Elementary Algebra Test Review Modules 1-3

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Simplify this problem completely: -18 + 24

Simplify this problem completely: -25 - 15

-40

Simplify this problem completely: 18 - 24 + ( -8 ) - 12

-26

Simplify this problem completely: 4 / 5 - 2 / 3

2/15 Signup and view all the answers

Simplify this problem completely: 4 / 5 divided by 2 / 3

1 & 1/5 or 6/5 Signup and view all the answers

Find the absolute value of this problem: - |12 - 18|

-6 Signup and view all the answers

Find the absolute value of this problem: -3 - |-4|

-7 Signup and view all the answers

Find the absolute value of this problem: |-7| - |-20|

-13 Signup and view all the answers

Evaluate this problem: -5 - 3(-2)

1 Signup and view all the answers

Evaluate this problem: 12(0) - 17(2) + (-6)

-40 Signup and view all the answers

Simplify this: -7 squared

49 Signup and view all the answers

Simplify this: (-3) cubed

-27 Signup and view all the answers

Simplify this: (-20 + 16) squared

16 Signup and view all the answers

Determine the property of this problem: 26 + (14 + 19) = (26 + 14) + 19

Associative Property of Addition Signup and view all the answers

Determine the property of this problem: 3/4 + (-3/4) = 0

Additive Inverse Property Signup and view all the answers

Determine the property of this problem: 9 * 1/9 = 1

Inverse Property of Multiplication Signup and view all the answers

Determine the property of this problem: -2(3X - 4) = -6X + 8

Distributive Property Signup and view all the answers

Simplify this problem using PEMDAS: 28 - [4 - (7 - 9)] - 12 divided by (-3)

26 Signup and view all the answers

Simplify this problem by using PEMDAS: 75 divided by 3 * 2 divided by 10 squared divided by 4

2 Signup and view all the answers

Simplify this problem by using PEMDAS: -28(-3/7)

12 Signup and view all the answers

Simplify this problem using Distributive Property: 3(X - 9)

3X - 27 Signup and view all the answers

Simplify this problem using Distributive Property: -4(A + B)

-4A - 4B Signup and view all the answers

Simplify this problem using Distributive Property: 10(M + K) - 2M

8M + 10K Signup and view all the answers

Simplify this problem using Distributive Property: 5X - 3(2Y + 4X) - 7Y

-7X - 13Y Signup and view all the answers

Study Notes

Basic Arithmetic Operations

Simplification of -18 + 24 results in 6.
Simplification of -25 - 15 yields -40.
Simplifying 18 - 24 + (-8) - 12 gives -26.

Fractions and Division

The operation 4/5 - 2/3 simplifies to 2/15.
4/5 divided by 2/3 can be expressed as 1 & 1/5 or 6/5.

Absolute Value

The absolute value of -|12 - 18| is -6.
Calculation of -3 - |-4| results in -7.
The absolute difference |-7| - |-20| leads to -13.

Evaluations

Evaluating -5 - 3(-2) results in 1.
The expression 12(0) - 17(2) + (-6) equals -40.

Powers and Exponents

Squaring -7 gives 49.
Cubing -3 results in -27.
The expression (-20 + 16) squared equals 16.

Algebraic Properties

Associative Property of Addition is demonstrated by 26 + (14 + 19) = (26 + 14) + 19.
The Additive Inverse Property is shown with 3/4 + (-3/4) = 0.
The Inverse Property of Multiplication is represented by 9 × 1/9 = 1.
The Distributive Property is represented by -2(3X - 4) = -6X + 8.

Application of PEMDAS

Using PEMDAS, the expression 28 - [4 - (7 - 9)] - 12 ÷ (-3) simplifies to 26.
The calculation of 75 ÷ 3 × 2 ÷ 10² ÷ 4 results in 2.
The expression -28(-3/7) simplifies to 12.

Distributive Property Applications

Simplifying 3(X - 9) gives 3X - 27.
The expression -4(A + B) simplifies to -4A - 4B.
The operation 10(M + K) - 2M simplifies to 8M + 10K.
Simplifying 5X - 3(2Y + 4X) - 7Y results in -7X - 13Y.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

Prepare for your Math 098 test with these flashcards focusing on simplification problems. Each card presents a mathematical expression to simplify, helping reinforce your understanding of key concepts from Modules 1 to 3. Get ready to ace your exam with this quick review!