1st Summative test in Math 8

What is the Greatest Common Factor (GCF) of 12 and 36?

• 2

• 4

• 6

• 12

What is the GCF of 𝑥 ² and 𝑥 ⁹ ?

• 𝑥 ²

• 𝑥 ⁷

• 𝑥 ¹¹

• 𝑥 ¹⁸

What are the complete factors of the polynomial 3𝑥 − 3?

• 3(𝑥 − 1)

• 3(1 − 𝑥)

• 3𝑥 – 1

• 3(𝑥 − 3)

Which of the following pair of numbers has a GCF of 6?

• 2 and 3

• 8 and 12

• 6 and 10

• 12 and 18

What is the GCF of the expression 4x⁴ + 6x?

• 2

• x

• 2x

• 2x⁴

Which of the following is a perfect square?

• 12x⁴

• 16x²y²

• 25x⁵y⁶

• 36x⁶y⁷

Which of the following expressions has factors (2x - y) and (2x + y)?

• 2x² + y²

• 2x² – y²

• 4x² + y²

• 4x² – y²

Using the pattern for factoring the sum of cubes, we know that factoring 8 + 𝑏 ³ gives

• (2 − 𝑏)(4 − 2𝑏 + 𝑏 ² )

• (2 − 𝑏)(4 + 2𝑏 + 𝑏 ² )

• (2 + 𝑏)(4 − 2𝑏 + 𝑏 ² )

• (2 + 𝑏)(4 + 2𝑏 + 𝑏 ² )

What is the complete factored form of 27𝑥³ – 64𝑦³?

• (3x – 4y)(9x² + 12xy + 16y²)

• (3x + 4y)(9x² + 12xy + 16y²)

• (3x – 4y)(9x² - 12xy + 16y²)

• (3x + 4y)(9x² - 12xy + 16y²)

Which of the following is the expanded form of (𝑥 − 5) ²?

• x ² − 25

• x ² − 5x − 25

• x ² − 10x + 25

• x ² + 10x - 25