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Worksheets

Solving Linear Equations

Total questions: 20

Worksheet time: 43mins

Name
Class
Date
1.

Solve the following equation,

x + 4 = 25

a)

x = 29

b)

x = 100

c)

x = 5

d)

x = 21

2.

Which operation will undo subtraction?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

3.

The second step in solving the equation 2x - 3 = -15 is to . . .

a)

divide by 2 on both sides of the equation

b)

multiply by 2 on both sides of the equation

c)

subtract 3 on both sides of the equation

d)

add 3 on both sides of the equation

4.

Solve the following equation,

5x = -30

a)

x = 6

b)

x = 150

c)

x = -6

d)

x = -150

5.

In the equation 3x + 8=23, the number 3 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

6.

In the equation 3x + 8=23, the number 8 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

7.

In the equation 2x-5=27, which of the following is the variable?

a)

2

b)

x

c)

-5

d)

27

8.

What is the solution of the equation -2x-5=17?

a)

x = 11

b)

x = 6

c)

x = -6

d)

x = -11

9.

In solving the equation 2x-5=27, what step to do first?

a)

divide 2 on both sides of the equation

b)

add 5 on both sides of the equation

c)

multiply 2 on both sides of the equation

d)

subtract 5 on both sides of the equation

10.

What is the value of a in the equation 3a-7=17?

a)

a = 6

b)

a = 8

c)

a = -8

d)

a = 103\frac{10}{3}

11.

In the equation 3x + 7 = -11, after you subtract 7 on both sides of the equation, what will be the value of x?

a)

x= -6

b)

x=6

c)

x= 43\frac{4}{3}

d)

x= 43-\frac{4}{3}

12.

Solve for x:

4x + 1 = 7x - 5

a)

x=1x=-1

b)

x=2x=2

c)

x=611x=\frac{6}{11}

d)

x=8x=8

13.

What is the algebraic form of

two more than thrice a number x is fourteen?

a)

3x+2=14

b)

2+3x>14

c)

2+3x=14

d)

3x-2=14

14.

What is the opposite operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

15.

Solve for the value of x :

3(5x + 1) = 48

a)

x = 4715x\ =\ \frac{47}{15}

b)

x=47x=47

c)

x=51x=51

d)

x=3x=3

16.

Solve:

2(2x + 3) = -6(x + 9)

a)

x=1.2x=1.2

b)

x=6x=6

c)

x=6x=-6

d)

x=7.5x=7.5

17.

What property will be applied first in solving 4m-1=15?

a)

addition property of equality

b)

multiplication property of equality

c)

distributive property

d)

additive identity property

18.

What type of solution will have in the linear equation

8x + 4 = 4(2x + 1)?

a)

no solution

b)

one solution

c)

infinite solutions

19.

The perimeter of the square garden is 48m2 , if the side is 3x+2. What linear equation can be formed?

a)

4(3x+2) = 48

b)

(3x+2)(3x+2) = 48

c)

2(3x+2) = 48

20.

Gary solved the equation as shown in the picture. Which correctly describes the error that Gary made in his work?

a)

he did not combine 7x and 8x correctly

b)

he did not divide correctly

c)

he did not combine -3 and -9 correctly

d)

he did not make an error in his work