2022 / 2023 Algebra Review (2)

Exponents

100

Simplify using Laws of Exponents: -8r¹⁰ / 2r⁵

-4r⁵

200

Simplify using Laws of Exponents: (-3a⁵b¹²)⁵

-243a²⁵b⁶⁰

300

Simplify using Laws of Exponents: (-9s)(2s³)

-18s⁴

400

Simplify using Laws of Exponents: (6b¹²)(2b²)(1/3 b^-5)

4b⁹

500

Simplify using Laws of Exponents: (7a^-5b⁶)⁴/(7a⁴b)⁴

b²⁰ /a³⁶

Functions

100

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

No

200

Algebra: simplify: 3(6wd - 3) + 3wd 

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 

Writing Linear Equations

100

This is the equation for the line with a slope of 2 and a y-intercept of 4.

What is y = 2x + 4?

200

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

y = -1/2x + 2

300

This is the Standard form for the equation y = 2/3x - 6

What is 2x-3y=18?

400

This is the equation for the line that passes through (2,5) and has a slope of 1/2.

What is y = 1/2x + 4?

500

This is the equation for the line that passes through the points (3, 4) and (6, 10).

What is y=2x-2?

Slope

100

Find the slope: 2(3x - y)  = -10 

3

200

What is the slope of the line parallel to 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

undefined

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

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

6x²-29x+35

400

(3x+2)²

9x²+12x+4

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

x^2-49

(x+7)(x-7)

400

x²+2x-35

(x+7)(x-5)

500

x²-14x+37

Not Factorable