Unit 3 Test Review

Exponent Properties

100

Simplify:

(x⁴)³

x¹²

200

(x³)² / x²

x⁴

300

a³ x a⁴ x a

a⁸

400

a^-1

1/a

500

(xyz³) ⁴

x⁴y⁴z¹²

Fraction/Decimals

100

Convert to a decimal:

2/3

.66666...

200

Convert to a fraction

.3333333....

1/3

300

Convert to a decimal:

3/8

0.375

400

Convert to a Fraction:

0.181818....

2/11

500

Convert to a Fraction:

0.03030303...

1/33

Linear Equations

100

Identify the slope and y intercept.

y=2x+3

slope = 2

y intercept = 3

200

Sketch this line:

y=-1x

Line goes through origin and slopes downhill.

300

Fine the slope:

(-2,-3) (-7,10)

13/-5

400

Does the point (-1,-1) fall on the line y=2x+1?

Yes

500

Find the equation for a line with these two points:

(4,3) (-2,0)

y=1/2x + 1

Systems of Equations

100

Is (1/1) a solution for this system?

y=3x+8

y=1/2x-2

No

200

What is the solution to this system?

y=2x+4

-2x + y= 4

Infinite Solutions

300

Draw a graph of a system with no solution.

2 parallel lines

400

Solve this system:

y=2x

2y+2x=6

(1,2)

500

-5x +y =1

-10x + 2y =-2

No Solution

Multi-Step Equation

100

3x=9

x=3

200

5x - 4 = 11

x=3

300

1/2(4x+8)=16

x=6

400

1/4x + 17 = x - 4

x=28

500

3(2x + 1) =5(x - 4)

x = -23