Common factor factoring Practice Questions (Grade 9)

Common factor factoring (SAT). Game on.

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.

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Warm-upeasy

Which is the completely factored form of $10x^{2} - 15x$ ?

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

Mid-gameeasy

Which is the completely factored form of $5x^{2} + 10x$ ?

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

Mid-gameeasy

Which is the completely factored form of $9x^{2} - 6x$ ?

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

Mid-gamemedium

Which is the completely factored form of $12x^{2} + 8x$ ?

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

Mid-gamemedium

Which is the completely factored form of $14x^{2} + 21x$ ?

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

Mid-gamemedium

Which is the completely factored form of $18x^{3} + 12x^{2}$ ?

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

Mid-gamemedium

Which is the completely factored form of $20x^{2} - 30x$ ?

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

Buzzer beatermedium

Which is the completely factored form of $16x^{3} + 24x^{2} - 8x$ ?

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

Common factor factoring (SAT). Game on.

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