2023 / 2024 Algebra Review

Simple Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

Solve: 3x + 3 - 2x = 21

x = 18

400

Solve: 4x - 5 - 3x + 2 - 2x = 9

x = -12

500

Solve: 21 + x = 2(x - 6)

x = 33

Functions

100

Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)} 

No

200

Algebra: simplify: 3(6wd - 3) + wd3 

Algebra: 21wd - 9 

300

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

400

Simplify: a(b - c) - 2a(c + b)

-1ab - 3ac

500

Algebra: What's the domain of x = 3? 

Algebra: 3 

Slope Intercept/Linear Equations

100

Algebra: What is the slope-intercept of a linear equation

Algebra: y= mx + b

200

Write the following equation in slope-intercept form:  5(x + 2y) = 20

y = -1/2x + 2

300

Solve: (3x-5)/4 = 5

x = 25/3

400

Simplify: -4(3x - 2) -2(4 + 3x)

-18x

500

What is the y-intercept of

y = -1/4 x + 9 

(0, 9)

b = 9

Slope/Simplifying Equations

100

Find the slope: 2(3x - y)  = -10 

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

Solve: (3 - 3x)/7 = 6

x = -13

400

Simplify: 22p - 7p + 19 - 15 - 12

15p - 8

500

 What's the slope of the line passing through (3,9) (5,4)

slope: -5/2

Evaluating/Property

100

What property is shown:

(a*b)*c = a(b*c)

Associative Property of Multiplication

200

Solve the system:  4x + 2y = 8 and 3x + 3y = 9

(1, 2)

300

Evaluate:

{(2*3) +(7*4)} +2 

 

Algebra: 36 

400

Simplify: -(x + 7) -2(4x + y)

-9x -7 -2y

500

Simplify: 1/4(-4 + 16x) - 2/5(20x - 15)

5 - 4x

Factoring

100

Factor Completely:

x³ + 2x²

x² (x + 2)

200

Factor Completely:

x² - 5x + 6

(x - 2)(x - 3)

300

Factor Completely:

25x⁵ - 35x³

5x³ ( 5x² - 7)

400

Factor Completely:

100y - 900xy

100y( 1 - 9x)

500

Which factoring method should we check for first?

Greatest Common Factor (GCF)