Solving Equations Review

Two Step

100

3x + 5 = 20

x = 5

200

4x + 10 = 6

x = -1

300

x/4+7=10

x = 12

400

8x + 5 = 5

x = 0

500

1 - 3x = 2

 x = -1/3

Multi Step

100

4(x + 1) = 16

x = 3

200

7x + 3 - 2x = 8

x = 1

300

(3x-1)/5=-2

x = -3

400

7 - (2x - 1) = 16

x = -4

500

1/2(8x + 12) - 6 = 24

x = 6

Could be anything!

100

Solve:  

x/4=1.75

x = 7

200

Which number in the equation is the coefficient?

5x - 9 = 16

5

300

Which equation is equivalent to 1 + 2(x + 3) = 7?

A) 3x + 4 = 7

B) 2x + 4 = 7

C) 2x + 7 = 7

D) 3x + 7 = 7

C

400

HOW would you solve this equation in ONE STEP?

1/3x=4

Multiply by 3

500

What is the value of x?

5² + 15² = 25x

x = 10

Variables on Both Sides

100

5x + 3 = 2x + 9

x = 2

200

5 + 3x + 2 = 8 + x + 5

x = 3

300

5(x - 1) = -3(x - 9)

x = 4

400

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

x = 7/4 or 1.75

500

1/4(4x + 8) = 2/3(6x + 12)

x = -2

Special Cases

100

How many solutions?

2x + 7 = 2x + 15

NONE - No Solution (NS)

200

How many solutions?

4(x + 2) = 2x + 2x + 8

Infinite Solutions (IMS)

300

How many solutions?

2(x - 6) = 6 - 2x

ONE SOLUTION

400

Which equation has ONE SOLUTION?

A) 4x + 1 = 2x + 2x + 1

B) 2(2x - 1) = 2x + 2

B

500

Which equation has NO SOLUTION?

A) 4x + 7 = 3x + 7

B) 3(x + 2) = 3x + 2

B