Algebra 1 Homework Review Quiz

What is the expanded form of (a + b)^2?

• a^2 + ab + b^2

• a^2 - 2ab + b^2

• a^2 + 2ab + b^2

• a^2 + b^2

If n = 3 and b = 4, what is the result of (n + b)^2?

• n^2 + 8n + 16

• n^2 + 6n + 16

• 9n^2 + 12n + 16

• 9n^2 + 24n + 16

Which of the following is a common mistake when expanding (3m + 4)^2?

• Forgetting to square the 4

• Forgetting to multiply by 2

• Forgetting to square the 3

• Forgetting to add the terms

What is the formula for the square of a difference (a - b)^2?

• a^2 + ab - b^2

• a^2 - 2ab + b^2

• a^2 - ab + b^2

• a^2 + 2ab + b^2

Calculate (x - 10)^2.

• x^2 + 20x + 100

• x^2 - 20x + 100

• x^2 - 10x + 100

• x^2 - 20x - 100

What is the result of (5w - 4)^2?

• 25w^2 + 40w + 16

• 25w^2 - 40w + 16

• 25w^2 - 40w - 16

• 25w^2 - 20w + 16

What is the expanded form of (z + 13)(z - 13)?

• z^2 - 169

• z^2 + 26z - 169

• z^2 - 26z + 169

• z^2 + 169

Which rule explains why the middle terms cancel out in (a + b)(a - b)?

• Square of a Difference

• Square of a Sum

• Difference of Squares

• Product of a Sum and Difference

What is the result of (7k + 3)(7k - 3)?

• 49k^2 - 21k + 9

• 49k^2 + 21k - 9

• 49k^2 - 9

• 49k^2 + 9

What is the expanded form of (3g + 9h)(3g - 9h)?

• 9g^2 + 81h^2

• 9g^2 - 27gh + 81h^2

• 9g^2 - 81h^2

• 9g^2 + 27gh - 81h^2