Solving Equations Review

Multi-Step

100

6x - 2 = 0

What is x=1/3 

200

1/3x+12=31

What is x = 57

300

3(x-11)=39

What is x = 24

400

4(3x-17)+1=17

What is x = 7

500

5(x-13)=10x

What is x = -13

Absolute Value

100

|k - 8| = 2

What is x = 6 and x = 10

200

What is |2x-12| = 14

What is x = 13 and x = -1

300

|x/3|=24

What is x = 72 and x = -72

400

|8n|-1=23

What is x = 3 and x = -3

500

What is |5x-21|-13 = -99

What is no solution

Quadratics by Factoring

100

(4x+1)(5x-15)=0 

What is x = -1/4 and x = 3

200

x²+5x+6=0

What is x= -2 and x= -3

300

x² - 12x + 27 = 0

What is x = 9 and x = 3

400

2x² + 2x - 40 = 0 

What is x = -5 and x = 4

500

x² - 3x - 20 = 8 

What is x = 7 and x = -4

Quadratic Formula

100

3x² - 5x - 8 = 0

What is x = -1 and x = 8/3 (2.6)

200

12x² + 9x - 30 = -10 

What is x = -1.719 and x = 0.969 

300

6x² = 11 

What is x = -1.354 and x = 1.354

400

10x² - 9x + 6 = 0

What is no real solutions.

500

-4x² + 18x - 15 = -7x² + 9x

What is x = -4.193 and x = 1.193

Rational Equations

100

1/(x+1) = 7 

What is x = -6/7

200

2/(x-4) = 1/5

What is x = 14

300

4/(x-2) = 2/3

What is x = 8

400

5/x + 3/x = 2/4 

What is x = 16

500

5/(x+1) + 3/(x+1) = 2/9 + 5/9

What is x = 11/7