Unit 4 Test Review

Exponents

100

(4x³)(7x⁵)

28x⁸

200

(9y³)²

81y⁶

300

5a³b³  * (ab²)^-1

5a²b

400

81p⁸q⁴/9pq²

9p⁷q²

500

25p⁷r^-1/5p⁶r^-1

5p

Solving for "x"

100

4(x - 7) + 8 = -16

x = 1

200

3(x + 9) - 5 = 14x

x = 2

300

2/3x + 1/2x = 7

x = 6

400

1/4x + 1/2x + 2 = 8

x = 8

500

0.2x + .6 = 1.8

x = 6

Area Model

100

Write the area as a sum using the area model.

(x + 4)(x + 3)

x² + 7x + 12

200

Write the area as a sum using the area model.           (x - 7)(x + 2)

x² - 5x - 14

300

Write the area as a sum using the area model.

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

12x² +7x - 10

400

Write the area as a sum using the area model.

(8x - 3)(4x - 2)

32x² -28x + 6

500

Write the area as a sum using the area model.

(3x - 2y)(4x + 4)

12x² -8xy + 12x - 8y

Exponential Equations

100

4^x+3 = 4⁶

x = 3

200

2^x-6 = 2⁷

x = 13

300

5^(2x-6) = 25

x = 4

400

3^3x-2 = 27

x = 5/3

500

8^x-2 = 64⁴

x = 10

Linear Equations

100

Which equation is parallel to y=1/2x - 7

a. y=-1/2x + 7

b. y=2x - 7

c. y=1/2x -5

d. y=-2x + 3

Parallel lines have the SAME slopes.

Answer c is correct.

200

Which equation is perpendicular to y=1/2x - 7

a. y=-1/2x + 7

b. y=2x - 7

c. y=1/2x -5

d. y=-2x + 3

Perpendicular lines have slopes that are the opposite reciprocals.

Answer d is correct.

300

Write and equation of the line given that passes through the points (-6,3) and is perpendicular to 

y=3x - 5

y=-1/3x + 1

400

Write and equation of the line given that passes through the points (-6,3) and is parallel to 

y=3x - 5

y=3x + 21

500

What is the equation of the line that passes through (5,6) and is parallel to y=-1/5x - 3

y=-1/5x + 7