WorksheetsMulti Step Equations and Special Cases
Total questions: 29
Worksheet time: 30mins
Name
Class
Date
1.
2x - 3 + 4x = 27
a)
x= 12
b)
x = 4
c)
x = 5
d)
x = 15
2.
Which choice describes the step needed to isolate the variable? (Tap outside of the gray box to see the equation.)
a)
Divide both sides by 11
b)
Multiply both sides by 11.
c)
Add 11 to both sides.
d)
Subtract 11 to both sides.
3.
Solve the equation:
20.) 5 = 4 - x
20.) 5 = 4 - x
a)
x= 1
b)
x = -1
c)
x = 2
d)
x = -24.5
4.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
5.
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
6.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
7.
Solve for x.
a)
55
b)
60
c)
15
d)
35
8.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
9.
9c-3c=48
a)
c=9
b)
c=3
c)
c=4
d)
c=8
10.
10(h+1) - 4 = 76
a)
h=10
b)
h=4
c)
h=7
d)
h=76
e)
h=-6
11.
12 +5w - 4w = 15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
e)
w=-4
12.
3y + 6 + 4y - 7 = -8
Combine like terms then solve
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
e)
y=10
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
16.
What is the first step to complete when solving this equation?
10 - 3y = 4
10 - 3y = 4
a)
Add 10
b)
Subtract 10
c)
Add 3
d)
Divide by -3
17.
Translate into an expression:
Two more than three times x
Two more than three times x
a)
3x-2
b)
2>3x
c)
2+3x
d)
2(3x)
18.
Translate into an expression:
4 less than two times a number
4 less than two times a number
a)
4-2x
b)
4<2x
c)
2x-4
d)
2-4
19.
Solve:
3(x-4) = -3
3(x-4) = -3
a)
3
b)
-3
c)
5
d)
-5
20.
Solve for the variable. 3x=-27
a)
x=9
b)
x=-30
c)
x=-9
d)
x=-24
21.
2x + 3(5x - 7) = 47
Distribute, combine like terms, solve
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
e)
x = -1
22.
-11 + 3(b + 5) =7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
23.
Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
24.
Write an equation models the following statement:
17 less than h equals 42
17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
25.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
26.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
27.
14 - 2 ( 3p + 1) = 6 ( 4 + p)
a)
No Solution
b)
One Solution
c)
Infinite Solutions
28.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
29.
12 (x + 3 ) = 4 (2x + 9 ) +4x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
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