AnswersAlgebra IIPolynomial Operations

Practice Test Answers

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1
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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
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
B
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents 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.
2
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Which expression is equivalent to 4 minus open paren 2 m minus 3 close paren ?

A
negative 8 m plus 12
B
4 minus 2 m minus 3
C
negative 8 m plus 3
D
4 minus 2 m plus 3
3

Which expression is equivalent to open paren 2 g cubed plus 4 close paren squared ?

A
4 6th power of g plus 16 g cubed plus 16
B
4 6th power of g plus 8
C
4 9th power of g plus 16 g cubed plus 8
D
4 6th power of g plus 16
4

What is the ninth term in the binomial expansion of open paren x minus 2 y close paren to the 13th power ?

A
329 comma 472 x to the 5th power y to the 8th power
B
negative 329 comma 472 x to the 5th power y to the 8th power
C
negative 41 comma 184 x to the 8th power y to the 5th power
D
41 comma 184 x to the 8th power y to the 5th power
5

Which monomial is a perfect cube?

A
8 x to the 8th power
B
1 x to the 10th power
C
9 x to the 9th power
D
27 x to the 15th power
6

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

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

What is the cube root of negative 729 A to the 9th power b to the 6th power ?

A
negative 9 A squared b cubed
B
negative 9 A cubed b squared
C
negative 8 A cubed b squared
D
negative 8 A squared b cubed
8

What is the completely factored form of 12 x y minus 9 x minus 8 y plus 6 ?

A
negative 6 x open paren 4 y minus 3 close paren open paren 4 y minus 3 close paren
B
3 x open paren 4 y minus 3 close paren minus 2 times open paren 4 y plus 3 close paren
C
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren
D
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren times open paren 4 y minus 3 close paren
9

Which expression is equivalent to 9 x minus open paren x minus 8 close paren times open paren x plus 1 close paren plus 10 x ?

A
8 x squared plus 10 x plus 8
B
negative x squared plus 19 x plus 8
C
8 x squared plus 26 x plus 8
D
negative x squared plus 26 x plus 8
10

Which expression is equivalent to open paren 4 x cubed y to the 5th power close paren times open paren 3 x to the 5th power y close paren squared ?

A
36 x to the 13th power y to the 7th power
B
144 x to the 16th power y to the 12th power
C
36 x to the 28th power y to the 6th power
D
24 x to the 13th power y to the 7th power
11

Which expression is a difference of cubes?

A
x to the 8th power minus 8
B
x to the 6th power minus 6
C
x to the 6th power minus 8
D
x to the 8th power minus 6
13

What is the completely factored form of 6 x squared minus 13 x minus 5 ?

A
open paren 2 x minus 1 close paren times open paren 3 x minus 5 close paren
B
open paren 2 x plus 5 close paren times open paren 3 x minus 1 close paren
C
open paren 2 x plus 1 close paren times open paren 3 x plus 5 close paren
D
open paren 2 x minus 5 close paren times open paren 3 x plus 1 close paren
14

Subtract 15 m n minus 22 m plus 2 n from 14 m n minus 12 m plus 7 n

A
negative m n minus 34 m plus 9 n
B
negative m n plus 10 m plus 5 n
C
negative m n minus 34 m plus 5 n
D
29 m n minus 34 m plus 9 n
16

Which polynomial is in standard form?

A
2 x minus 8 x to the 4th power plus 16 x to the 5th power
B
negative 7 x to the 7th power plus 9 x to the 9th power minus 11 x
C
15 x minus 6 x squared plus 3
D
negative 16 x squared minus 9 x plus 12
17

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
18

Which expression shows the sum of the polynomials with like terms grouped together? open paren 8 x plus 3 z minus 8 z squared close paren plus open paren 4 y minus 5 z close paren

A
open bracket 8 x plus 4 y plus open paren negative 8 z squared close paren close bracket plus 3 z plus open paren negative 5 z close paren
B
8 x plus 4 y plus open paren negative 8 z squared close paren plus open bracket 3 z plus open paren negative 5 z close paren close bracket
C
8 x plus 4 y plus open bracket 3 z plus open paren negative 8 z squared close paren plus open paren negative 5 z close paren close bracket
D
open bracket 8 x plus open paren negative 8 z squared close paren close bracket plus 4 y plus open bracket 3 z plus open paren negative 5 z close paren close bracket

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