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Worksheets

Expressions and Equations Review

Total questions: 15

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

5(2x - 7) = 80


* work is required

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

2.

After paying $8.24 for a sandwich, Amanda has $7.71. With how much money did she start?


Which expression represents this situation and has the correct answer?


*work is required

a)

x - 8.24 = 7.71 ; x = 17.55

b)

8.24 - x = 7.71 ; x = 0.53

c)

x - 8.24 = 7.71 ; x = 15.95

d)

x - 7.71 = 8.25 ; x = 15.96

3.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

a)

40x + 20 = 340

b)

20x + 40 = 340

c)

20x - 40 = 340

d)

20 + 340 = 40x

4.

The rental rate at Rent A Wreck is $30 plus $0.25 per mile driven.


Write an expression to represent the total cost of driving m miles and look at the units.

a)

30+0.25m30+0.25m ; $ + $ * miles

b)

30+0.25m30+0.25m ; $ + $/mile * miles

c)

0.25+30m0.25+30m ; $/mile + $ * miles

d)

0.25+30m0.25+30m ; $ + $ * miles/$

5.

After dining at your favorite restaurant, your bill arrives. As usual, the service was excellent, and the food was delicious! You leave a 20% tip. The total cost of the meal including tip was $57.06. What was the cost of the meal before the tip?

Let x = cost of meal before tip


*work is required

a)

 x+0.2x=57.06x+0.2x=57.06 ; The cost of the meal before tip was $47.55.

b)

 x+0.2=57.06x+0.2=57.06  ; The cost of the meal before tip was $56.86.

c)

 0.2x=57.060.2x=57.06  ; The cost of the meal before tip was $285.30.

d)

 57.060.2=x\frac{57.06}{0.2}=x  ; The cost of the meal before tip was $71.33.

6.

The quotient of 9 less than h and 3.

a)

h93h-\frac{9}{3}

b)

h93\frac{h-9}{3}

c)

9h3\frac{9-h}{3}

d)

9h39-\frac{h}{3}

7.

twice a number increased by five

a)

2x - 5

b)

2x + 5

c)

2(x - 5)

d)

2(x + 5)

8.

Twice the sum of a number and 5

a)

n + 5

b)

2 + 5n

c)

2n + 5

d)

2(n+5)

9.

The quotient of n and 8

a)

n + 8

b)

n - 8

c)

n x 8

d)

n / 8

10.

Solve for the value of x.

2x - 3 + 4x = 27

(a)  

11.

Solve for n:

4n - 1 = 6n + 8 - 8n + 15

(a)  

12.

97=3(6n5)897=-3\left(6n-5\right)-8  

a)

10-10  

b)

1616  

c)

5-5  

d)

2-2  

13.

Solve:

4x+3(5x+10)=36-4x+3\left(5x+10\right)=-36  

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

14.
Joe's BBQ sells BBQ by the pound.  Michelle buys $8.75 worth of sides and then 6 pounds of barbeque.  If her total bill was $40.55, how much was each pound of barbeque?
a)
$5.30
b)
$3.95
c)
$8.22
d)
$5.32
15.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290