Grade 9 · Algebra & functions

Common factor factoring (SAT) practice

Common factor factoring (SAT) is a grade 9 math skill aligned to Common Core standard HSA.SSE.A.2: use the structure of an expression to identify ways to rewrite it. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 common factor factoring (sat) problems our math games drill.

CCSS HSA.SSE.A.210 questions in the bank

Sample questions

Try 8 for free

Question 1easy

Which expression is equivalent to $10x^2 - 15x$ ?

The greatest common factor of $10x^2$ and $15x$ is $5x$ . Factoring gives $5x(2x - 3)$ .

Question 2easy

Which expression is equivalent to $5x^2 + 10x$ ?

The greatest common factor of $5x^2$ and $10x$ is $5x$ . Factoring gives $5x(x + 2)$ .

Question 3easy

Which expression is equivalent to $9x^2 - 6x$ ?

The greatest common factor of $9x^2$ and $6x$ is $3x$ . Factoring gives $3x(3x - 2)$ .

Question 4medium

Which expression is equivalent to $12x^2 + 8x$ ?

The greatest common factor of $12x^2$ and $8x$ is $4x$ . Factoring gives $4x(3x + 2)$ .

Question 5medium

Which expression is equivalent to $14x^2 + 21x$ ?

The greatest common factor of $14x^2$ and $21x$ is $7x$ . Factoring gives $7x(2x + 3)$ .

Question 6medium

Which expression is equivalent to $18x^3 + 12x^2$ ?

The greatest common factor of $18x^3$ and $12x^2$ is $6x^2$ . Factoring gives $6x^2(3x + 2)$ .

Question 7medium

Which expression is equivalent to $20x^2 - 30x$ ?

The greatest common factor of $20x^2$ and $30x$ is $10x$ . Factoring gives $10x(2x - 3)$ .

Question 8medium

Which expression is equivalent to $16x^3 + 24x^2 - 8x$ ?

The greatest common factor of $16x^3$ , $24x^2$ , and $8x$ is $8x$ . Factoring gives $8x(2x^2 + 3x - 1)$ .

Tests that cover common factor factoring (sat):

SAT PSAT 8/9 SBAC NY State Math MCAP

More Grade 9 skills:

Interpreting data displays Absolute value equations Compound inequality situations Conditional probability Problem solving in context (SAT)Discriminant analysis Statistics basics Equivalent rational expressions (SAT)All Grade 9 practice →

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