Solving Equations

Combining Like Terms

100

Simplify

3x - 2 + 18

3x + 16

200

2x + 4 - 3x -1

-x+3

300

14 - 5x + 6 -3x

20-8x

400

-4x + 6 -3x + 5 - x² + 6x

-x² -x +11

500

-4x² -y + 3x -y +5x²-3x

x²-2y

Distributive Property

100

2(x +1)

2x+2

200

-3(x + 5)

-3x -15

300

-4(x + 7) + 3

-4x - 25

400

7- 3(x-4) + x

-2x +19

500

10 -(x-5) + 3(x-1)

12 + 2x

Two Step Equations

100

2x + 1 = 5

x=2

200

3x - 4 = 20

x= 8

300

1/4 x + 3 = -1

x = -16

400

-2 -1/2x = 4

x = -12

500

.6x+5 +.4x=10

x=5

Multi-Step Equation (variables both sides)

100

3x - 1 = 2x + 6

x=7

200

4x + 5 = 2x + 7

x=1

300

8 + 2x = 14 - 4x

x=1

400

10-3x = 18-7x

x=2

500

1/2x-2=1/4x+3

x=20

Mixed Problems

100

A length of a side of a square is 3x.  What is the perimeter of the square. 

12x

200

The side lengths a triangle are 2x, 4x + 1 and 3x + 2. What is the perimeter of the triangle?

9x + 3

300

The area of a rectangle is 60 ft². The length is x+ 7 and the width is 5. What is the actual length of the rectangle?

 The actual length is 12 feet.

400

The local bakery sells cupcakes for $1, cookies for $2 and pies for x.  Chelsea bought 4 cupcakes, 7 cookies and 3 pies. If she spent $48. How much did each pie cost?

Pies cost $10 each.

500

2(x+5)-3(x-1)=3x-3

x=4