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Solving Equations

Total questions: 21

Worksheet time: 5hrs 15mins

Name
Class
Date
1.
Solve for y:
-5 - 7y = -20y + 34
a)
y = 3
b)
y = 1
c)
y = 0.67
d)
y = 46
2.
7(2x - 4) = 42
a)
x= 5
b)
x= 8
c)
x= 2
d)
x= 9
3.
Solve the following equation.
4x + 3 = -5
a)
1/2
b)
-1/2
c)
-2
d)
2
4.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
5.
Solve for x.
a)
x = 21
b)
x = 7
c)
x = −21
d)
x = 4
6.
Solve for x:
19.2 x - 15 = 7.5x + 8.4
a)
x = 15.3
b)
x = 23.4
c)
x = 2
d)
x = 0
7.
Solve 2x - 3 = 1 
a)
3
b)
2
c)
1
d)
-2
8.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
9.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
10.
What is the first step to solve this equation:
-11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
11.
Solve for x.
a)
x = −11
b)
x = 3
c)
x = 11
d)
x = −5
12.
a)
7
b)
-16
c)
4
d)
-15
13.
a)

8

b)

-8

c)

32

d)

12

14.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
15.
What operation would you perform first and then second when solving for m in the following equation?
10 + 7m = 17
a)
subtract 10, divide by 7
b)
divide by 7, subtract 10
c)
multiply by 7, add 10
d)
add 10, multiply by 7
16.
Each month Kaden's phone company charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?
a)
120
b)
100
c)
350
d)
600
17.
At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25 per letter. Write an equation for how many letters the costs will be the same.
a)
12.50 + 0.40 = 14.75 + 0.25
b)
12.50x + 0.40 = 14.75x + 0.25
c)
12.50 + 0.40x = 14.75 + 0.25x
d)
0.40x - 12.50 = 0.25x - 14.75
18.
Sophie has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket.  How many weeks will it take Sophie to save money for a new jacket?
a)
11 weeks
b)
10 weeks
c)
12 weeks
d)
13 weeks
19.
What is the inverse operation needed to solve for p?
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
20.
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same? Write an equation.
a)
7p +0.20 = 5p + 0.30
b)
0.20p + 7 = 0.30p + 5
c)
7 - 0.20p = 5 - 0.30p
d)
0.20p - 7 = 0.30p - 5
21.
UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Use your equation to find out how many pounds it will take for UPS and FedEx to cost the same.
a)
15 pounds
b)
20 pounds
c)
120 pounds
d)
4 pounds