Unit 3A Review

Linear Equations

100

x - 1 = -2 + 2x

x = 1

200

-11 - 6x = -6x - 7

No Solution

300

5(5 + x) = 7(x + 1)

x = 9

400

3(x + 3) - 3(x - 3) = 18

Infinite Solutions

500

-7(1 - 4x) + 3 = -4 + 7x

x = 0

Inequalities

100

8 ≥ 5x + 3x

x ≤ 1

200

6(x - 7) ≥ -84

r ≥ -7

300

6(6 + 5x) + x < 98

x < 2

400

101 ≥ -3 - 8(2x - 3)

x ≥ -5

500

-31 + 5x < 7(3 - 3x)

r < 2

Exponential Equations

100

4^x = 1024

x = 5

200

6^2x = 1

x = 0

300

4^{-x - 3} = 16

x = -5

400

2^x = 1/64

x = -6

500

2^4x - 5 = 27

x = 5/4 or 1.25

Absolute Value

100

|x| = 9

x = 9, x = -9

200

|x - 1| = -3

No Solutions

300

|x + 6| = 7

x = 1, x = -13

400

|-2x + 4| - 2 = 0

x = 1, x = 3

500

-9|2x + 5| = -81

x = 2, x = 7

Wild Card

100

Write the prime factorization of 54

2 x 3³

200

Simplify

3x⁰

3

300

Simplify

2x^-3

2/x³

400

Simplify.

-4x - (1 - 6x)

2x - 1

500

Solve for y.

ax + by = c

y = c - ax / b