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Review of One and Two Step Equations and Word Problems

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Match the equation with the number of solutions.

16 + 6x = 2(3x + 8) ​ (a)  

15 = 7 - 3x ​ (b)  

2 + 4x - 12 = 4(x - 3) ​ (c)  

Choose from the below words

Infinite number of solutions

One Solution

No Solution

Two Solutions

Three Solutions

Four Solutions

2.

Given the equation: 14x - 12 = 3x + 5 + kx For what value of k does the equation have no solution? Just type the number. No variable in the answer.

3.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the first step of doing the distributive property.

c)

The mistake was made on the second step of collecting the variables.

d)

The mistake is that the final answer is x = 4, not no solution.

4.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the distributive property step on the right side.

c)

The mistake was made on combining like terms on the left side.

d)

The mistake was made on collecting the variables to the left side.

e)

The mistake was made on moving the constant to the right side.

5.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

6.

x - 8 = -5 

a)

13

b)

-13

c)

3

d)

-3

7.

Solve   7y - 4 = -11

a)

1

b)

2

c)

-1

d)

-2

8.

Solve the algebraic equation for p.

p+8 = 12

a)

4

b)

20

c)

1.5

d)

96

9.

Which value of w makes the following equation true?


w + (-6) = 81

a)

-75

b)

75

c)

87

d)

-87

10.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

11.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

12.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

13.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

14.

Solve   -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

15.

Determine the equation that could be used to solve the word problem below. Diana Prince joined a music club.  The start up fee was $10.  Each song she downloads is $0.99.  If she spent a total of $15.94, how many songs did she download?

a)

10 + 0.99m = 15.94

b)

10m + 0.99 = 15.94

c)

10/0.99m = 15.94

d)

10-0.99m = 15.94

e)

10m-0.99=15.94

16.

Determine the equation that could be used to solve the word problem below.

Tony Stark rents a bouncy house for a birthday party.  It costs $30 plus $4 per hour.  If he spends a total of $78, how many hours did he keep the bouncy house?

a)

30 - 78 = 4h

b)

30h - 4 = 78

c)

30 + 4h = 78

d)

30 - 4h = 78

e)

30h + 4 = 78

17.

Determine the value of x in the equation below.

72x−8=3x−6\frac{7}{2x-8}=\frac{3}{x-6}  

(a)  

18.

Determine the value of x in the equation below.
32=7−4x1−3x\frac{3}{2}=\frac{7-4x}{1-3x}  

(a)  

19.

Select the property she applied between each step.

Between the given and step 1​ (a)  

Between step 3 and step 4​ ​ (b)  

Between step 4 and 5​ (c)  

Choose from the below words

Distributive Property

Subtraction Property of Equality

Inverse Property of Addition

Associative Property of Addition

Identity Property of Addition

20.

What is the value of n in the equation?

34(4n−12)=−24\frac{3}{4}\left(4n-12\right)=-24

(a)