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Mini-Quiz: Combining Like Terms in an Algebraic Expression

by Ron Kurtus (updated 18 January 2022)

Take this Mini-Quiz to check your understanding of the lesson material.

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1. What is the result of simplifying the expression (2x + 2) + (3y − 6) + 4?

(2x + 6) + (3y − 6)

2x + 3y

5xy

2. What is the result of combining like terms in the expression
ax² + bx + c + 2ax² + 3bx + c?

3ax² + 4bx + 2c

(ax² + bx + c) + (2ax² + 3bx + c)

3x² + 4x + 2

3. What is the result of simplifying the expression
3x(x + 2) + x² − (x + 2)(4 + 1)?

4x² + x − 10

3x² + 3x − 5(x + 2)

4x² + 6x + 10

If you got all three correct, you are on your way to becoming a Champion in Algebra. If you had problems, you had better look over the material again.

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Algebra topics

Mini-Quiz: Combining Like Terms in an Algebraic Expression

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Algebra topics

Basics

• Definition of Algebra
• Purpose of Algebra

Terminolgy

• Terminology Used in Algebra
• Variables and Constants
• Operations and Symbols
• Algebraic Expressions

Properties

• Addition and Multiplication
• Product of Negative Numbers
• Algebra of Objects
• Imaginary Numbers

Expressions

• Combining Like Terms
• Multiplying Binomial Expressions

Exponents and roots

• Exponents
• Exponent Rules
• Multiplication with Exponents
• Division with Exponents
• Exponents to the Power of 10
• Square Roots
• Newton's Approximation

Equations

• Linear Equations
• Solving One Variable Equation

Quadratic equations

• Quadratic Equations
• Solving Equations by Factoring
• Completing the Square Method
• Using the Quadratic Formula
• Derivation of Quadratic Formula

Also see

• Algebra Survey Results
• Arithmetic
• Physical Science
• Chemistry
• Good Grades

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