2023 Algebra Review

Simple Equations

100

Solve: 2x + 2 = 18

x = 8

200

Solve: 3x + 4 = 7

x = 1

300

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

x = -12

400

Solve: 3x + 3 - 2x = 21

x = 18

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

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

-1ab - 3ac

400

Algebra: Solve for a: ax + b = c 

Algebra: a = (c - b)/x 

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

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

-18x

400

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

x = 25/3

500

simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2

2hk + 4k

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 x=4

undefined

400

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

2/3

500

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

slope: -5/2

Multiplying Binomials

100

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

6x²-11x-10

200

(x+3)(x-3)

x²-9

300

(3x+2)²

9x²+12x+4

400

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

6x²-29x+35

500

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

-6x²+29x-35

Factoring

100

x^2-x-12

(x-4)(x+3)

200

x²+8x+7

(x+1)(X+7)

300

x²+2x-35

(x+7)(x-5)

400

x^2-49

(x+7)(x-7)

500

x²-14x+37

Not Factorable

Rationals

100

The simplified form of 

sqrt52

What is 

2sqrt13

200

The simplified form of 

2sqrt18-5sqrt32+3sqrt15

What is 

-14 sqrt 2 + 3sqrt 15

300

The simplified form of 

3sqrt64 +4sqrt92 +sqrt 9

What is

27+2sqrt23

?

400

The simplified form of 

sqrt((6x^3y^4)/(18xy^6)

What is

(xsqrt3)/(3y)

 ?

500

The simplified form of 

(3+sqrt5)/(2-sqrt3)

What is

6+3sqrt3+2sqrt5+sqrt15

?