2023 / 2024 Algebra Review

Solving 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 & Expressions

100

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

No

200

Simplify: 3(6wd - 3) + wd3 

21wd - 9 

300

What's the domain of {(4, 5), (-3, 7), (9, -1)}?

The set of x-values {-3, -1, 4}

400

Evaluate the expression 5² - 6/3  + (3 - 8) 

What is 18

500

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

-1ab - 3ac

Slope Intercept/Linear Equations

100

Find the slope: 3x + y = -10 

-3

200

What is the y-intercept of

y = -1/4 x + 9 

(0, 9)

b = 9

300

What is significant about the slope of parallel lines?

The slopes are the same

400

Perpendicular lines have slopes that are opposite reciprocals. What is an example of numbers that are opposite reciprocals? 

i.e.   3 and -1/3,  3/4 and -4/3,  -9/7 and 7/9

500

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

y = -1/2x + 2

Inequalities & Systems

100

The inequality  -16 > -19  is true or false?

True

200

Solve and graph the inequality 

-2x + 7 > 13

x < -3     open circle at -3, shading to the left 

300

Solve the system of equations:

y = -1/2 x + 6  

y = -1/4 x + 4

(8, 2)

400

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

(1, 2)

500

DAILY DOUBLE!!

You may choose to wager some points. You have 2 minutes to simplify the expression. 

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

5 - 4x

Factoring

100

What is the GCF  Greatest Common Factor of 

3m² and 9m

3m 

200

What is the GCF  Greatest Common Factor?

100y - 900xy

100y

300

Are these expressions equivalent? 

5(2k + 10)   and  10k + 50k

No, the term with 50 should not have a k 

but 5(2k + 10) and 10k + 50 are equivalent. 

400

Factor Completely:

x³ + 2x²

x² (x + 2)

500

Factor Completely:

25x⁵ - 35x³

5x³ ( 5x² - 7)

Do you know us?

100

What year did Ms. Lavetksy graduate from NAHS?

2003

200

Who is older, Ms. Morgan or Mrs. Lavetsky?

Ms. Morgan

300

What is Ms. Morgan and Ms. Lavetsky's favorite football team?

Eagles

400

Where did Ms. Morgan go to college?

West Chester

500

Where are Ms. Morgan and Ms. Lavetsky both from?

Norristown