WorksheetsSolving Equations19
Total questions: 45
Worksheet time: 55mins
Name
Class
Date
1.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
2.
Translate:
Twelve less than a number
Twelve less than a number
a)
12 - x
b)
x - 12
c)
12x
d)
x + 12
3.
Translate:
Four times a number plus six IS 30.
Four times a number plus six IS 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
4.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
5.
Solve. -4n = 22
a)
-5.2
b)
-5.5
c)
-2/11
d)
2/11
6.
Solve. n - (-2) = -14
a)
-16
b)
16
c)
12
d)
-12
7.
Solve. -13 = n + 18
a)
5
b)
-5
c)
-21
d)
-31
8.
a - 27 = 41
a)
a = 68
b)
a = -41/27
c)
a = -1107
d)
a = 14
9.
x/8 = 5
a)
30
b)
35
c)
40
d)
45
10.
Solve the equation:
20.5 = x + 4
a)
16.5
b)
16.05
c)
24.5
d)
24.05
11.
x + 12 = 20
a)
x = 32
b)
x = -32
c)
x = 8
d)
x = -8
12.
What is the inverse operation needed to solve for p?
765 = p - 254
765 = p - 254
a)
subtraction
b)
addition
c)
multiplication
d)
division
13.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side.
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
14.
What does 3x mean?
a)
A. Three times X
b)
B. Three divided by X
c)
C. Three and X
15.
Which operation will cancel out multiplication?
a)
A. Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
16.
Translate the sentence into an equation:
Four more than six times a number is 18.
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
17.
Solve the equation
a)
d = 3
b)
d = 7
c)
d = -7
d)
d = -3
18.
Solve the equation
a)
x = 4
b)
x = -4
c)
x = 2
d)
x = -2
19.
Solve the equation
a)
k = 18
b)
k = 4
c)
k = 5
d)
k = -18
20.
Solve the equation
a)
m = 7⁄30
b)
m = 13⁄30
c)
m = 3⁄6
d)
m = 3⁄11
21.
y + 6 = 20
a)
y = 22
b)
y = 13
c)
y = 14
d)
y = 16
22.
x - 10 = 12
a)
22
b)
-22
c)
2
d)
-2
23.
12 + z = 15
a)
-3
b)
3
c)
-27
d)
27
24.
What is the solution of 3w = 30
a)
6
b)
9
c)
10
d)
12
25.
What is the solution of 6d = 24
a)
4
b)
5
c)
18
d)
144
26.
What is the solution of 13 = t + 7
a)
5
b)
6
c)
7
d)
20
27.
Which equation has x=9 as a solution
a)
4 + x = 12
b)
5x = 45
c)
2x = 20
d)
x + 7 = 26
28.
solve 14.35 = 4.1x
a)
x = 3.5
b)
x = 3.8
c)
x = 4
d)
x = 58.83
29.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
30.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
31.
y/3=12
a)
36
b)
-36
c)
4
d)
-4
32.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
33.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
34.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
35.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
4 hours
b)
5 hours
c)
6 hours
d)
7 hours
36.
A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.
a)
c/7 - 4 = 8
b)
c/4 + 7 = 8
c)
4/c - 7 = 8
d)
c/4 - 7 = 8
37.
The area of a rectangular deck is 125 square feet. The width of the deck is 25 feet. Write an equation and solve to find the length.
a)
25x=125,
x = 5 feet
x = 5 feet
b)
x+22=125,
x = 20 feet
x = 20 feet
c)
x-25=125
x=150 feet
x=150 feet
d)
25x=125
x=3,125 feet
x=3,125 feet
38.
Choose the correct equation for the situation.
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
Jane is 3 years older than Sam. If Jane 12, how old is Sam?
a)
j - 3 = 12
b)
s - 3 = 12
c)
s + 3 = 12
d)
j + 12 = 3
39.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
40.
Is the solution to x+3=5 greater than, less than, or equal to 5?
a)
Greater than
b)
Less than
c)
Equal to
d)
All of the above
41.
18+m=8
a)
m=0
b)
m=10
c)
m=-10
d)
m=8
42.
Translate 4 more than x equals 7 into an equation and solve.
a)
x+4=7
x = 11
x = 11
b)
x+4=7
x = 3
x = 3
c)
x-4=7
x = 11
x = 11
d)
x-4=7
x=3
x=3
43.
Choose the equation.
a)
-9
b)
3 + 7
c)
4y
d)
4y = 20
44.
-4y = 48
a)
y = -52
b)
y = -44
c)
y = 12
d)
y = -12
45.
Solve for y:
y + 51 = -99
a)
y = -44
b)
y = 150
c)
y = -150
d)
Answer not Given
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