2023 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

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

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

Slope

100

Find the slope: 2(3x - y)  = -10 

3

200

What is the slope of the following equation:

2x + 2y = 8

slope = -1

300

What is the slope of the line perpendicular to 3x+2y=12

2/3

400

What is the slope of the line x=4

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Multiplying Binomials

100

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

6x²-11x-10

200

(x+3)(x-3)

x²-9

300

(2x-5)(3x-7)

6x²-29x+35

400

(3x+2)²

9x²+12x+4

Factoring

100

x^2-x-12

(x-4)(x+3)

200

x²+8x+7

(x+1)(X+7)

300

x^2-49

(x+7)(x-7)

400

x²+2x-35

(x+7)(x-5)