AnswersAlgebra Concepts and ConnectionsModeling and Analyzing Quadratic Functions: Part One

Practice Test Answers

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1
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Which monomial is a perfect cube?

A
27 x to the 15th power
B
9 x to the 9th power
C
8 x to the 8th power
D
1 x to the 10th power
3

What is the difference of the two polynomials? open paren 7 y squared plus 6 x y close paren minus open paren negative 2 x y plus 3 close paren

A
7 y squared plus 8 x y plus 3
B
7 y squared plus 8 x y minus 3
C
7 y squared plus 4 x y minus 3
D
7 y squared plus 4 x y plus 3
4

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

A
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
B
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
C
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
D
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
5

The model represents a perfect square monomial. Open image in full-screen view What equation is represented by the model?

A
open paren 4 x squared close paren squared is equal to 8 x to the 8th power
B
2 x squared is equal to 4 x squared
C
open paren 2 x squared close paren squared is equal to 4 x to the 4th power
D
4 x squared is equal to 8 x squared
7

What is the product? open paren x plus 3 close paren times open paren 2 x minus 1 close paren

A
2 x squared plus 6 x
B
2 x squared plus 5 x minus 3
C
2 x squared minus 3
D
2 x squared plus 6 x minus 3
9

Which expression is equivalent to 64 minus 9 x squared ?

A
8 squared minus 3 x squared
B
8 squared plus open paren negative 3 x close paren squared
C
32 squared minus 3 x squared
D
32 squared plus open paren negative 3 x close paren squared
10

Which is equivalent to open paren negative 2 m plus 5 n close paren squared , and what type of special product is it?

A
4 m squared plus 25 n squared ; the difference of squares
B
4 m squared minus 20 m n plus 25 n squared ; the difference of squares
C
4 m squared plus 25 n squared ; a perfect square trinomial
D
4 m squared minus 20 m n plus 25 n squared ; a perfect square trinomial

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Practice Test Answers — Algebra Concepts and…