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Solving Equations
Solve the equation.
1.
x + 2 = 14
1. __________________________
2.
-5 = x – 4
2. __________________________
3.
x + 9 = 14
3. __________________________
4.
x – (-9) = -9
4. __________________________
5.
x+8=7
5. __________________________
6.
13 = 6 + x
6. __________________________
7.
1=5+x
7. __________________________
8.
x – 3 = -10
8. __________________________
9.
x – (-6) = -4
9. __________________________
10.
-12 = -9 + x
10. __________________________
11.
x + 9 + 15 = 18
11. __________________________
12.
4x = 12
12. __________________________
13.
-32 = 16x
13. __________________________
14.
15.
x
­4
=5
5 =20x
14. __________________________
15. __________________________
St. Patrick’s Equations
Name:
Teacher:
Class:
Date:
Directions: Solve the problem, and circle one of the two answers. On the coloring sheet, color all of the
problems accordingly. For example, if number one has an answer of x=3, color all of the number ones
RED.
No.
Problem
Answer 1
Answer 2
1
3x – 12 = -21
x = -3
dark green
x=3
red
2
6(x – 2) = -24
x = -2
light green
x=2
purple
x = -15
pink
x = 15
yellow
3
x–4=6
4
-2x + 8 = 3x – 2
x=2
black
x = -2
brown
5
7x – 3x + 8 = -12
x=5
yellow
x = -5
gray
© USATestprep, Inc., All Rights Reserved
Solving Multi-step Equations
Name:
Teacher:
Class:
Date:
Directions: Complete each problem and circle either answer one or two. The color will
correspond with the problem number on the picture.
#
Problem
Answer One
Answer Two
1
8n – 2n = 12
n=2
orange
n = 1/2
black
2
-12 = -4 + 5x + 3x
x = -3/4
pink
x = -1
brown
3
-3(x + 2) = 6
x=0
dark green
x = -4
light green
4
-4(2r + -5) = -44
r=8
black
r=3
gray
5
12 = 6(-3 – x)
x = -5
yellow
x=1
pink
6
-2(x – 23) – 6 = 60
x = -50
hot pink
x = -10
red
7
2(x – 3) + 5 = 3(x – 1)
x = -2
purple
x=2
blue
8
½(y – 8) = -3.5y + 8
y=3
peach
y = -3
gray
9
9 – (2y – 3) = 4y
y = -2
orange
y=2
dark green
10
2(4x – 12) + 3x = 6x + 1
x=5
purple
x = -5
blue
© USATestprep, Inc., All Rights Reserved
© USATestprep, Inc., All Rights Reserved
Solve Multi-Step Equations
Name:
Teacher:
Class:
Date:
Directions: Solve the following multi-step equations. Show your work.
1.)
a + 17 = -19
2.)
-4x = 36
3.)
= -2
4.)
20 – b = -17
5.)
5x + 9 = 24
6.)
+4 = 6
7.)
8x – 2 = -9 + 7x
8.)
p – 1 = 5p + 3p – 8
9.)
12 = -4(-6x – 3)
Write and solve the following equation:
10.)
A dance academy charges $24 per class and a one-time registration fee of $15. A
student paid a total of $687 to the academy. Find the number of classes the student
took. Use words, numbers and/or symbols to explain how you got your answer.
© USATestprep, Inc., All Rights Reserved
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