AnswersMathematics IIExpressions and Equations

Practice Test Answers

16 verified answers
1
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What is the factored form of the polynomial? z squared minus 10 z plus 25

A
open paren z minus 2 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 plus 5 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
2
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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 9 and h is equal to negative 3
B
g is equal to negative 9 and h is equal to 7
C
g is equal to negative 7 and h is equal to 7
D
g is equal to 7 and h is equal to 3
3

Which number is rational?

A
9 point 2 3 1 5 7 ...
B
negative 3 and 1 half
C
square root of 5
D
pi
4

What is the greatest common factor of 4 x y squared and 20 x squared y to the 4th power ?

A
24 x y
B
4 x y
C
24 x y squared
D
4 x y squared
5

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2⁢x3+30⁢x−130. The cost, in dollars, of producing the skateboards can be modeled by 2⁢x3−3⁢x−520. The variable x represents the number of skateboards sold. What expression represents the profit? (Updated)

A
27 x plus 390
B
27 x minus 650
C
33 x minus 650
D
33 x plus 390
6

Arpitha factors out the greatest common factor, 9⁢n, from the terms of the polynomial shown. 162 m cubed n to the 4th power plus 45 n is equal to 9 n open paren underline plus 5 close paren What is the missing term in the factored expression?

A
16 m cubed n to the 4th power
B
16 m cubed n cubed
C
18 m cubed n to the 4th power
D
18 m cubed n cubed
7

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10 x cubed plus 3 x squared minus 20 x minus 6 open paren 10 x cubed plus 3 x squared close paren plus open paren negative 20 x minus 6 close paren

A
2 x squared and negative 2 x
B
x squared and negative 2 x
C
x squared and negative 2
D
2 x squared and negative 2
8

Which of the following expresses 2 point repeating 4 as a fraction in simplest form?

A
2 and 11 over 25
B
2 and 2 fifths
C
2 and 4 ninths
D
2 and 1 fourth
9

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 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'
B
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'
C
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'
D
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'
10

The equation absolute value of p is equal to 2 represents the total number of points that can be earned or lost during one turn of a game. Which best describes how many points can be earned or lost during one turn?

A
2
B
negative 2 or 2
C
negative 2
D
0 or 2
11

Which values are solutions to the fraction with numerator k minus 3 and denominator 4 is greater than negative 2 ? Choose two correct answers.

A
k is equal to negative 10
B
k is equal to negative 5
C
k is equal to negative 7
D
k is equal to negative 1
E
k is equal to 0
12

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 4 x y plus 3
C
7 y squared plus 8 x y plus 3
D
7 y squared plus 8 x y minus 3
13

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

Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses 1 fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x , the number of washes after which 24 ounces will remain in the bottle?

A
1 fourth x minus 60 is equal to 24
B
60 minus 1 fourth x is equal to 24
C
1 fourth x minus 24 is equal to 60
D
24 minus 1 fourth x is equal to 60
15

A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20 -pound bags of sand b can also be carried by the hot air balloon? Choose three correct answers.

A
8
B
negative 2
C
5
D
0
E
10
16

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 plus open paren 9 x minus 33 close paren .
B
Marisol should realize that her work shows that the polynomial is prime.
C
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 .
D
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 .

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