Seventh Grade Math Overview
Math
First Semester Second Semester
Order of operations
Factors and prime numbers
Simple and compound interest
Equations with missing numbers
Metric units of measure
Signed numbers
RRules of equations
Probability and probability in a series
Using a calculator
Circumference and area of a circle
Constructing triangles and calculating area
Applying and transforming formulas
Applying functions to find unknown values
Ratios and proportions
Bisecting lines and angles
VVolume of geometric solids
Roots and exponents of fractions and
negative numbers
Scientific notation
Graphing a line for an equation
Grade 7
Math
Workbook
Oak Meadow, Inc.
Post Office Box 615
Putney, Vermont 05346
oakmeadow.com
Oak Meadow iii
Table of Contents
Worksheets
Lesson 1 ........................................................................................................................... 1
Skills Check
New Skills Practice: Mean, Median, Mode, and Range; Exponents;
Order of Operations
Lesson Test
Lesson 2 .......................................................................................................................... 11
Skills Check
New Skills Practice: Lowest Common Denominator, LCDs in Mixed
Numbers
Lesson Test
Lesson 3 .......................................................................................................................... 19
Skills Check
New Skills Practice: Multiplying and Dividing Fractions and Mixed
Numbers, Canceling Fractions, Fractions in the Order of Operations
Lesson Test
Lesson 4 Skills Review ............................................................................................... 29
Lesson Test
Table of Contents Grade 7 Math Workbook
iv Oak Meadow
Lesson 5 .......................................................................................................................... 35
Skills Check
New Skills Practice: Comparing Decimal Fractions; Adding and Subtracting
Decimals; Multiplying Decimals
Lesson Test
Lesson 6 .......................................................................................................................... 45
Skills Check
New Skills Practice: Dividing Decimals, Dividends of Less Than 1, Factors
Lesson Test
Lesson 7 ........................................................................................................................... 53
Skills Check
New Skills Practice: Multiplying and Dividing Decimals by 10, 100, and
1,000; Calculating Percentages; Principle and Interest; Compound
Interest
Lesson Test
Lesson 8 .......................................................................................................................... 63
Skills Check
New Skills Practice: Converting Between Fractions, Decimals, and
Percentages; Percentages in Word Problems; Calculating Square
Roots
Lesson Test
Lesson 9 Skills Review ............................................................................................... 73
Lesson Test
Lesson 10 ........................................................................................................................ 77
Skills Check
New Skills Practice: Finding Missing Numbers in Addition and Subtraction
Equations; Finding Missing Numbers in Multiplication and Division
Equations
Lesson Test
Grade 7 Math Workbook Table of Contents
Oak Meadow v
Lesson 11 ......................................................................................................................... 87
Skills Check
New Skills Practice: Negative Numbers; Using a Number Line; Graphing
Inequalities; Metric Units of Measurement
Lesson Test
Lesson 12 ........................................................................................................................ 97
Skills Check
New Skills Practice: Adding and Subtracting Signed Numbers
Lesson Test
Lesson 13 ........................................................................................................................ 105
Skills Check
New Skills Practice: Multiplying Signed Numbers; Dividing Signed
Numbers
Lesson Test
Lesson 14 Skills Review ............................................................................................. 113
Lesson Test
Lesson 15 ........................................................................................................................ 117
Skills Check
New Skills Practice: Addition Rule of Equations; Subtraction Rule
of Equations; Division Rule of Equations; Multiplication Rule
of Equations
Lesson Test
Lesson 16 ........................................................................................................................ 127
Skills Check
New Skills Practice: Calculating Probability; Probability of a Series
Lesson Test
Table of Contents Grade 7 Math Workbook
vi Oak Meadow
Lesson 17 ......................................................................................................................... 137
Skills Check
New Skills Practice: Using a Calculator for Decimals, Fractions, and
Percentages; Using a Calculator with Signed Numbers; Calculating
Square Roots; Third and Fourth Roots
Lesson Test
Lesson 18 Skills Review ............................................................................................. 147
Lesson Test
Lesson 19 ........................................................................................................................ 159
Skills Check
New Skills Practice: Circumference and Area of a Circle; Measuring and
Classifying Angles; Measuring and Classifying Triangles
Lesson Test
Lesson 20 ....................................................................................................................... 169
Skills Check
New Skills Practice: Using a Compass; Constructing Triangles;
Calculating the Area of Rectangles and Triangles
Lesson Test
Lesson 21 ........................................................................................................................ 179
Skills Check
New Skills Practice: Applying Formulas; Distance, Rate, and Time;
Transforming Formulas
Lesson Test
Lesson 22 ........................................................................................................................ 191
Skills Check
New Skills Practice: Determining Sequence Patterns; Applying
Functions to Find Unknown Values; Identifying Functions
Lesson Test
Grade 7 Math Workbook Table of Contents
Oak Meadow vii
Lesson 23 Skills Review ............................................................................................ 201
Lesson Test
Lesson 24 ........................................................................................................................ 207
Skills Check
New Skills Practice: Determining Ratios; Calculating Proportions;
Converting Units in Proportions; Using Proportions in Congruent
and Similar Triangles; Multistep Ratio Problems
Lesson Test
Lesson 25 ........................................................................................................................ 219
Skills Check
New Skills Practice: Using Two Rules to Solve Equations; Variables,
Terms, and Coefficients; Expressions with More Than One Variable;
Combining Like Terms; Negative Coefficients; Two-step Evaluation
Problems
Lesson Test
Lesson 26 ........................................................................................................................ 229
Skills Check
New Skills Practice: Constructing a Perpendicular Bisector; Drawing
a Geometric Design; Copying Angles by Construction; Bisecting
an Angle
Lesson Test
Lesson 27 Skills Review ............................................................................................. 237
Lesson Test
Lesson 28........................................................................................................................ 243
Skills Check
New Skills Practice: Calculating the Perimeter of Polygons; Drawing
Geometric Solids; Determining the Volume of Geometric Solids
Lesson Test
Table of Contents Grade 7 Math Workbook
viii Oak Meadow
Lesson 29 ........................................................................................................................ 259
Skills Check
New Skills Practice: Creating Equations to Solve Problems with
Unknowns; Equations for Parts of Numbers; Developing Equations
from Word Problems
Lesson Test
Lesson 30 ....................................................................................................................... 271
Skills Check
New Skills Practice: Symbols of Inclusion in the Order of Operations;
Evaluating Variables with Exponents; Finding the Value of Squared
Variables; Multiple-Term Equations
Lesson Test
Lesson 31 ........................................................................................................................ 285
Skills Check
New Skills Practice: Fractions with Exponents; Roots of Fractions;
Exponents with Negative Bases; Roots of Negative Numbers
Lesson Test
Lesson 32 Skills Review ............................................................................................ 297
Lesson Test
Lesson 33 ........................................................................................................................ 303
Skills Check
New Skills Practice: Scientific Notation; Multiplying with Scientific Notation;
Metric Units of Weight and Volume
Lesson Test
Lesson 34 ........................................................................................................................ 313
Skills Check
New Skills Practice: Rectangular Coordinates; Graphing a Line for
an Equation; Base 2 Numbers
Lesson Test
Grade 7 Math Workbook Table of Contents
Oak Meadow ix
Lesson 35 Skills Review ............................................................................................ 325
Lesson Test
Lesson 36 Final Exam ................................................................................................. 331
Lesson Test/Final Exam
Appendix
Extra Practice Worksheets ....................................................................................... 351
Lesson 1 ........................................................................................................................... 353
Addition and Subtraction in Order of Operations
Parentheses in Order of Operations
Multiplication in Order of Operations
Division in Order of Operations
Lesson 2 .......................................................................................................................... 361
Common Denominators in Addition and Subtraction Involving Fractions
Finding the Lowest Common Denominator (LCD)
LCDs in Mixed Numbers
Regrouping in Mixed Number Subtraction
Lesson 3 .......................................................................................................................... 369
Multiplying Fractions
Multiplying Mixed Numbers
Reducing Fractions by Canceling before Multiplying
Dividing Fractions
Lesson 5 .......................................................................................................................... 377
Comparing Decimals
Adding Decimals
Subtracting Decimals
Multiplying Decimals
Table of Contents Grade 7 Math Workbook
x Oak Meadow
Lesson 6 .......................................................................................................................... 385
Dividing Decimals by Whole Numbers
Dividends of Less Than 1
Decimals with Remainders
Dividing Decimals by Decimals
Dividing Whole Numbers by Decimals
Lesson 7 ........................................................................................................................... 395
Multiplying Decimals by 10, 100, and 1,000
Dividing Decimals by 10, 100, and 1,000
Calculating Percentages
Converting Decimals to Percentages
Simple and Compound Interest
Lesson 8 .......................................................................................................................... 405
Converting Fractions to Decimals and Percentages
Converting Decimals to Percentages and Fractions
Word Problems Involving Percentages
Calculating Square Roots
Lesson 10 ........................................................................................................................ 413
Finding Missing Numbers in Addition and Subtraction Equations
Finding Missing Numbers in Multiplication Equations
Finding Missing Numbers in Division Equations
Lesson 12 ........................................................................................................................ 421
Adding Signed Numbers
Subtracting Signed Numbers
Lesson 13 ........................................................................................................................ 425
Multiplying Signed Numbers
Dividing Signed Numbers
Grade 7 Math Workbook Table of Contents
Oak Meadow xi
Lesson 15 ........................................................................................................................ 429
Addition Rule of Equations
Subtraction Rule of Equations
Division Rule of Equations
Multiplication Rule of Equations
Lesson 17 ......................................................................................................................... 437
Using a Calculator for Decimals
Using a Calculator to Convert Fractions to Decimals
Using a Calculator to Determine the Value of Exponents
Using a Calculator to Find Square Roots
Lesson 20 ....................................................................................................................... 445
Calculating the Area of a Triangle
Lesson 21 ........................................................................................................................ 447
Applying Formulas
Transforming Formulas
Lesson 22 ........................................................................................................................ 451
Determining Sequence Patterns
Applying and Identifying Functions
Lesson 24 ........................................................................................................................ 455
Determining Ratios
Calculating Proportions
Proportions in Word Problems
Converting Units in Proportion Problems
Multistep Ratio Problems
Lesson 25 ........................................................................................................................ 465
Using Two Rules to Solve Equations
Equations with Two Variables
Combining Like Terms
Table of Contents Grade 7 Math Workbook
xii Oak Meadow
Lesson 29 ........................................................................................................................ 471
Creating Equations to Solve Problems with Unknowns
Equations for Parts of Numbers
Lesson 30 ....................................................................................................................... 477
Symbols of Inclusion in the Order of Operations
Evaluating Variables with Exponents
Multiple-Term Equations
Lesson 31 ........................................................................................................................ 485
Roots of Fractions
Exponents with Negative Bases
Roots of Negative Numbers
Lesson 33 ........................................................................................................................ 491
Scientific Notation
Lesson 35 ........................................................................................................................ 493
Grade 7 Year-end Review Practice Sheet 1
Grade 7 Year-end Review Practice Sheet 2
Grade 7 Year-end Review Practice Sheet 3
Grade 7 Year-end Review Practice Sheet 4
Grade 7 Year-end Review Practice Sheet 5
Grade 7 Year-end Review Practice Sheet 6
Grade 7 Year-end Review Practice Sheet 7
Grade 7 Year-end Review Practice Sheet 8
Grade 7 Year-end Review Practice Sheet 9
Grade 7 Year-end Review Practice Sheet 10
Answer Key .................................................................................................................. 533
Oak Meadow 1
Lesson
Skills Check
1
Solve the following problems to refresh the skills you’ve learned in previous years. Show your work,
and reduce all fractions to lowest terms. Express division remainders as decimals. Answer all word
problems in complete sentences and use unit labels (inches, tons, apples, etc.).
1.
$12.95
2.
23,125
3.
4.
5.
6.
2
3
2
3
7.
12
12
8. Tyler spends $35.72 per month on his phone bill. How much did he spend in the past two years?
Oak Meadow 3
Lesson
New Skills Practice
Mean, Median, Mode, and Range;
Exponents; and Order of Operations
1
1. 16, 24, 18, 23, 19, 18, 22, 18, 20, 21
Mean:
Median:
Mode:
Range:
2. 1,162 — 1,160 — 1,166 — 1,165 — 1,166 — 1,167 — 1,169
Mean:
Median:
Mode:
Range:
3. What is the value of 6
4
?
4. What is the value of 2
2
?
5. What is the value of 5
4
?
Lesson 1: New Skills Practice Grade 7 Math Workbook
4 Oak Meadow
Lesson 1 New Skills Practice (continued)
6. What is the value of 9
3
?
7. What is the value of 7
4
?
8. What is the value of 6
2
?
9.
•
10.
11.
•
•
12.
Grade 7 Math Workbook Lesson 1: New Skills Practice
Oak Meadow 5
Lesson 1 New Skills Practice (continued)
13.
2
14.
•
3
15.
3
16.
2
17.
2
18.
Oak Meadow 7
Lesson
Test
1
Calculate the value of the following exponents.
1.
5
2.
3
3.
3
Find a common denominator and then solve the following problems, reducing your answers to lowest
terms.
4.
32
12
2
5.
3
1
6.
1
5
Lesson 1: Test Grade 7 Math Workbook
8 Oak Meadow
Lesson 1 Test (continued)
Solve the following problems, using the order of operations.
7.
•
3
8.
2
9.
•
2
10.
2
11.
•
3
12.
2
Grade 7 Math Workbook Lesson 1: Test
Oak Meadow 9
Lesson 1 Test (continued)
13. The Greenfield Playhouse’s annual play included children of the following ages: 7, 9, 11, 8, 10, and 9.
Calculate the mean age of the child actors.
14. At a used car lot, four cars were for sale at the following prices: $8,499, $7,999, $6,550, $7,275. What
was the median sale price of the four used cars?
15. There were riders in a dirt bike competition with the following birth years: 2008, 2000, 1999,
2001, 2005, 2001, 2000, 2006, 2007. Calculate the mean, median, mode, and range for the birth
years of the riders. (You don’t have to use a complete sentence in your answer.)
Mean:
Median:
Mode:
Range:
16. Calculate the mean, median, mode, and range for the following set of numbers.
43, 23, 33, 34, 31, 44, 23
Mean:
Median:
Mode:
Range:
Lesson 1: Learning Checklist Grade 7 Math Workbook
10 Oak Meadow
Lesson 1 Learning Checklist
Please fill out the learning checklist found at the end of each lesson test. This checklist will help you
keep track of how your skills are progressing and what you need to work on. You can also add notes to
help your parent or teacher understand how to help you (or your parent might want to add notes in
this space).
Here is what the different headings mean:
Developing: You still need to work on this skill.
Consistent: You use this skill correctly most of the time.
Competent: You show mastery of this skill.
Please remember that these skills continue to develop over time so don’t worry if you can’t do all of
them yet. The main goal is to be aware of which skills you need to focus on.
LESSON 1 SKILLS Developing Consistent Competent Notes
Calculate mean, median, mode,
and range
Calculate value of exponents
Use order of operations to solve
equations involving multiple
processes
Oak Meadow 11
Lesson
Skills Check
2
Use a calculator to solve decimal problems, and solve common fraction problems by hand. Round off
longer answers to two decimal places.
1.
2.
3.
4.
2
1
3
3
5.
6.
Lesson 2: Skills Check Grade 7 Math Workbook
12 Oak Meadow
Lesson 2 Skills Check (continued)
7.
)
32.1.7
8.
7
1
5
5
9.
Oak Meadow 13
Lesson
New Skills Practice
Lowest Common Denominator in
Fractions and Mixed Numbers
2
Reduce answers to the lowest terms.
1.
2
3
1
2.
7
1
2
3.
3
1
2
Find the lowest common denominator and solve.
4.
3
1
5.
1
1
9
6.
3
3
Lesson 2: New Skills Practice Grade 7 Math Workbook
14 Oak Meadow
Lesson 2 New Skills Practice (continued)
Find the lowest common denominator and solve.
7.
3
5
7
8.
19
1
2
13
1
9.
37
7
1
5
10.
21
1
3
1
5
11.
1
1
2
12.
52
1
1
12
13.
13
1
7
2
14.
2
1
2
15.
1
1
Oak Meadow 15
Lesson
Test
2
Reduce answers to the lowest terms.
1.
3
2
3
2.
3
5
1
2
3.
2
1
3
Find the lowest common denominator and solve.
4.
5
1
5.
3
5
12
6.
5
3
Lesson 2: Test Grade 7 Math Workbook
16 Oak Meadow
Lesson 2 Test (continued)
Find the lowest common denominator and solve.
7.
29
3
2
8.
23
5
2
3
9.
2
3
17
3
5
Solve the following problems. Reduce answers to lowest terms.
10.
11.
12.
1
1
2
3
13.
23.92
14.
)
7
Grade 7 Math Workbook Lesson 2: Test
Oak Meadow 17
Lesson 2 Test (continued)
Solve the following problems. Reduce answers to lowest terms.
15. Mark goes jogging on a course that is 3.75 kilometers long. If he completes the full course every
morning, how many kilometers does he jog in one week?
16. Lucy bought an axe at the hardware store. The axe cost $21.45 and the tax was $1.07. If she gave the
clerk $30.00, how much change should she receive?
17. Leslie is buying a car, and she wants to pay for it in 36 monthly installments. If the total cost of the
car is $10,400, how much would Leslie have to pay each month? Round off your
answer to two decimal places.
18. When Frank left for work one day, the odometer (mileage gauge) on his car read 42,549.7. He
drove straight to his office, and when he got there the odometer read 42,565.1. How many miles
is it from Frank’s house to his office?
Lesson 2: Learning Checklist Grade 7 Math Workbook
18 Oak Meadow
Lesson 2 Learning Checklist
LESSON 2 SKILLS Developing Consistent Competent Notes
Identify common denominators
when adding and subtracting
fractions
Identify the lowest common
denominator (LCD) with fractions
Find the lowest common
denominator when adding and
subtracting mixed numbers
Use regrouping (borrowing) when
subtracting mixed numbers
Oak Meadow 45
Lesson
Skills Check
6
Use a calculator to solve decimal problems, and solve common fraction problems by hand. Round off
longer answers to two decimal places.
1.
2.
3
1
3
1
3.
4.
5.
3
1
3
2
9
6.
7.
8.
1
1
3
5
9.
Oak Meadow 47
Lesson
New Skills Practice
Dividing Decimals; Factors and
Prime Numbers
6
1.
2.
)
7
3.
)
9
4.
5.
)
6.
7.
8.
9.
)
Lesson 6: New Skills Practice Grade 7 Math Workbook
48 Oak Meadow
Lesson 6 New Skills Practice (continued)
10.
11.
)
12.
13.
9
14.
15.
)
15
Write the factors of the following numbers.
16.
17.
18.
1
19.
20.
21.
7
Oak Meadow 49
Lesson
Test
6
Reduce all common fractions to lowest terms.
1.
2.
)
3.
1
3
1
2
4.
)
5.
6.
)
7.
1
7
1
3
8.
)
5
9.
Lesson 6: Test Grade 7 Math Workbook
50 Oak Meadow
Lesson 6 Test (continued)
10.
11.
12.
)
.3
13. Mrs. Johnson drives to work every day. When she left for work one day, the odometer (mileage
gauge) on her car read 38,643.8. When she returned to her house at the end of the day, the
odometer read 38,668.6. If she didn’t drive anywhere else during the day but to work and back,
how many miles is it from her house to her work?
14. Jason is buying a car, and he wants to pay for it in 48 monthly installments. If the total cost of the
car is $9,300, how much would Jason have to pay each month?
Grade 7 Math Workbook Lesson 6: Test
Oak Meadow 51
Lesson 6 Test (continued)
15. Jennifer bought an axe at the hardware store. The axe cost $19.95 and the tax was $1.20. If she gave
the clerk $25.00, how much change should she receive?
16. Rahima goes jogging on a course that is 2.75 kilometers long. If she completes the full course
every morning, how many kilometers does she jog in one week?
Lesson 6 Learning Checklist
LESSON 6 SKILLS Developing Consistent Competent Notes
Divide using decimals and whole
numbers
Divide decimals by decimals
Solve division problems involving
rounding remainders in decimals
Solve division problems involving
repeating decimals
Determine factors of a whole
number
Identify prime numbers
Oak Meadow 137
Lesson
Skills Check
17
Use a calculator to solve decimal problems, and solve common fraction problems by hand. Round off
longer answers to two decimal places.
1.
2.
3.
4.
Write 2
3
5
as a decimal.
5. Write
2
3
as a decimal rounded off to hundredths.
Lesson 17: Skills Check Grade 7 Math Workbook
138 Oak Meadow
Lesson 17 Skills Check (continued)
6. What is 38% of 1,200?
7. What percent is 47 out of 50?
Oak Meadow 139
Lesson
New Skills Practice
Using a Calculator; Third and
Fourth Roots
17
Use your calculator to solve the following problems, and write the answer below the problem. Round
off longer answers to two decimal places.
1.
2.
3.
4.
Use your calculator to change the following common fractions to decimals, and write the answer below
the problem. Round off longer answers to two decimal places.
5.
1
1
3
6.
2
9
7.
7
8.
9
11
Lesson 17: New Skills Practice Grade 7 Math Workbook
140 Oak Meadow
Lesson 17 New Skills Practice (continued)
Use a calculator to determine percentages in the following problems.
9. Jennifer went to the mall with $50. She spent $35 at the mall. What percent of her $50 did she
spend at the mall?
10. Louis has been traveling a lot lately as part of his job. During the past 60 days, he’s been out of
town 43 days. What percent of the past 60 days has Louis been out of town? Round off the per-
cent to whole numbers only.
11. There are 7 trees in Miranda’s front yard. 3 of them are maples and 4 are oaks. What percent of the
trees in Miranda’s front yard are oaks? Round off the percent to whole numbers only.
12. Feliciano has 5 dogs. 3 of the dogs are male and 2 are female. What percent of Feliciano’s dogs are
male?
13. There were 15 girls on the basketball team. 4 of them scored over 10 points in the game. What per-
cent of the girls on the team scored over 10 points in the game? Round off the percent to whole
numbers only.
Grade 7 Math Workbook Lesson 17: New Skills Practice
Oak Meadow 141
Lesson 17 New Skills Practice (continued)
Use your calculator to determine the value of the following terms. Do not round off decimal
answers.
14. What is the value of 15
2
?
15. What is the value of 48
3
?
16. What is the value of 6.3
4
?
17. What is the value of 10
5
?
18. What is the value of 84
4
?
19. What is the value of 2.7
3
?
Lesson 17: New Skills Practice Grade 7 Math Workbook
142 Oak Meadow
Lesson 17 New Skills Practice (continued)
20. What is the square root of 169?
21. What is the value of ? (Round your answer to two decimal places.)
22. What is the the value of ?
23. What is the square root of 14.44?
Oak Meadow 143
Lesson
Test
17
Use a calculator to solve decimal problems, and solve common fraction problems by hand. Round off
longer answers to two decimal places.
1.
2.
3.
4.
5.
)
6.
3
3
2
5
7.
8.
1
9.
Lesson 17: Test Grade 7 Math Workbook
144 Oak Meadow
Lesson 17 Test (continued)
10.
11.
12.
13.
14.
15.
16.
)
Grade 7 Math Workbook Lesson 17: Test
Oak Meadow 145
Lesson 17 Test (continued)
17. Jean bought a skirt for $30. If the sales tax was 5% and she gave the clerk $50, how much change
should she receive?
18. John Jacobs received 1,247 votes out of 3,416 votes cast in the election. What percent of the votes
did John receive? Round off the answer to the nearest one percent.
19. Pierre wants to buy a car that costs $15,847. The salesman says Pierre must make a down payment
of 15% if he wants to buy the car and pay for it in monthly installments. What is the dollar
amount of the down payment that Pierre must make?
20. Eli had dinner at a restaurant. The meal came to $14.63 and the tax was $1.17. If he left a $3.00 tip,
what was the total cost of his meal?
Lesson 17: Learning Checklist Grade 7 Math Workbook
146 Oak Meadow
Lesson 17 Learning Checklist
LESSON 17 SKILLS Developing Consistent Competent Notes
Use a calculator to solve problems
with the four processes
Use a calculator to convert fractions
to decimals
Use a calculator to solve problems
involving percentages
Use a calculator to solve problems
involving signed numbers
Use a calculator to determine
square roots
Determine third and fourth roots of
numbers
Oak Meadow 201
Lesson
Skills Review: Test
23
1. If the radius of a circle is 3
1
2
inches, what is the circumference?
2. What is the area of a circle that has a radius of 3 miles?
Find the area of triangles with the following measurements:
3.
h
b
b = 32 inches
h = 22 inches
Lesson 23: Skills Review: Test Grade 7 Math Workbook
202 Oak Meadow
Lesson 23 Skills Review: Test (continued)
4.
h
b
b = 13 cm
h = 9 cm
5. Alyssa is driving to Chicago, and she is traveling at 60 miles per hour. If Chicago is 96 miles away,
how long will it take her (in hours and minutes) to get there if she maintains her present rate of
speed?
6. What is the width of a rectangle that has an area of 112 square inches and a length of 14 inches?
Find the next three numbers in the following sequence.
7. 1,
1
2
,
1
4
,
1
8
, . . .
Grade 7 Math Workbook Lesson 23: Skills Review: Test
Oak Meadow 203
Lesson 23 Skills Review: Test (continued)
Use the following functions to find the missing numbers in the tables.
8. y = 5x − 4
x y
a.
10
b.
15
c.
20
9. y =
3
4
x + 12
x y
a.
20
b.
40
c.
60
Find the function for the relationship between the following sets of numbers.
10.
x y
1 1
2 4
3 9
11.
x y
1 3
2 6
3 11
Lesson 23: Skills Review: Test Grade 7 Math Workbook
204 Oak Meadow
Lesson 23 Skills Review: Test (continued)
12. George is making a loaf of whole wheat bread and a loaf of banana bread. He needs 4
1
2
cups of
flour for one recipe and 3
3
4
cups for the other. How many cups of flour does he need altogether?
13. What is the square of 16?
14. In a track and field meet, Jan ran the 100-meter dash in 11.78 seconds. Michele’s time was 12.01
seconds. How much faster was Jan than Michele?
15. Kris bought a pair of shoes for $49.95. If the sales tax was 6.5%, how much did she pay in sales tax?
(Round off to the nearest cent.)
Grade 7 Math Workbook Lesson 23: Skills Review: Test
Oak Meadow 205
Lesson 23 Skills Review: Test (continued)
16. Lila’s dog Mollie had 8 puppies. 6 of them were male and 2 were female. What percent of Mollie’s
puppies were female?
Simplify the following expressions.
17.
2
18.
•
3
19.
2
20.
•
2
Lesson 23: Learning Checklist Grade 7 Math Workbook
206 Oak Meadow
Lesson 23 Learning Checklist
CUMULATIVE SKILLS
LESSONS 19–22
Developing Consistent Competent Notes
Determine area of a circle using pi
Determine circumference of a circle
using pi
Identify different types of angles
Use a protractor to measure angles
Classify triangles based on angles
Classify triangles based on length
of sides
Calculate the sum of angles in a
triangle
Use a drawing compass with
accuracy
Use a compass to construct
triangles
Apply formula to determine the
area of a triangle
Apply formula to determine the
area of a rectangle
Solve problems involving rate,
distance, and time
Transform formulas using rules for
equations
Determine the pattern of numbers
in a sequence
Use functions to determine
unknown values in a set of numbers
Determine the function that
describes a related set of numbers
Oak Meadow 349
Appendix
Extra Practice Worksheets ....................................................................................... 351
Answer Key .................................................................................................................... 533
Extra Practice
Worksheets
Oak Meadow 353
Lesson
Addition and
Subtraction in Order
of Operations
1
1.
2.
3.
4.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
354 Oak Meadow
5.
6.
Oak Meadow 355
Lesson
Parentheses in
Order of Operations
1
1.
2.
3.
4.
5.
6.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
356 Oak Meadow
7.
8.
9.
10.
11.
12.
Oak Meadow 357
Lesson
Multiplication in
Order of Operations
1
Simplify the following expressions.
1.
2.
3.
•
4.
5.
•
6.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
358 Oak Meadow
7.
•
8.
Oak Meadow 359
Lesson
Division in Order
of Operations
1
Write the value of the following expressions.
1.
•
2.
3.
4.
5.
•
6.
•
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
360 Oak Meadow
7.
•
8.
9.
10.
•
11.
12.
Oak Meadow 361
Lesson
Common Denominators in
Addition and Subtraction
Involving Fractions
2
Reduce answers to the lowest terms.
1.
5
1
2
2.
2
5
3
3.
3
4.
3
1
3
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
362 Oak Meadow
5.
3
5
6.
1
2
1
Oak Meadow 363
Lesson
Finding the
Lowest Common
Denominator (LCD)
2
Find the lowest common denominator and solve.
1.
1
1
2.
5
7
12
3.
5
2
9
4.
3
1
12
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
364 Oak Meadow
5.
1
1
6.
3
5
Oak Meadow 365
Lesson
LCDs in Mixed
Numbers
2
Find the lowest common denominator and solve.
1.
17
1
2
3
2.
3
23
1
2
3.
13
5
1
4.
5
12
7
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
366 Oak Meadow
5.
12
2
6.
13
1
2
3
Oak Meadow 367
Lesson
Regrouping in Mixed
Number Subtraction
2
Find the lowest common denominator and solve.
1.
31
3
19
3
2.
29
1
3
3.
13
1
2
4.
25
1
3
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
368 Oak Meadow
5.
1
9
3
2
3
6.
17
1
2
5
Oak Meadow 385
Lesson
Dividing Decimals
by Whole Numbers
6
1.
2.
)
7
3.
4.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
386 Oak Meadow
5.
)
6.
Oak Meadow 387
Lesson
Dividends of Less
Than 1
6
1.
)
2.
3.
)
9
4.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
388 Oak Meadow
5.
)
7
6.
7.
)
8.
9.
)
5
Oak Meadow 389
Lesson
Decimals with
Remainders
6
1.
2.
)
5
3.
4.
)
2
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
390 Oak Meadow
5.
)
6.
7.
)
8.
9.
)
9.3
Oak Meadow 391
Lesson
Dividing Decimals
by Decimals
6
1.
2.
)
.7
3.
4.
)
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
392 Oak Meadow
5.
6.
)
.5
Oak Meadow 393
Lesson
Dividing Whole
Numbers by Decimals
6
1.
2.
)
3
3.
4.
)
2.1
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
394 Oak Meadow
5.
)
6.
7.
)
72
8.
9.
)
1.2
Oak Meadow 437
Lesson
17
Using a Calculator
for Decimals
Use your calculator to solve the following problems, and write the answer below the problem. Round
off longer answers to two decimal places.
1.
2.
3.
)
52.51
4.
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
438 Oak Meadow
5.
6.
7.
8.
Oak Meadow 439
Lesson
17
Using a Calculator
to Convert Fractions
to Decimals
Use your calculator to change the following common fractions to decimals, and write the answer below
the problem. Round off longer answers to two decimal places.
1.
3
2.
13
15
3.
3
1
2
4.
1
5.
2
3
6.
5
1
Oak Meadow 441
Lesson
17
Using a Calculator
to Determine the
Value of Exponents
Use your calculator to determine the value of the following terms. Do not round off decimal answers.
1. What is the value of
?
2. What is the value of
3
?
3. What is the value of 75
?
4. What is the value of 19
3
?
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
442 Oak Meadow
5. What is the value of 1.7
?
6. What is the value of
2
?
Oak Meadow 443
Lesson
17
Using a Calculator to
Find Square Roots
Use your calculator to determine the value of the following terms. Round off decimal fractions to two
decimal places.
1. What is the square root of 34.81?
2. What is the value of ?
3. What is the value of ?
4. What is the square root of 625?
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
444 Oak Meadow
5. What is the value of ?
6. What is the square root of 15.21?
Oak Meadow 493
Grade
7
Year-end Review
Practice Sheet 1
Solve each problem as indicated.
1.
3
x
5
7
2.
1
1
2
3
1
3
3.
5
h
4.
2
1
7
5.
1
5
g
2
3
6.
w
1
3
2
3
7.
3
2
p
8.
c
9.
()
+25 5
22
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
494 Oak Meadow
10.
F
11.
7
1
5
12.
c
13. The ratio of men to women at a certain college is 3 to 2. If there are 2,500 women at the college,
how many men are there?
14. If a container holds 1.25 liters, how many milliliters is that?
15. What is the circumference of a circle with a diameter of 2.5 meters?
16. How many kilograms are 327 grams?
Oak Meadow 495
Grade
7
Year-end Review
Practice Sheet 2
1. Find the mean, median, mode, and range for the following set of numbers. Round off the mean to
the nearest tenth.
103, 106, 104, 105, 107, 104, 102
Mean:
Median:
Mode:
Range:
2. How many millimeters are 15.3 centimeters?
3. How many kilometers are 12,624 meters?
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
496 Oak Meadow
4. What is the probability of taking 1 red stone out of a box containing 5 stones that are colored red,
green, blue, yellow, and brown?
5. Jim is fishing in a pond, and there are 12 fish in the pond. 3 of the fish are trout and 9 are bass. If all
of the fish are equally easy to catch, and if he keeps each fish he catches, what is the probability
that the first two fish Jim catches will be trout?
Solve as indicated. Show your work.
6.
7.
8.
9.
Grade 7 Math Workbook Appendix: Extra Practice Worksheets
Oak Meadow 497
10.
11.
y
12.
m
13.
9z
14.
3
p
15. What is the chance of rolling an even number the first time on a die numbered 1 through 6?
Appendix: Extra Practice Worksheets Grade 7 Math Workbook
498 Oak Meadow
16. If a spinner is divided into equal parts numbered 1 through 8, what is the chance that the arrow
will land on either a 1 or an 8 two times in a row?
17. There are 8 oak trees, 4 birch trees, and 3 maple trees behind Jim’s house. What is the ratio of oak
trees to birch trees?
18. The ratio of teachers to students at Pikeville College is 1:20. If there are 4,000 students at the col-
lege, how many teachers are there?
19. Frank draws comic strips. He can draw 4 frames in 15 minutes. At that rate, how many frames can
he draw in 6 hours?
20. What is the area of a rectangle with a width of 3.8 meters and a length of 15 meters?
Oak Meadow 533
Answer Key
Skill Practice and Test Problems
Lesson 1
Skills Check
1. $1.87
2. 47,844
3. 437.489
4. 238.25
5. 13,124
6. 1
1
3
7.
1
6
8. Tyler has spent $857.28 on his phone bill in
the last 24 months.
New Skills Practice
1. Mean: 19.9 Median: 19.5 Mode: 18 Range: 8
2. Mean: 1,165 Median: 1,166 Mode: 1,166 Range: 9
3. 1,296
4. 4
5. 625
6. 729
7. 2,401
8. 36
9. 8
10. 115
11. 90
12. 23.72
13. 11.6
14. 23.9
15. 129.8
16. 3.2
17. 10.2
18. 36.2
Lesson 1 Test
1. 625
2. 729
3. 1,000
4. 3
5.
5
24
6. 1
7. 218
8. 38.8
9. 41
10. 20.5
11. 84
12. 27.8
13. The mean age of the child actors is 9 years old.
14. The median price of the used cars was $7,637.
15. Mean: 2003 Median: 2001 Mode: 2000, 2001 Range: 9
16. Mean: 33 Median: 33 Mode: 23 Range: 21
Appendix: Answer Key Grade 7 Math Workbook
534 Oak Meadow
Lesson 2
Skills Check
1. 44.11
2. 114.54
3. 4.12
4. 8
1
12
5. 7.25
6. 136.64
7. 45.86
8. 2
2
5
9. 20.1
New Skills Practice
1.
5
12
2. 1
3
8
3.
1
4
4.
5
24
5.
5
18
6. 1
1
20
7. 31
3
10
8. 6
1
4
9. 18
1
2
10. 7
2
15
11. 28
2
3
12. 23
1
24
13. 6
14. 14
15. 24
1
24
Lesson 2 Test
1.
1
12
2. 1
1
10
3.
1
6
4.
17
24
5.
19
24
6.
1
12
7. 42
8. 17
2
15
9. 42
4
15
10. 8.89
11. 488,166
12. 11
1
4
13. 38.68
14. 518
15. 26.25 km
16. $7.48
17. $288.89
18. 15.4 mi
Lesson 3
Skills Check
1. $21,900 2. 1
1
4
gallons 3. $546 4. 87 people
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 537
Lesson 6
Skills Check
1. 35.38
2. 5
7
12
3. 48.66
4. 11.34
5. 1
1
2
6. 32.2
7. 3.56
8. 3
1
4
9. 2.23
New Skills Practice
1. 1.4
2. 3.21
3. 1.504
4. .159
5. .088
6. .068
7. 8.675
8. 2.306
9. 5.325
10. 30.8
11. 5.49
12. 9.61
13. 18
14. 362.5
15. 9.375
16. 1, 2, 4, 8
17. 1, 2, 7, 14
18. 1
19. 1, 2, 3, 4, 6, 8, 12, 24
20. 1, 2, 5, 10
21. 1,7
Lesson 6 Test
1. 1.238
2. 2.496
3.
7
10
4. .004
5. 20
6. 3.95
7. 2
1
2
8. 3.892
9. 619.595
10. 13.733
11. 360.64
12. 150
13. 12.4 miles
14. $193.75
15. $3.85
16. 19.25 km
Lesson 7
Skills Check
1. 17.435
2. 1
1
2
3. 376.56
4. .004
5. 3.076
6. 8.292
7. 215.18
8. 5
9. 3.065
10. 1.64
11. 6.41
12. 3.432
13. 71.6 miles
14. 29.5
15. $8.25
16. 15
75
100
or 15
3
4
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 543
Lesson 16
Skills Check
1. 20.6
2. 16
3. 6,561
4. 41
5. 7
6. 30
7. 216
New Skills Practice
1.
1
7
2.
1
4,096
3.
1
2
4.
1
221
5. 25%
6. 20%
7. 6.25%
8. 50%
9. 75%
Lesson 16 Test
1. 3
1
2
2. –3
3. 1
2
3
4. 12
5. 0
6. .0108
7. –4
1
2
8. 224
9. –
1
8
10. 16.4
11. 18
12. 23
1
2
13. Mean: 6.6 Median: 6.6 Mode: 6.7 Range: .9
14. 1, 2, 4, 7, 14, 28 15. 75% 16. 27
5
12
Lesson 17
Skills Check
1. 6.09
2. 7.68
3. 5
4. 2.6
5. 0.67
6. 456
7. 94%
New Skills Practice
1. 227.82
2. 47.26
3. 6.25
4. 8.38
5. 1.33
6. 0.22
7. 0.88
8. 4.82
9. 70%
10. 72%
11. 57%
12. 60%
13. 27%
14. 225
15. 110,592
16. 1,575.2961
17. 100,000
18. 49,787,136
19. 19.683
20. 13
21. 25.30
22. 32
23. 3.8
Appendix: Answer Key Grade 7 Math Workbook
544 Oak Meadow
Lesson 17 Test
1. 18.90
2. 0.28
3. 15.96
4. – 4
5. 5.78
6. 1
1
2
7. 0.82
8. 4
4
5
9. +2
10. +8
11. 21.6
12. –13
13. –6.72
14. –3.2
15. –30.03
16. +6.52
17. $18.50
18. 37%
19. $2,377.05
20. $18.80
Lesson 18
Lesson 18 Test
1. Mean: 104.4 Median: 104 Mode: 104 Range: 5
2. 153 mm
3. 12.624 km
4.
1
5
5.
5
51
6. 10.2
7. – 27
8. + 20
9. – 2
10. 7
11. y = 3.2
12. m = 3
13. z = 0.05
14. p = 20
15. 50%
16. 6.25%
17. 1
1
16
18. 4.06
19. +10.2
20. 19.51
21. 0.67
22. 28.54
23. –6.9
24. 16.76
25. +11.4
26. –4.4
27. 1
11
21
28. 3.61
29. 9
30. 70
31. 29
32. 54.08
33. +22.1
34. –2.6
35. –24.96
36. +3.38
37. 2
38. 15.3
39. 19.1
40. 31
41. 7.4
42. 14.4
43.
1
7
44.
1
45
45. 14
46. 100
47. –18.7
48. 4,913
49. +32.64
50. 0.29 seconds
Lesson 19
Skills Check
1. 0.625
2. 10.8
3. 1.4%
4. 61.05
5. 20,736
6. 11.92
7. 7.21%
8. 90
1
4
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 547
Lesson 22
Skills Check
1. x = 6
2. 15.66
3. 2
2
5
4. –0.48
5. y = 4
2
3
6. g = 3.1
7.
1
24
8. e = 1.95
9. 9
New Skills Practice
1. 243, 729, 2187
2. 156, 168, 180
3. 160, 320, 640
4. 75, 90, 105
5. 90, 108, 126
6. a. 11 b. 20 c. 29
7. a. 5 b. 15. c. 25
8. a. 12.2 b. 18.6 c. 25
9. a. 1
1
4
b. 1
3
4
c. 2
1
4
10. y = x + 7
11. y = 4x
12. y = 2x + 1
13. y =
1
4
x
Lesson 22 Test
1. m = 3
3
7
2. 5.6
3. h = 4.8
4. 13
5. d = 0.72
6. 0
7. s = 2.5
8. y = 3
5
9
9. 5.11
10.
26
35
11. 7.68
12. x = – 6
13. 706.5 sq. feet
14. 41.8, 45.6, 49.4
15. a. 0 b. 6 c. 18
Lesson 23
Lesson 23 Test
1. 21.98 inches
2. 28.26 sq. miles
3. 352 sq. inches
4. a = 58.5 sq. cm.
5. 1 hour 36 minutes
6. 8 inches
7.
1
16
,
1
32
,
1
64
8. a. 46 b. 71 c. 96
9. a. 27 b. 42 c. 57
10. y = x
2
11. y = x
2
+ 2
12. 8
1
4
cups
13. 256
14. .23 seconds
15. $3.25
16. 25%
17. 26
18. 84
19. 19
20. 41
Appendix: Answer Key Grade 7 Math Workbook
558 Oak Meadow
36. y = 2x +1
37. 22
38. 10010110
39. a. (1, 3) b. (–3, 0) c. (–4, –3) d. (2, –2)
40. Individual points will vary and can be anywhere on the line, but the line must be in the location
indicated.
x
y
5
4
3
2
1
0
123 45–1–2–3–4–5
–1
–2
–3
–4
–5
Extra Practice Worksheets
Lesson 1
Addition and Subtraction in Order of Operations
1. 24
2. 18.9
3. 27.74
4. 4.4
5. 9.4
6. 38.76
Parentheses in Order of Operations
1. 5.5
2. 12.08
3. 6.51
4. 15.7
5. 40.5
6. 27.96
7. 8.1
8. 16.34
9. 17.6
10. 15.7
11. 6.91
12. 6.2
Multiplication in Order of Operations
1. 33.2
2. 11.1
3. 21
4. 17.46
5. 30
6. 27.18
7. 42
8. 22.9
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 559
Division in Order of Operations
1. 20
2. 24.2
3. 30
4. 45
5. 10
6. 16
7. 2
8. 15.3
9. 19.1
10. 31
11. 7.4
12. 14.4
Lesson 2
Common Denominators in Addition and Subtraction Involving Fractions
1.
3
10
2.
7
10
3.
5
8
4.
5
12
5. 1
3
8
6.
3
4
Finding the Lowest Common Denominator (LCD)
1.
7
24
2. 1
5
24
3.
11
18
4.
7
24
5.
3
20
6. 1
7
12
LCDs in Mixed Numbers
1. 9
1
8
2. 31
1
4
3. 4
7
12
4. 12
7
24
5. 11
5
12
6. 21
Regrouping in Mixed Number Subtraction
1. 11
5
8
2. 22
7
20
3. 5
4. 8
5
12
5. 4
4
9
6. 7
7
10
Lesson 3
Multiplying Fractions
1.
5
8
2. 6
3.
1
18
4. 1
3
4
5.
8
15
6. 3
7.
1
6
Multiplying Mixed Numbers
1. 1
11
24
2. 7
11
12
3. 1
3
20
4. 3
3
10
5.
11
12
6. 4
1
6
7. 1
1
7
Appendix: Answer Key Grade 7 Math Workbook
560 Oak Meadow
Reducing Fractions by Canceling before Multiplying
1. 1
2. 4
3.
1
2
4. 3
1
5
5. 11
6. 1
1
2
7.
1
4
Dividing Fractions
1. 16
2.
4
5
3. 10
4. 1
2
5
5. 3
1
3
6.
1
20
7.
1
15
Lesson 5
Comparing Decimals
1. <
2. >
3. =
4. >
5. <
6. <
7. >
8. >
Adding Decimals
1. 10.432
2. 9.25
3. 15.103
4. .87
5. 13.42
6. 9.05
7. 11.63
8. 8.41
Subtracting Decimals
1. .43
2. 3.437
3. .496
4. 11.68
5. 9.305
6. .311
7. .217
8. 12.204
Multiplying Decimals
1. 74.034
2. 0.27
3. 65.32
4. 23.154
5. 1.086
6. 10.75
7. 2.44
8. 44.24
Lesson 6
Dividing Decimals by Whole Numbers
1. 4.791
2. 2.681
3. 6.238
4. 1.25
5. 2.405
6. 3.8
Dividends of Less Than 1
1. .025
2. .019
3. .003
4. .12
5. .007
6. .03
7. .04
8. .004
9. .05
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 561
Decimals with Remainders
1. 6.25
2. 4.08
3. .965
4. 6.025
5. 3.45
6. 1.364
7. 2.785
8. .635
9. 2.325
Dividing Decimals by Decimals
1. 1.68
2. 8.52
3. 12.7
4. 3.45
5. 23.6
6. 8.79
Dividing Whole Numbers by Decimals
1. 950
2. 7.5
3. 400
4. 50
5. 35
6. 24
7. 120
8. 50
9. 40
Lesson 7
Multiplying Decimals by 10, 100, and 1,000
1. 20.5
2. 34.2
3. 796.5
4. 61.4
5. 6,182.4
6. 35.6
7. 25.87
Dividing Decimals by 10, 100, and 1,000
1. 29.07
2. .043
3. 7.832
4. .8693
5. .9564
6. 7.937
7. 3.917
Calculating Percentages
1. 75
2. 8.64
3. 31.6
4. 4.62
5. 45
6. 125
7. 11.76
Converting Decimals to Percentages
1. 700%
2. 25%
3. 75.2%
4. 240%
5. 90%
6. 35%
Simple and Compound Interest
1. $1,725
2. $75,000
3. $185,646.50
4. $32,768
Appendix: Answer Key Grade 7 Math Workbook
564 Oak Meadow
Lesson 17
Using a Calculator for Decimals
1. 241.72
2. 6.97
3. 3.22
4. 6.04
5. 0.84
6. 3.11
7. 16.50
8. 222.84
Using a Calculator to Convert Fractions to Decimals
1. 0.19
2. 0.87
3. 3.50
4. 0.17
5. 0.67
6. 5.25
Using a Calculator to Determine the Value of Exponents
1. 65,536
2. 0.008
3. 31,640,625
4. 6,859
5. 8.3521
6. 256
Using a Calculator to Find Square Roots
1. 5.9
2. 18.97
3. 9.6
4. 25
5. 16
6. 3.9
Lesson 20
Calculating the Area of a Triangle
1. 52.5 sq. meters
2. 90 sq. inches
3. 2
3
16
sq. ft.
4. 43.5 sq. meters
5. 198 sq. feet
6. 300 sq. inches
Lesson 21
Applying Formulas
1. 21.88 square inches
2. 248 square centimeters
3. 400 kilometers
4. 44.16 square inches (or 44.15 if student rounded off value of radius squared before multiplying by
pi)
5. 23.55 inches
6. 512 square feet
Transforming Formulas
1. 3.84 centimeters
2. 9.5 inches
3. 3 hours 12 minutes (3.2 hours)
4. 22 millimeters
5. 3.75 miles
Grade 7 Math Workbook Appendix: Answer Key
Oak Meadow 567
Lesson 31
Roots of Fractions
1.
3
4
2.
7
8
3.
6
7
4.
9
14
Exponents with Negative Bases
1. –216
2. +1
3. +4
4. 158
5. +241
Roots of Negative Numbers
1. –4
2. –3
3. +4
4. +22
5. +11
6. –15
Lesson 33
Scientific Notation
1. 9.438 × 10
–2
2. 2.35 × 10
5
3. 3.487 × 10
–1
4. 1.825 × 10
–6
5. 6 × 10
4
6. 6 × 10
16
Lesson 35
Grade 7 Year–end Review Practice Sheet 1
1. x = 2
2
7
2. 3
3
4
3. h = 150
4. 1
3
8
5. g = 3
1
3
6. w = 7
7. p = 30
8. c = 1
1
2
9. 10
10. F = –8
11. 10
3
4
12. c = 108
13. 3,750 men
14. 1,250 mL
15. 7.85 meters
16. 0.327 kg
Grade 7 Year–end Review Practice Sheet 2
1. Mean: 104.4 Median: 104 Mode: 104 Range: 5
2. 153 mm
3. 12.624 km
4.
1
5
5.
1
22
7. 10.2
8. – 27
9. + 20
10. – 2
11. 7
12. y = 3.2
13. m = 3
14. z = 0.05
15. p = 20
16. 50%
17. 6.25%
18. 2:1
19. 200 teachers
20. 96 frames
21. 57 sq. meters
