Free Printable Mixed Math 7 Practice #2: Expressions, Equations, Inequalities

1.

$3\left(x+2\right)$ is shown visually with an envelope and 2 dollar bills.
Which visual representations shows "3 groups of x + 2?"

a)

b)

c)

2.

The expression shown simplifies to...

a)

b)

c)

d)

3.

What does

2\left(y+6\right)

mean?

a)

"2 groups of y + 6"

b)

"2 plus y + 6"

c)

"y + 6 times y + 6"

d)

"2 divided by y + 6"

4.

Which of the following is equivalent to

3\left(5x+1\right)

?

a)

5x + 1
5x + 1
5x + 1

b)

5x + 1
5x + 1

c)

5x + 5x + 5x + 1

5.

Which of the following shows the correct set up for the area model for the expression below?

9\left(4n+2\right)

a)

b)

c)

6.

Which of the following shows the correct math for the area model for the expression below?

11\left(5w+z\right)

a)

b)

c)

7.

Simplify:

3\left(10m-1\right)

a)

$30m-1$

b)

$30m+1$

c)

$30m-3$

d)

$30m+3$

8.

Simplify:

5\left(x^2+7x+12\right)

a)

$5x^2+35x+12$

b)

$5x^2+35x+60$

c)

$5x^2+7x+12$

d)

$5x^2+12x+17$

9.

Simplify.

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

10.

Simplify.

19 + (3 + 5b)

a)

22 + 5b

b)

19 + (3 + 5b)

c)

19 + 8b

d)

22 + 24b

11.

Simplify.

9a + 10(2a + 1)

a)

21a + 1

b)

9a +21

c)

29a +10

d)

39a

e)

29a + 1

12.

Solve the equation:

x - 5.5 = -10.5

a)

x = 16

b)

x = -15

c)

x = 5

d)

x = -5

13.

Solve.

3.1d=18.6

a)

d= 0.17

b)

d= 57.66

c)

d= 0.6

d)

d= 6

14.

Which equation has
x = 9 as a solution?

a)

4 + x = 12

b)

5x = 45

c)

2x = 20

d)

x + 7 = 26

15.

What should you do to isolate x?
$11x=44$

a)

Divide by 11 on both sides.

b)

Subtract 11 on both sides.

c)

Subtract 44 on both sides.

d)

Divide by 44 on both sides.

e)

Multiply by 11 on both sides.

16.

What should you do to isolate x?
$24=-61+x$

a)

Subtract 61 on both sides.

b)

Subtract 24 on both sides

c)

Add 24 on both sides.

d)

Add 61 to both sides.

e)

Divide by 61 on both sides.

17.

What should you do to isolate x?
$\frac{x}{10}=7$

a)

Divide by 10 on both sides.

b)

Multiply by 10 on both sides.

c)

Subtract 10 on both sides

d)

Divide by 7 on both sides.

e)

Subtract 7 on both sides.

18.

What should you do to isolate n?

$4n=-32$

a)

Divide by 4 on both sides.

b)

Multiply by 4 on both sides.

c)

Subtract 4 on both sides

d)

Add 32 on both sides.

e)

Subtract 32 on both sides.

19.

$44=\frac{n}{-2}$

What should happen to both sides of the equation to isolate n?

a)

Multiply by -2

b)

Add 2

c)

Subtract 44

d)

Multiply by +2

e)

Divide by 2

20.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

21.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

22.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

23.

What is the inverse operation of division?

a)

addition

b)

subtraction

c)

multiplication

d)

division

24.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

25.

When graphing an inequality, you use an open dot when you use which symbols?

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

26.

What inequality does the number line graph represent?

a)

4 < x

b)

x > 4

c)

x < 4

d)

x ≤ 4

27.

Which graph matches the inequality
x ≥ 2.5?

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

30.

Which operation should you perform first in the expression

-4+3^3\div5

a)

exponent

b)

division

c)

addition

d)

subtraction

31.

23+(30÷10)x4

a)

35

b)

32

c)

12

d)

45

32.

18 − 4 × 2 =

a)

28

b)

16

c)

10

d)

12

33.

$8+7\cdot\left(4-3\right)$

a)

14

b)

30

c)

33

d)

15

34.

$15+3\cdot7-9$

(a)

35.

Solve for the value of k.

k + $\frac{1}{2}$ = $\frac{1}{2}$

a)

1

b)

0

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

Mixed Math 7 Practice #2: Expressions, Equations, Inequalities

Total questions: 35

Worksheet time: 2hrs 4mins

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