AnswersAlgebra 1Polynomial Expressions

Practice Test Answers

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

What is the polynomial 3 y squared plus open paren y plus 7 close paren squared minus 15 after it has been fully simplified and written in standard form?

A
3 y squared plus y plus 34
B
4 y squared plus 34
C
4 y squared plus 14 y plus 34
D
4 y to the 4th power plus 34
5

What is the factored form of the polynomial? z squared minus 10 z plus 25

A
open paren z plus 5 close paren times open paren z plus 5 close paren
B
open paren z plus 2 close paren times open paren z minus 5 close paren
C
open paren z minus 2 close paren times open paren z plus 5 close paren
D
open paren z minus 5 close paren times open paren z minus 5 close paren
6

Which is true about the polynomial y squared minus 3 y plus 12 ?

A
It is a trinomial with a degree of 2 .
B
It is a binomial with a degree of 2 .
C
It is a trinomial with a degree of 3 .
D
It is a binomial with a degree of 3 .
9

The polynomial 8 x squared minus 8 x plus 2 minus 5 plus x is simplified to 8 x squared minus g x minus h What are the value of g and h ?

A
g is equal to negative 7 and h is equal to 7
B
g is equal to 7 and h is equal to 3
C
g is equal to 9 and h is equal to negative 3
D
g is equal to negative 9 and h is equal to 7
10

Which diagram represents the factors of m squared minus 10 m plus 16 ?

A
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 8' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 8 m' Row 3: Column 1, '2'; Column 2, '2 m'; Column 3, '16'
B
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 4' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 4 m' Row 3: Column 1, 'negative 6'; Column 2, 'negative 6 m'; Column 3, '16'
C
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 2' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 2 m' Row 3: Column 1, 'negative 8'; Column 2, 'negative 8 m'; Column 3, '16'
D
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 6' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 6 m' Row 3: Column 1, '4'; Column 2, '4 m'; Column 3, '16'
11

What is the value of cap x ?

A
1 over 3 b
B
1 over 27 b
C
3
D
27
12

If the volume of the prism is represented by 15 x squared plus x plus 2 and the height is x squared , which expression represents cap b , the area of the base?

A
15 x plus 1 over x plus the fraction with numerator 2 and denominator x squared
B
15 plus 1 over x plus the fraction with numerator 2 and denominator x squared
C
15 x plus 1 over x plus the fraction with numerator x squared and denominator 2
D
15 plus 1 over x plus the fraction with numerator x squared and denominator 2
13

Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

A
Omar should factor out a negative from one of the groups so the binomials will be the same.
B
Omar should realize that his work shows that the polynomial is prime.
C
Omar should go back and regroup the terms in Step 1 as open paren 3 x cubed minus 15 x squared close paren minus open paren 4 x plus 20 close paren .
D
In Step 2, Omar should factor only out of the first expression.
14

Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?

A
Marisol should go back and group the terms in Step 1 as open paren 6 x cubed minus 22 x squared close paren minus open paren 9 x minus 33 close paren .
B
Marisol should refactor the expression in Step 2 as 2 x squared open paren 3 x plus 11 close paren minus 3 times open paren 3 x plus 11 close paren .
C
Marisol should go back and group the terms in Step 1 as open paren 6 x cubed minus 22 x squared close paren plus open paren 9 x minus 33 close paren .
D
Marisol should realize that her work shows that the polynomial is prime.

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