What is the result of simplifying the expression 3x + 5x − 2x?

6x. Combine like terms by adding and subtracting coefficients: 3 + 5 − 2 = 6.

What does it mean to 'factor' an algebraic expression?

Factoring means rewriting an expression as a product of its factors, such as writing x² + 5x + 6 as (x + 2)(x + 3).

Using the distributive property, what is the expanded form of 4(3x − 7)?

12x − 28. Multiply 4 by each term inside the parentheses: 4 · 3x = 12x and 4 · (−7) = −28.

What is the greatest common factor (GCF) of 12x²y and 8xy²?

4xy. The GCF of 12 and 8 is 4, and the lowest power of each shared variable is x¹ and y¹.

What is the value of the expression 2a² − 3b when a = 3 and b = 4?

6. Substitute: 2(3²) − 3(4) = 2(9) − 12 = 18 − 12 = 6.

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Algebra & Functions – Praxis Core Math Prep

Master Algebra & Functions for the Praxis Core Teaching Exam with 32 targeted flashcards. Topics include solving equations and inequalities, interpreting functions, working with expressions, and analyzing patterns. Ideal for teacher candidates building core math competency.

33 cards Intermediate Expressions & Operations Solving Equations & Inequalities Functions & Their Properties Linear Relationships & Graphs Patterns & Algebraic Reasoning

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