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Solving Equations and Expressions

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

Silvio made a mistake solving the equation 4x=84. Which step shows Silvio's mistake?

Step1:        4x=84

            Step 2:     4x4=84⋅4\frac{4x}{4}=84\cdot4  


Step 3:   x=336

a)

Step 1

b)

Step 2

c)

Step 3

2.

Alice Lost 4 pounds last week. Her new weight is 106 pounds. Select all the statements that are TRUE.

a)

The equation x-4=106 represents this situation.

b)

Alice's original weight can be found using division.

c)

Alice's original weight was 110 pounds.

3.

Wendell is trying to solve the equation 4.23= t+2.8. What step should Wendell perform FIRST?

a)

Subtract 2.8 from 4.23

b)

Add 2.8 to 4.23

c)

Subtract 4.23 from 2.8

d)

Multiply 4.23 by 2.8

4.

Carlos collected tickets to concerts he attended. This year he attended 6 concerts, he has now been to 20 concerts. If t equals of concerts he has been to before this year. Which expression represents the situation?

a)

t = 20+6

b)

t = 20-6

c)

6 = t +20

d)

20 = t +6

5.

Lucy purchased 4 equally-priced shirts for $48. Frank bought 3 shirts. Each of his shirts were $2 more than the price of a shirt Lucy purchased. How much did frank spend on his entire purchase?

a)

Lucy = $48/4=$12 per shirt

b)

Frank=12+2=$14 per shirt

c)

14 * 3= $42 total

6.

Create an equation from the scenario and solve.

The product of 12 and x is forty-eight

4 lines
7.

True or False
 w3=11⋅3\frac{w}{3}=11\cdot3  
 w=33w=33  

a)

True

b)

False

8.

TRUE or FALSE

6x=24

 6x6=246\frac{6x}{6}=\frac{24}{6}  

 x = 4x\ =\ 4  

a)

True

b)

False

9.

Kyle is 18 years older than his daughter Hannah. Kyle is 42 years old. How old is Hannah

a)

60

b)

18

c)

24

d)

36

10.

TRUE or FALSE:



 y + 9 = 17y\ +\ 9\ =\ 17  


     y = 12

a)

True

b)

False

11.

Twenty less than w is 3. What is the value of w?

a)

17

b)

60

c)

7

d)

23

12.

What is the solution of the equation below?

m-23.2 = 54.5

a)

m = 31.3

b)

m = 34.3

c)

m = 77.7

d)

m = 34.7

13.

Select the equations where y = 2, is the solution. Select all that apply.

a)

y - 1 = 3

b)

y2\frac{y}{2} =1=1

c)

15 - y = 13

d)

y2\frac{y}{2} = 0

e)

y + 5 = 7

14.

Which of the following is the solution to the equation x - 8 = 19

a)

11

b)

27

c)

26

d)

152

15.

TRUE or FALSE: 2 is the solution for

 y6=12\frac{y}{6}=12  


a)

True

b)

False