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Solving Algebraic Equations

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

What would be the first step to solving the equation being modeled? (green=x red = -1 blue = 1)

a)

Add 4 red tiles or -4 to both sides

b)

Add 4 blue tiles or 4 to both sides

c)

Add 10 red tiles or -10 to both sides

d)

Add 10 blue tiles or 10 to both sides

2.
What equation is modeled?  Solve the equation.
a)
x -6 = 13     x = 19
b)
x + 6 = 13    x = 7
c)
x + 6 = 13    x = 8
d)
x - 6 = 13   x = 7
3.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

a)

7=x+3

b)

7=x+(-3)

c)

7=-x+3

d)

-7=x-3

4.

Solve the equation. (white is positive and the rectangle is the variable)

a)

x=10

b)

x=-4

c)

x=-10

d)

x=4

5.
20 = 8x - 12
a)
2
b)
3
c)
4
d)
5
6.
115 = 12x - 5
a)
6
b)
8
c)
10
d)
12
7.
x / 7  + 14 = 22
a)
x = -56
b)
x = 56
c)
x = -9
d)
x = 9
8.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
9.
a)
2
b)
4
c)
6
d)
8
10.

- 1 + a/3 =4

a)

a = -15

b)

a = 15

c)

a = 9

d)

a = -9

11.

6b = 30

a)

x = 36

b)

x = 24

c)

x = 180

d)

x = 5

12.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
13.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
14.
x + 40 = 56
a)
x = 16
b)
x = 96
c)
x = 15
d)
x = 10
15.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9