Free Printable 7th Grade Math Review

Worksheets

7th Grade Math Review

Total questions: 30

Worksheet time: 1hrs 5mins

Name

Class

Date

The class has 12 girls and 16 boys. What is the ratio of total students to boys? (simplest form)

$\frac{28}{16}$

$\frac{7}{4}$

$\frac{16}{28}$

$\frac{12}{16}$

$\frac{5}{6}\ x\ \frac{1}{2}\ =$

$\frac{5}{6}$

$\frac{6}{12}$

$\frac{5}{12}$

$\frac{1}{2}$

Simplfy.
$\left(2\right)\left(18\right)\div\left(-2+5\right)\left(-1\right)$

-13

-12

A football team loses 5 yards on each of 3 consecutive plays. What signed number represents the team's total loss of yards on the 3 plays?

5 (-3) = 15

(5) 3 = 15

-5 (-3) = -15

-5 (3) = -15

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375.

By how much did the amount in her bank account change during that week?

59 increase

59 decrease

691 increase

691 decrease

Consider the expression 6r - r + 8(15 - r) + 23 - 6.

Is -3r + 137 equivalent to the given expression?

It is equivalent.

It is not equivalent.

An inequality is shown: 2x - 2 < 4.

What values of x make the inequality true?

x > 3

x < 3

x < 1

x > 1

Which expression is equivalent to -7(y - 2)

-7y - 2

-7y + 2

-7y - 14

-7y + 14

A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards.

This equation represents the situation:

6(x + 18) = 192

What does the variable x represent in Jarred's equation?

the number of screws in one kit

the number of screws in all 6 kits

the number of boards in one kit

the number of boards in all 6 kits

10.

Julie works Sunday, Monday, and Wednesday for 10 hours each day. On Tuesday, Thursday, and Friday, she works 7 hours each day. She does not work on Saturday. Her weekly total earnings are $612.

What is Julie's hourly rate of pay in dollars?

$11

$10

$15

$12

11.

The sum of a number, n, and 8 is multiplied by -4 and the result is -12. What is the number?

n = -5

n = 1

n = 5

n = 11

12.

Consider the graph.

What does point A represent on this graph?

4 web visits per 12 downloads

The rate of change

4 downloads per 12 web visits

The slope of the line

13.

Michelle makes bracelets at a rate that is proportional to the number of hours she has worked.

Which table could represent how many total bracelets, y, Michelle can make after working x hours?

14.

The points on the coordinate grid represent the costs for the different numbers of peaches.

Select the two best statements that are true about the graph.

There is a proportional relationship between the number of peaches and the cost because a line can be drawn passing through the origin and connecting all the points shown.

There is a proportional relationship between the number of peaches and the cost because the x-value is always greater than the y-value.

The point (1, 0.75) can be used to represent the unit rate of 0.75 dollars per peach.

The point (1, 0.75) can be used to determine the total cost by subtracting 0.25 from the number of peaches.

The point (4,3) represents the cost of $4 for 3 peaches.

15.

Solve the following equation:
9.331 - (-4.71) = ?

14.041

4.621

13.402

4.602

16.

Solve the following equation:
-13.4 - (-1.784) = ?

11.616

15.184

-11.616

-15.184

17.

Which of the following will always result in an answer greater than 1?

multiplying a whole number by a negative fraction that is less than -1

multiplying two positive fractions that are both less than 1

multiplying two negative fractions that are both greater than -1

multiplying two negative fractions that are both less than -1

18.

What is the result of subtracting a number greater than -3 and less than -2 from a number greater than 1 and less than 6?

a number greater than 3

a number greater than 4

a number less than 3

a number less than 4

19.

Which of these expressions has the greatest value?

-3 - -6

-3 x -6

-3 + -6

-3 ÷ -6

20.

Which of the following is an expression?

6x + 2x = 6

10 = 5x

2x + 6x - 10

6x² + 10 = 25

21.

Which of the following is a unit rate

56 miles in 2 minutes

$4.59 for 3 pounds

$10 per student

$30 for 15 minutes

22.

Solve for x

x = 98/5

x = 5/98

x = 101/5

23.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

15 pizzas

252 sticks

18 sticks

18 pizzas

24.

Find missing side

25.

The distance across a circle is...

radius

diameter

circumference

area

26.

Congruent means

double or twice

added together

same or equal

27.

A drawing of a shape that is proportional to another is called:

Scale Drawing

Angle

Degree

Polygon

28.

Change this improper fraction into a mixed number: $\frac{47}{5}$

9 ⅖

8 7/5

9 ⅕

8 ⅚

29.

Change this improper fraction into a mixed number: $\frac{14}{3}$

12 ⅓

4 ⅔

4 ⅓

30.

Solve the following equation. Make sure to simplify into a mixed number! $\frac{28}{6}+\frac{9}{4}\ =\ ?$

$\frac{83}{12}$

$7\ \frac{1}{12}$

$7\ \frac{5}{24}$

$6\ \frac{11}{12}$

100 %

7th Grade Math Review

Total questions: 30

Worksheet time: 1hrs 5mins

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