Factoring Skills Quiz

Which expression is equivalent to 5x² - 15x?

• 5(x² - 3x)

• 5x(x - 3)

• x²(5 - 3x)

• 5x²(1 - 3x)

Tags

CCSS.6.EE.A.4

The area of a rectangle is m² - 225. If one of the dimensions of the rectangle is (m - 15), what is the other dimension?

• (m + 15)

• (m - 15)

• (m - 15)²

• (m² + 15)

Which of the following is factorable as a difference of two squares?

• 100k² - 196

• 25v² - 36v

• 49h² + 9

• 16n² - 72

Tags

CCSS.HSA.APR.C.4

Which expression is equivalent to (d² + 4d - 21)?

• (d + 3)(d + 7)

• (d - 3)(d - 7)

• (d + 2)(d + 2)

• (d - 3)(d + 7)

Which expression is a factor of (24b² - 60b)?

• 12b

• 12b²

• 24b

• (b - 5)

A rectangular wall is being covered by wallpaper. The area of the wall is (2x² + x - 45) square meters. If the length of the wall is (x + 5) meters, what is the width of the wall?

• (2x + 9)

• (2x - 9)

• (x + 9)

• (x - 9)

Which of the following is the greatest common factor of the terms 45c⁷d³f⁵ and 63c³d⁵f²?

• 5cdf

• 9c³d³f²

• 9cdf

• 9c²d²f²

Which of the following cannot be factored as a difference of two squares?

• 4x² – 25

• w² – 121

• 9p² – 16

• 2b² – 100

Tags

CCSS.HSA.APR.C.4

Which expression is a factor of r² + 13r – 36?

• r – 6

• r + 10

• 6r

• None of the above.

Tags

CCSS.HSA.APR.B.2

Which expression is a factor of 6x² – 29x + 35?

• (2x + 5)

• (3x – 7)

• (2x – 7)

• (3x +5)