Common Core HSA.APR.A.1 worksheet

Question 1

Expand and simplify: (x − 2)(x + 3)(x − 4)

Answer 

Question 2

Expand and simplify: (3x + 3)(x² − 2x + 5)

Answer 

Question 3

Simplify: (4x² + 9x + 4) − (3x − 4)

Answer 

Question 4

Find dy/dx when y = (x + 2)(x + 1).

Answer 

Question 5

Ava expanded −5x(2x − 5) and got −10x² − 25x. What should the answer be?

• A. 10x² − 25x
• B. −10x² − 5
• C. −10x + 25
• D. −10x² + 25x

Question 6

Expand and simplify: (2x + 2)(2x + 5)

Answer 

Question 7

Expand and simplify: (x − 3)(x + 5)

Answer 

Question 8

Find the coefficient of x² in (2x − 1)(x + 5)(x − 5).

Answer 

Question 9

Without expanding fully, find the coefficient of x in (x² − 2x + 2)(x² − 5x + 2).

Answer 

Question 10

Find dy/dx when y = (x³ + 3x² + 5x)/x.

Answer 

Question 11

Simplify: (7x²)(5x⁵)

Answer 

Question 12

Expand: (x + 3)²

Answer 

Question 13

Simplify: (6x² + 9x + 7) + (x² + 5)

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Question 14

Expand: (x − 1)³

Answer 

Question 15

Simplify: (−4x⁴y⁴)(5x³y)

Answer 

Question 16

Find the coefficient of x in (−2x³ + 4x − 9) − (6x² + 9x − 1).

Answer