Free Printable Equations and Inequalities Review

1.

What equation does this balance represent?

a)

3x + 6 = 9

b)

-3x - 6 = -9

c)

6x + 3 = 9x

d)

x + 1 = 1

2.

What equation can be used to find x?

a)

48 + 2x = 180

b)

48 + x = 180

c)

48x - 2 = 180

d)

180x - 48x = 2

3.

Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. There is a $50 one-time fee the store has to pay in order to keep this brand in stock. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

a)

5.50x - 50 ≥ 5225

b)

5.50 - 50x ≥ 5225

c)

5.50x > 5225

d)

5.50x < 5225

4.

What inequality is graphed on this number line?

a)

y > -9.5

b)

f < -9.5

c)

r ≥ -9.5

d)

x ≤ -9.5

5.

$\frac{144}{12}$ Simplify completely

a)

$\frac{12}{1}$

b)

$\frac{72}{6}$

c)

$\frac{48}{4}$

d)

$\frac{36}{3}$

6.

$\frac{500}{15}$ Simplify completely

a)

$\frac{100}{3}$

b)

$\frac{167}{5}$

c)

$\frac{50}{1}$

d)

$\frac{5}{3}$

7.

$4232\div8$

a)

529

b)

1,058

c)

0.002

d)

33,856

8.

$6\ \frac{1}{6}$ Convert to an improper fraction

a)

$\frac{37}{6}$

b)

$\frac{37}{36}$

c)

$\frac{7}{6}$

d)

$\frac{13}{36}$

9.

$3\ \frac{1}{3\ }\times\frac{4}{7}$

a)

$\frac{40}{21}$

b)

$\frac{35}{6}$

c)

$\frac{4}{21}$

d)

$\frac{9}{10}$

10.

What equation can be used to solve for x?

a)

3x + 60 = 180

b)

x - 10 = 180

c)

3x + 60 = 90

d)

x - 10 = 90

11.

What does x = ?

a)

40 degrees

b)

170 degrees

c)

60 degrees

d)

10 degrees

12.

What is the measure of angle C?

a)

65 degrees

b)

50 degrees

c)

90 degrees

d)

45 degrees

13.

If you see ≤ or ≥ in an inequality, it will have a(n) _______ circle on a number line.

a)

open

b)

closed

14.

If you see > or < in an inequality, it will have a(n) _______ circle on a number line.

a)

open

b)

closed

15.

If I plot x > 5 on a number line, my arrow will go to the

a)

left

b)

right

16.

If I plot x < 0.4 on a number line, my arrow will go to the

a)

left

b)

right

17.

6x = 36

What does x = ?

a)

x = 6

b)

x = 30

c)

x = 42

d)

x = 4

18.

8 = 3a - 4

a)

4 = a

b)

4/3 = a

c)

3 = a

d)

8 = a

19.

3-5x ≤18

a)

x ≤ 3

b)

x ≤ -3

c)

x ≥ 3

d)

x ≥ -3

20.

When do we flip our inequality sign?

a)

When you multiply or divide by a negative ONLY.

b)

When you add or subtract a negative ONLY.

c)

When you multiply or divide by a positive ONLY.

d)

When you add or subtract by a positive ONLY.

21.

$50\div\frac{8}{5}$

a)

$\frac{125}{4}$

b)

$\frac{80}{1}$

c)

$\frac{25}{3}$

d)

$\frac{16}{23}$

22.

$\frac{8}{9}-\frac{5}{18}$

a)

$\frac{1}{3}$

b)

$\frac{11}{18}$

c)

$\frac{4}{9}$

d)

$\frac{13}{18}$

23.

The sum of the measures of angle B and angle C is 180 degrees.

Angle B is 2x+10.

Angle C is 45 degrees.

What is the value of x?

a)

x = 62.5 degrees

b)

x = 42.4 degrees

c)

x = -62.5 degrees

d)

x = -42.4 degrees

24.

3x = 144

a)

x = 48

b)

x = 432

c)

x = 147

d)

x = 141

25.

4x + 10 < 2

a)

x < -2

b)

x > -2

c)

x < 2

d)

x > 2

26.

Combine like terms:

3x + 2y + 4x + 3 + y - 3

a)

7x + 3y

b)

7x + 3y + 6

c)

x + y + 3

d)

2x + 3y - 3

27.

14y + 3 + 2y = 35

a)

y = 2

b)

y = 2.5

c)

y = 16

d)

y = 16.2

28.

4.2x + 7

x = 13

a)

x = 61.6

b)

x = 39.5

c)

x = 50

d)

x - 13.33

29.

$\frac{x}{3}-15\ =\ 2\$

a)

x = 51

b)

x = 7

c)

x = 45

d)

x = 31

30.

$11.2\left(f\right)\ +\ 3.1$
f = 4

a)

= 47.9

b)

= 49.7

c)

= 94.7

d)

= 97.4

Equations and Inequalities Review

Total questions: 30

Worksheet time: 15mins

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