Expansion and Factorisation Checkpoint

Which of the following expressions cannot be factored?

• x² – 4x + 4
• x² – y²
• x² + 4x + 4
• x² + y²

Tags

CCSS.HSA.APR.C.4

Find the product of 15c and 4c².

• 19c²
• 19c³
• 60c²
• 60c³

Which of the following expressions is equivalent to x² – 4y²?

• (x + 2)(x – 2)
• (x – 2y)²
• (x + 2y)(x – 2y)
• (x + 2y)²

Tags

CCSS.HSA.APR.C.4

Factor: x² - 7x - 12 

• (x + 4)(x + 3)
• (x + 4)(x – 3)
• 3x² – 4x + 7
• Not factorable

Factor: a² – 196

• (a + 13)(a – 13)
• (a – 13)²
• (a + 14)(a – 14)
• (a – 14)²

If (a + b)² = 65 and ab = 29, find the value of a² + b².

• 7
• 8
• 9
• 10

Expand and simplify: (4x + 3)(5x + 6)

• 20x² + 39x + 18
• 20x² + 9x + 18
• 20x² + 18
• 20x² – 18 

Tags

CCSS.HSA.APR.A.1

The area of a rectangle is (16x² – 25y²) cm². Given that its length is (4x + 5y) cm, find its breadth.

• (4x – 5y) cm
• (4x + 5y) cm
• (5x – 4y) cm
• (5x + 4y) cm

If x² – y² = 12 and x – y = 3, find the value of (x + y)².

• 4
• 16
• 36
• 64

Factor: 8xv – 6vw + 15wz – 20xz

• (3w – 4x)(5z – 2v)
• (5w – 4x)(3z – 2v)
• (4x – 3w)(5z – 2v)
• (2w – 3x)(5z – 4v)