Overview

Absolute Value

100

|x|=9

x=-9 and 9

200

|x+3|=20

x=17,-23

300

5|2x+4| > 20

x>0 and x<-4

400

|x-9|+12=10

No Solution

500

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

x=3

Linear Systems of Equation

100

Equations that have the same slope but different y-intercepts have how many solutions? Explain.

(verbal response) 

0 solutions because the lines would be parallel

200

x-2y=4

And

-x+6y=12

(12,4)

300

5x+2y=12

And

-6x-2y=-14

(2,1)

400

x+3y=3

And

-x-3y=-3

Infinite Solutions

500

The sum of two numbers is 17. The difference of the two numbers is -5. Find the numbers.

6 and 11

Quadratics

100

Solve for x.

x²+5x+4

x=-1,-4

200

Solve for x.

x²+2x-15=0

x=3, -5

300

Solve for x.

x²-5x+6=0

x=3,2

400

Solve for x.

4x²-5x=21

x= -7/4 , 3

500

Solve for x.

25x²-289=0

x=3.4, -3.4

Simplifying Expressions

100

7x+3y-2x

5x+3y

200

(x⁵)(x⁴)

x⁹

300

x⁴/x³

x

400

(x²y⁵)² (xy³)

x⁵y¹³

500

5(3x+4)-2x

13x+20

Simplifying Expressions S2

100

a⁴ / a³

a

200

(2xz³)(5x⁴)

10x⁵z³

300

5/x    +    3/y

5y+3x/xy

400

(x²-2x-24)/(2x³+6x²-8x)

(x-6)/2x(x-1)

500

(x+1)/(x+2)    +    (x-3)/(x-2)

2(x²-x-4)/(x+2)(x-2)