Free Printable Understanding Linear Equations and Inequalities

1.

Given the graph of a linear inequality on a number line showing $x < -3$ , which of the following is an equivalent representation?

a)

$-3 < x$

b)

$x > -3$

c)

$-3 > x$

d)

$x \leq -3$

2.

Which of the following verbal situations can be represented by the equation $x + 5 = 12$ ?

a)

A number decreased by 5 is 12.

b)

A number increased by 5 is 12.

c)

A number multiplied by 5 is 12.

d)

A number divided by 5 is 12.

3.

Write a one-step linear equation for the following situation: "Seven more than a number is 15."

a)

$x - 7 = 15$

b)

$x + 7 = 15$

c)

$7x = 15$

d)

$x / 7 = 15$

4.

If $x = 4$ , confirm the solution to the equation $x - 3 = 1$ using algebra tiles.

a)

The equation is balanced with 4 tiles on one side and 1 tile on the other.

b)

The equation is balanced with 4 tiles on one side and 3 tiles on the other.

c)

The equation is balanced with 1 tile on one side and 1 tile on the other.

d)

The equation is balanced with 4 tiles on one side and 4 tiles on the other.

5.

Solve the equation $x + 9 = 14$ using properties of equality.

a)

$x = 5$

b)

$x = 23$

c)

$x = 14$

d)

$x = 9$

6.

Which of the following inequalities is equivalent to $x \geq 7$ ?

a)

$7 \leq x$

b)

$x > 7$

c)

$x < 7$

d)

$7 > x$

7.

Create a verbal situation for the equation $x - 4 = 10$ .

a)

A number decreased by 4 is 10.

b)

A number increased by 4 is 10.

c)

A number multiplied by 4 is 10.

d)

A number divided by 4 is 10.

8.

Write a one-step linear equation for the situation: "The product of a number and 6 is 18."

a)

$x + 6 = 18$

b)

$x - 6 = 18$

c)

$6x = 18$

d)

$x / 6 = 18$

9.

Confirm the solution to the equation $x / 2 = 3$ using a balance scale.

a)

The scale is balanced with 3 weights on one side and 2 weights on the other.

b)

The scale is balanced with 6 weights on one side and 3 weights on the other.

c)

The scale is balanced with 3 weights on one side and 3 weights on the other.

d)

The scale is balanced with 6 weights on one side and 6 weights on the other.

10.

Solve the equation $x - 7 = 2$ using properties of equality.

a)

$x = 5$

b)

$x = 9$

c)

$x = 2$

d)

$x = 7$

11.

Which of the following inequalities is equivalent to $x \leq -2$ ?

a)

$-2 \geq x$

b)

$x > -2$

c)

$x < -2$

d)

$-2 < x$

12.

Create a verbal situation for the equation $x / 5 = 8$ .

a)

A number divided by 5 is 8.

b)

A number multiplied by 5 is 8.

c)

A number increased by 5 is 8.

d)

A number decreased by 5 is 8.

13.

Write a one-step linear equation for the situation: "The quotient of a number and 4 is 3."

a)

$x + 4 = 3$

b)

$x - 4 = 3$

c)

$4x = 3$

d)

$x / 4 = 3$

14.

Confirm the solution to the equation $x + 3 = 7$ using colored chips.

a)

The equation is balanced with 4 chips on one side and 3 chips on the other.

b)

The equation is balanced with 7 chips on one side and 7 chips on the other.

c)

The equation is balanced with 3 chips on one side and 3 chips on the other.

d)

The equation is balanced with 7 chips on one side and 4 chips on the other.

15.

Solve the equation $x / 3 = 5$ using properties of equality.

a)

$x = 15$

b)

$x = 8$

c)

$x = 5$

d)

$x = 3$

16.

Solve. 𝑥 + 32.6 = 46

a)

𝑥 = 13.4

b)

𝑥 = 40.4

c)

𝑥 = 8.2

d)

𝑥 = 72.6

17.

A box contains 48 snickers bars. The price of the box is $52.25. Each snickers bars cost the same amount. Which could be used to finds, the price of one snickers bar?

a)

s + 48 = 52.25

b)

s / 48 = 52.25

c)

𝑠 − 48 = 52.25

d)

48s = 52.25

18.

What value of y makes the number sentence shown true?
y - 64 = 110

a)

150

b)

46

c)

164

d)

174

19.

What value of t makes the following sentence true?
2t = 20

a)

8

b)

10

c)

40

d)

15

20.

For which equation is x = 5 a solution?

a)

2 + x = 3

b)

3x = 15

c)

x - 7 = 12

21.

Which of the following is an equation?

a)

9 - 2

b)

7 + y

c)

y $\div$ 9 = 3

22.

Which is the solution to the equation below?

9 = n + 3

a)

3

b)

6

c)

12

d)

27

23.

Which is the solution to the equation below?
$32=\frac{q}{2}$

a)

16

b)

30

c)

46

d)

64

24.

What is the solution to the inequality below?

2x < 4

a)

x < 2

b)

x > 8

c)

x < 6

25.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

26.

What what is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

27.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

28.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

29.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

30.

What is the correct step to solve for the variable?
15 = m - 5

a)

add 15 to both sides

b)

add 5 to both sides

c)

subtract 15 from both sides

d)

subtract 5 from both sides

Understanding Linear Equations and Inequalities

Total questions: 30

Worksheet time: 3615secs

Similar Resources on Wayground