Spring 2024 Pre-Algebra Exam Review

Expressions and Factoring

100

Simplify the following:

3x - x + 5 + 2

2x + 7

200

Simplify the following:

4(2x - 1) + 3

8x - 1

300

Simplify the following:

(2x²)(5x³)

10x⁵

400

Factor with a GCF:

16x - 28

4(4x - 7)

500

Simplify the following:

(3x² + 4x) - (3x - 5x² + 2x³)

-2x³ + 8x² + x

Equations

100

What operation would you use to solve the equation, 3x=12?

Division

200

Solve the equation,        2x + 4 = 20

x = 8

300

Solve the following equation, 3x = 6(3x + 2)

x = -4/5

400

Bill is a plumber. He charges a $100 home-visit fee and $25 per hour. Write an equation to calculate the cost, C, of have Bill work on your house for x hours. 

C = 25x +100

500

Charlie mows lawns during the summer to earn money. He earns $60 per day day mowing. At the beginning of the summer he spent $300 on a new lawnmower. How long will it take him to earn $220?

60x - 300 = 240

x = 9 days

Linear Relationships

100

What is the slope of the equation? y=4x+1

m=4

200

Write the equation of a line with a slope of 7 and a y-intercept of 3. 

y=7x+3

300

Calculate the slope of the line that passes through the two points (9,-1) and (3,2).

-1/2

400

What is the slope of the equation? y=2

Zero

500

If a line has an undefined slope what does it look like? (Or provide an example of a line with an undefined slope.) 

Vertical Line, x=4

Statistics / Throwback

100

Convert to Scientific Notation:

0.000341

3.41 x 10^-4

200

Convert to Standard Notaion:

1.2 x 10³

1,200

300

Given the data below, find the median.  93, 79, 59, 83, 51, 122, 58, 111, 122, 56

Median = 81

400

Given the data below, find the mean (Round to the hundredths place).

25, 40, 27, 35, 33, 40, 39, 26, 38, 37, 30, 34, 39, 35

Mean  = 34.14

500

Write the 5 Number Summary for the following Data Set (Min, Lower Quartile Q1, Median, Upper Quartile Q2, Max):

18, 22, 23, 33, 28, 20, 19, 30, 28, 26, 25, 28, 23, 33, 30, 30, 20

Min = 18, Q1 = 21, Median = 26, Q3 = 30, Max = 33

Geometry

100

Find the Area of a rectangle with the following Dimensions:

W = 5 ft, L = 6 ft

Area = 30 ft²

200

Find the Area of a Triangle with the following Dimensions: Base = 4 in, Height = 7 in

Area = 14 in²

300

Find the Volume of a Rectangular Prism with the following Dimensions:

W = 3 in, H = 5 in, L = 7 in

Volume = 105 in²

400

Find the circumference of a circle with a Radius of 3 in (Leave your answer in terms of Pi).

Circumference = 6Pi in²

500

Find the Area of a circle with a Diameter of 12 ft (Express your answer in terms of Pi). 

Area = 36Pi ft²