Pre-Algebra Final Exam Study Guide

Questions and Answers

What formula do you use to solve 'At 50 mph how long will it take to go 325 miles'?

Rate/time=Distance or D=R*T

2124 is divisible by which of the following numbers? (Select all that apply)

9 (correct)

4 (correct)

2 (correct)

6 (correct)

3 (correct)

In a quadrant plane, Roman numerals go from?

Right to left

What is the result when using the distributive property on -6(y - 3)?

-6y + 18 Signup and view all the answers

What is the solution to the equation -7 = n - 6?

n = -1 Signup and view all the answers

What is the solution to the equation -54 = -9w?

w = 6 Signup and view all the answers

What is the greatest common factor of 20c^3d and 12cd?

2d Signup and view all the answers

Evaluate the expression 9x - (y + z) if x = 3, y = 8, and z = 5.

14 Signup and view all the answers

What number is indicated if a number increased by 14 equals 52?

x = 38 Signup and view all the answers

What is the product of 7x * 2x^6?

14x^7 Signup and view all the answers

What is the product of 15 * 4/5?

12 Signup and view all the answers

What is the result of 2 1/4 * (-4/3)?

-3 Signup and view all the answers

What is 5 ÷ (-1 1/3)?

-3 3/4 Signup and view all the answers

What is the sum of 7/9 + (-2/9)?

5/9 Signup and view all the answers

What is the least common multiple of 7c^2 and 21c?

21c^2 Signup and view all the answers

If 20 CDs cost $18, what is the cost per CD?

$0.90 Signup and view all the answers

Convert 4 ft/min to yards per hour.

80 yd Signup and view all the answers

Convert the percentage 45% to a fraction.

9/20 Signup and view all the answers

Convert the percentage 120% to a fraction.

1 1/5 Signup and view all the answers

Convert the percentage 0.5% to a fraction.

1/200 Signup and view all the answers

What is approximately 40% of 45?

18 Signup and view all the answers

If 15 is less than or equal to 5w, then w = 3.

True Signup and view all the answers

What is the solution to the equation n^2 = 81?

n = 9 Signup and view all the answers

Use the Pythagorean theorem to find a if b = 2 and c = 7.

a = 6 * 7 Signup and view all the answers

Is the relation {(0,0), (-4,3), (10,3), (3,3), (5,8)} a function?

False Signup and view all the answers

What is the percent of change from $56 to $63?

125% increase Signup and view all the answers

What is the percent of change from 68 to 51?

25% decrease Signup and view all the answers

Write a linear equation with a slope of -1 and a y-intercept of 3.

y = -1x + 3 Signup and view all the answers

What is the measure of one angle in a quadrilateral?

90 degrees Signup and view all the answers

What is the total degree measure of a hexagon?

720 degrees Signup and view all the answers

What is the volume of a pyramid with a square base of 4 inches and a height of 12 inches?

64 cubic inches Signup and view all the answers

What is the area of a rectangle that measures 4 in by 12 in?

48 in squared Signup and view all the answers

What is the area of a triangle with a base of 10 ft and a height of 17 ft?

56 2/3 feet squared Signup and view all the answers

What is the area of a circle with a radius of 3.5?

38.5 units squared Signup and view all the answers

How do you find the area of a circle?

Area = π * r^2 Signup and view all the answers

How do you find the area of a rectangle?

Area = length * width Signup and view all the answers

How do you find the area of a cone?

Area = (1/3) * π * r^2 * h Signup and view all the answers

Study Notes

Distance, Rate, and Time

Use the formula D = R × T to calculate distance.
Example: At 50 mph, traveling 325 miles takes 6.5 hours.

Divisibility

2124 is divisible by 2, 3, 4, 6, and 9.

Roman Numerals

Roman numerals are arranged on a quadrant plane from right to left.

Distributive Property

Apply the distributive property: -6(y - 3) equals -6y + 18.

Solving Equations

For -7 = n - 6, solve to find n = -1.
For -54 = -9w, rearrange to find w = 6.

Greatest Common Factor

The greatest common factor of 20c³d and 12cd is 2d.

Evaluating Expressions

Evaluate 9x - (y + z) using x = 3, y = 8, z = 5 to get 14.

Algebraic Expressions

If a number increased by 14 equals 52, then x + 14 = 52, yielding x = 38.
The product of 7x and 2x⁶ is 14x⁷.

Multiplication and Division

15 multiplied by 4/5 equals 12.
2 1/4 multiplied by -4/3 gives -3.
5 divided by -1 1/3 results in -3 3/4.

Fraction Addition

Adding fractions: 7/9 + (-2/9) equals 5/9.

Least Common Multiple

The least common multiple of 7c² and 21c is 21c².

Unit Cost

To determine the cost per CD, divide $18 by 20 CDs to get $0.90.

Unit Conversion

Convert 4 ft/min to yards per hour: 4 ft/min equals 80 yd/hr.

Percent Conversion

Convert 45% to a fraction: 45% equals 9/20.
Convert 120% to a mixed number: 120% equals 1 1/5.
Convert 0.5% to a fraction: 0.5% equals 1/200.

Percent Calculation

Approximately 40% of 45 is 18.

Functions

If 15 is less than or equal to 5w, true implies w = 3.

Square Roots

The solution for n² = 81 is n = 9.

Pythagorean Theorem

Using the Pythagorean theorem with b = 2 and c = 7, a equals 6.

Function Relations

The relation {(0,0), (-4,3), (10,3), (3,3), (5,8)} represents a function.

Percent of Change

From $56 to $63, the percent of change is a 125% increase.
From 68 to 51, the percent of change is a 25% decrease.

Linear Equations

A linear equation with a slope of -1 and a y-intercept of 3 is expressed as y = -1/m + 3/b.

Angles in Shapes

One angle in a quadrilateral measures 90 degrees.
The total degree measure of a hexagon is 720 degrees.

Area and Volume Calculations

Volume of a pyramid with a square base of 4 in and a height of 12 in is 64 cubic inches.
Area of a rectangle measuring 4 in by 12 in is 48 in².
Area of a triangle with a base of 10 ft and a height of 17 ft is 56 2/3 ft².
Area of a circle with a radius of 3.5 is approximately 38.5 units².

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Prepare for your Pre-Algebra final exam with this study guide featuring essential flashcards. Each card focuses on key formulas, properties, and concepts you'll need to master. Improve your understanding of rates, divisibility, and the distributive property as you get ready for your exam.