Unit 1 Review

Multi-Step Equations

100

-4x - 7 -3x + 4= 25

x = -4

200

3k + 2(5k - 3) = 7

k = 1

300

-15 - 3w = 4w - 2w

w = -3

400

2(n + 2) = 4n + 1 - 2n

no solution

500

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

inf solution

Absolute Value Equations

100

|x| = 3

x = {3, -3}

200

|-6k| = 30

k = {-5, 5}

300

|m| + 2 = 11

m = {-9 , 9}

400

|4x - 12| = 16

x = {7, -1}

500

-4|v - 2| - 3 = 25

v = {9, -5}

Inequalities

100

Solve

3x + 12 - 6x < -9

x > 7

200

Solve:

x + 5x - 6 <= 12

x <= 3

300

Graph and give me interval notation:

x > 17

(17, inf)

400

Graph and give me the interval notation:

5(x + 8) - 7 <= 23

x <= -2

(-inf, -2]

Polynomials

100

Simplify:

a(4a + 3)

4a²+3a

200

Simplify:

-3n²(-2n³ + 7n + 4n)

6n⁵ - 33n³

300

Simplify:

4a(5a² - 4) + 9a

20a³ - 7a

400

Simplify:

(x + 1)(x - 1)

x² - 1

500

(4m + 1)²

16m² + 8m + 1

Facts

100

What does FOIL stand for?

First (Front for Kendall)

Outer

Inner

Last

200

If it is a closed circle, are we going to use [ or (?

[

300

If it is an infinity, are we going to use ( or [?

(

400

Finish the sentence. Old MacDonald had a farm________________

Ee i ee i o

500

Give me an example of a no solution problem

42 = 12