Free Printable Linear Equations Review (Test C)

1.

Simplify an expression for the perimeter of the equilateral triangle shown.

Write the variable term first; no spaces in the expression.

(a)

2.

Which of the following expressions has a simplified value of 3b + 7?

a)

-6b + 9b + 4 – 3

b)

-b + 4 + 5b – b – 3

c)

-5 + 3b + 12 + b

d)

-6 – 2b + 13 + 5b

3.

Which is the correct simplified version of the expression shown after distributing and combining like terms?

$-\frac{1}{4}\left(8x-24\right)+4x$

a)

6x + 6

b)

2x + 6

c)

-8x – 6

d)

6x – 6

4.

Simplify the expression by distributing and combining like terms.

-4 + 0.7(-2x + 13) + 9.3x

Write the variable term first; do not use any spaces.

(a)

5.

Which is the correct first step to solve the linear equation shown?

16 = 22 – 3.5x

a)

Subtract 22 from both sides

b)

Divide -3.5 from both sides

c)

Add -3.5 to both sides

d)

Subtract 16 from both sides

6.

Solve the equation below.

$\frac{x}{-1.6}-3=22$

Write "x=_"

(a)

7.

Rahul solved the equation as shown below. Which describes the error that Rahul made in his work?

a)

Rahul did not combine -2x and 6x correctly.

b)

Rahul did not combine 7 and -3 correctly.

c)

Rahul did not move the 4 correctly.

d)

Rahul did not make an error in his work.

8.

Solve the equation below.

46 = -3 + 8x + 13 + x

(a)

9.

Which of the following shows the equation after both sides have been distributed correctly?

-2(x – 3) = 4(6x – 2)

a)

-2x + 6 = 24x – 8

b)

-2x – 5 = 24x – 3

c)

-2x – 6 = 24x – 8

d)

-2x + 6 = 24x + 8

10.

The perimeter of the rectangle below is 64 inches. Find the value of x.

(a)

11.

Solve the equation below.

-6x – 2(3x + 4) = 76

(a)

12.

If the area of the rectangle shown is 60 square inches, which equation could be used to find the value of x?

a)

$25\frac{1}{3}x+26=60$

b)

$1\frac{1}{3}x+26=60$

c)

$8x+12=60$

d)

$\frac{2}{3}x+13=60$

13.

Which is the correct solution to the equation shown?

0.6(2x – 7) + 0.3x = 9.3

a)

x = -3.4

b)

x = 11

c)

x = 11.8

d)

x = 9

14.

Solve the equation below.

$\frac{1}{9}(x+27)=-4x-31+6x$

(a)

15.

Amy’s car has 22 gallons of gas and uses $\frac{1}{23}$ of a gallon for each mile driven. Ben’s car has 16 gallons of gas and uses $\frac{1}{28}$ of a gallon for each mile driven. Which of the following equations could be used to determine x, the number of miles they can drive before they have the same amount of gas remaining in their tank?

a)

$22+\frac{1}{23}x=16+\frac{1}{28}x$

b)

$22+\frac{1}{23}x=16-\frac{1}{28}x$

c)

$22x-\frac{1}{23}=16x-\frac{1}{28}$

d)

$22-\frac{1}{23}x=16-\frac{1}{28}x$

16.

Which of the following equations would have exactly one solution?

a)

11x + 4 = 4 + 11x

b)

-2 – 4x = 4x – 2

c)

4(3x – 2) = 12x + 8

d)

2(-3x + 6) = -6x – 12

17.

Solve the equation below.

-5 – 0.1x + 17 = -1.1x + 21

(a)

18.

When solving an equation, Jacob gets to the last line of his work and is left with “8 = 4”. What does this mean?

a)

There is no solution.

b)

There are infinite solutions.

c)

The solution is $\frac{1}{2}$ .

d)

There is only one solution.

19.

Write and solve an equation that matches the description below:

**no spaces**

“14 less than twice a number is

the same as 70 more than

the product of 6 and the number”

(a)

20.

A new app offers digital book downloads for $9.50 each. Customers have the option to subscribe for an annual fee of $76, and subscribers only pay $4.75 for each book download.

Write and solve an equation to find the number of books a customer would have to download in a year for the two options to be equal.

*Write the equation on your own, and type the solution here on Quizizz.

(a)

Linear Equations Review (Test C)

Total questions: 20

Worksheet time: 3600secs

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