Variable on One Side
Variable on Both Sides
Combine Like Terms
Word Problems
Number of Solutions
100

x/3=7

x=21

100

2x + 3 = 5x - 2

x = 5/3

100

2a + 3b - 4a

5b - 4a

100

Bryan's soccer team purchased uniforms and equipment for a total cost of $912. The equipment cost $612, and the uniforms cost $25 each. How many uniforms did the soccer team purchase?

12 uniforms

100

One, None, or Infinitely Many Solutions?

x + 2 = x + 2

Infinitely Many Solutions

200

-2 - 6x = -20

x = 3

200

2(x - 4) = x + 1

x = 9

200

5x + 4x - 6 + 5x2 

5x2 + 9x - 6

200

The Elk Grove Bowling Alley offers a special. Each game costs $2.50 and shoe rental is $2. You spend $14.50 total. How many games did you bowl?

5 games

200

One, None, or Infinitely Many Solutions:

36 - 7p = -7p + 35

No Solution

300

-5(5 - x) = 35

x = 12

300
6(y + 7) = 2(y - 3)

y = -12

300

-5(a - 6) + 2a

-3a + 30

300

The sum of eight and twice a number is 14. What is the number?

The number is 3

300

One, None or Infinitely Many Solutions:

4(k - 8) = -32 + 4k

Infinitely Many Solutions

400

-15 = 5b + 12 - 2b + 6

b = -11

400

10a + 3a + 5 = 2(a - 3)

a = -1

400

-5(x + 2) + 5(x - 5)

-35

400

The length of a rectangle is 5 times the width. The perimeter is 84 feet. Find the length and the width.

Length is 35 feet

Width is 7 feet

400
Fill in the blank so that you would have INFINITELY MANY SOLUTIONS:


-4(x - 3) = _____________

-4x + 12

500

6(2x + 5) + 5(3x - 7) = 4

x = 1/3

500

1/3(x+6)=2/3(x-9)

x = 24

500

-4(1 - 8n) - 4(8n + 4)

-20

500

Alice is 4 times older than Alex. Five years ago, she was 9 times older than Alex. How old are they now?

Alice is 32 years old

Alex is 8 years old

500

Fill in the blank so that there would be NO SOLUTION. (Answers may vary)

3(x -1) + 4 = __________


3x + ____

The blank CANNOT be 1. 

M
e
n
u