Expressions, Equations, and Inequalities

Expressions

100

x(x² - x + 3)

x³ - x² + 3x

200

y(y + 4) - y(y - 3) - 9y

-2y

300

(x + 4)²

x² + 8x + 16

400

(5x + 4y)(x - y)

5x² - xy - 4y²

500

(k - 5)(k² - k - 8)

k³- 6k² - 3k + 40

Equations

100

18x + 1 - 14x - 5 = -20

One Solution

x = -4 

200

-3(k - 8) - (5k + 5) = 23

One Solution

k = -1/2

300

3x - 13 = 7(x + 2) - 4(x - 7)

No Solution 

400

5x - (x - 18) = 6 - 2(x + 15)

One Solution 

X = -7

500

8(5x - 3) = 6(-15x - 4)

One Solution 

X = 0

Inequalities and Absolute Value

100

Solve Inequality 

4(x + 3) > -24

x > -9

200

Solve Inequality and Graph

-8(x - 1) - x <= -28

x >= 4

300

Solve, Graph, and give me interval notation

5x - 3(x + 6) >= 8 - (x - 7) 

x >= 11

[11, inf)

400

|-2v - 5| = 17

v = {-11, 6}

500

7|4n + 8| - 6 = 106

n = {-6, 2}

Facts

100

If you have x * x, what do you do with the powers?

Add them

200

What are the three parts of an expression?

Variables, Coefficients, and Constants

300

How do you know you have an infinite solution Problem? Give me an example as well.

the left side = the right side

70x - 42 + 17y = -42 + 70x + 17y

400

What are the 4 steps for solving an absolute value equation?

1. Isolate Absolute Value Equation

2. One positive and one negative equation

3. Solve Equations

4. Write as a solution set

500

What does FOIL Stand for?

First, Outer, Inner, Last

Final Jeopardy

300

Solve, Graph, and Give me Interval Notation:

7x - 14 >= 0 or 4x + 5 <= -3

x>= 2 or x <= -2

Notation: (-inf, -2) U [2, inf)