Free Printable Solving Equations/Inequalities

1.

$1.25\left(4x-10\right)=7.5$

Which value of x makes the equation true?

a)

3.5

b)

-1

c)

-0.5

d)

4

2.

$56=2(5a+3)$

a)

a = 5

b)

a = 0

c)

a = 6

d)

a = -4

3.

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x

a)

Add 4x to both sides of the equation

b)

Combine like terms 3x and 4x on the same side of the equation

c)

Add 3x and 6 to get 9x

d)

Add 6 and 10 to get 16

4.

$-\left(6m+8\right)=4\left(17-m\right)$

What is the solution to the equation?

(a)

5.

$34x+95=3\left(14x+9\right)$

What is the solution to the equation?

(a)

6.

$8x-3\left(2x-4\right)=3\left(x-6\right)$

What is the solution to the equation?

a)

6

b)

2

c)

30

d)

No solution

7.

$0.75\left(x+20\right)=2+0.5\left(x-2\right)$

Which value of x makes the equation true?

a)

64

b)

-64

c)

56

d)

-56

8.

$-5x-\left(-7-4x\right)=-2\left(3x-4\right)$

What value of x makes the equation true?

a)

x = 3

b)

x = 5

c)

$x\ =\ \frac{1}{3}$

d)

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

9.

$0.3\left(12x-16\right)=0.4\left(12-3x\right)$

What is the solution to the equation?

a)

-2

b)

4

c)

2

d)

-4

10.

What is the solution to the following inequality?

$3x-1\le2x+4$

a)

$x\le-1$

b)

$x\le3$

c)

$x\le5$

d)

$x\le1$

11.

Directions: Choose an inequality statement below. Use the < or > for the inequality symbol.

Solve for x.

$6x-11-13x<7-5x$

a)

$x<-9$

b)

$x>-9$

c)

$x\le-9$

d)

$x\ge-9$

12.

Which inequality represents all the solutions of the inequality below?

$8\left(2x-3\right)>4\left(x+9\right)$

a)

$x>5$

b)

$x>1$

c)

$x<5$

d)

$x<1$

13.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

14.

-2x + 7 < 19

a)

x < 6

b)

x < -6

c)

x > 6

d)

x > -6

15.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

16.

Solve:
-8(x - 3) - 4x < 108

a)

x > -38

b)

x > -14

c)

x > -7

d)

x < -38

17.

Which is a solution for equation below?

$-3\left(x+2\right)=-2\left(x-1\right)$

a)

8

b)

3

c)

-8

d)

-3

Solving Equations/Inequalities

Total questions: 17

Worksheet time: 3hrs 31mins

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