Polynomial Expressions — Test Answers

25 verified answers
1
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Which is the product?

A
6 p cubed plus 23 p squared minus 9 p plus 28
B
6 p cubed minus 23 p squared plus 9 p plus 28
C
6 p cubed minus 23 p squared minus 9 p plus 28
D
6 p cubed plus 23 p squared plus 9 p plus 28
2
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Which product should Tomas choose?

A
open paren 2 x plus y close paren times open paren 4 x squared minus 2 x y plus y squared close paren
B
open paren 2 x plus y close paren times open paren 4 x squared plus 2 x y minus y squared close paren
C
open paren 2 x plus y close paren times open paren 2 x squared plus 2 x y minus y squared close paren
D
open paren 2 x plus y close paren times open paren 2 x squared minus 2 x y plus y squared close paren
3

Which expression represents the total perimeter of her sandwich, and if x is equal to 1 point 2 , what is the approximate length of the crust?

A
8 x squared plus 34 ; 45 point 5 2 centimeters
B
8 x squared plus 34 ; 43 point 6 centimeters
C
4 x squared plus 17 ; 22 point 7 6 centimeters
D
4 x squared plus 17 ; 21 point 8 centimeters
4

Which polynomial is the correct product?

A
6 y cubed plus 17 y squared plus 22 y plus 25
B
6 y cubed plus 17 y squared plus 22 y plus 15
C
6 y cubed plus 20 y squared plus 22 y plus 15
D
15 y cubed plus 17 y squared plus 22 y plus 15
5

Which change can be made to correct the chart?

A
The expression 3 x cubed should be 3 x squared .
B
The expression 6 x should be 6 x y .
C
The expression 4 y should be 4 y squared .
D
The expression x squared y should be x squared y squared .
6

What is the product?

A
y cubed minus 27
B
y cubed minus 6 y squared plus 27
C
y cubed plus 6 y squared plus 27
D
y cubed plus 27
7

Which simplified expression represents the area of the parallelogram?

A
negative 4 x cubed minus 14 x plus 24 square centimeters
B
negative 4 x cubed plus 14 x minus 24 square centimeters
C
2 x cubed minus 6 x squared minus 14 x plus 24 square centimeters
D
2 x cubed plus 6 x squared plus 14 x plus 24 square centimeters
8

Which is a possible next step?

A
Simplify the expression by adding and subtracting from left to right.
B
Combine all x -terms.
C
Distribute the 3 to each term in the parentheses by multiplying.
D
Combine like terms within the parentheses.
9

Zohar is using scissors to cut a rectangle with a length of 5 x minus 2 and a width of 3 x plus 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x is equal to 4 ?

A
open paren 5 x minus 2 close paren plus open paren 3 x plus 1 close paren ; 36 centimeters
B
open paren 5 x minus 2 close paren plus open paren 3 x plus 1 close paren ; 31 centimeters
C
2 times open paren 5 x minus 2 close paren plus 2 times open paren 3 x plus 1 close paren ; 62 centimeters
D
2 times open paren 5 x minus 2 close paren plus 2 times open paren 3 x plus 1 close paren ; 70 centimeters
10

What is the product of open paren 2 p plus 7 close paren times open paren 3 p squared plus 4 p minus 3 close paren ?

A
6 p cubed plus 29 p squared plus 22 p minus 21
B
6 p cubed plus 29 p squared minus 34 p plus 21
C
6 p cubed plus 29 p squared plus 34 p minus 21
D
6 p cubed plus 29 p squared minus 22 p plus 21
12

Simplify the expression negative 2 times open paren p plus 4 close paren squared minus 3 plus 5 p What is the simplified expression in standard form?

A
negative 2 p squared plus 13 p plus 13
B
2 p squared plus 21 p plus 29
C
4 p squared plus 37 p minus 67
D
negative 2 p squared minus 11 p minus 35
13

Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24 A squared minus 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?

A
6 times open paren 8 A squared minus 9 close paren
B
6 times open paren 4 A squared minus 3 close paren
C
6 A open paren 18 A minus 12 close paren
D
6 A open paren 12 A minus 9 close paren
15

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60 x squared plus 48 x plus 24 ounces. Which factorization could represent the number of water bottles and weight of each water bottle?

A
12 times open paren 5 x squared plus 4 x plus 2 close paren
B
12 x open paren 5 x squared plus 4 x plus 2 close paren
C
6 times open paren 10 x squared plus 8 x plus 2 close paren
D
6 x open paren 10 x squared plus 8 x plus 2 close paren
18

The volume of a prism is the product of its height and area of its base, cap v is equal to cap b h A rectangular prism has a volume of 16 y to the 4th power plus 16 y cubed plus 48 y squared cubic units. Which could be the base area and height of the prism?

A
a base area of 12 y square units and height of 4 y squared plus 4 y plus 36 units
B
a base area of 16 y squared square units and height of y squared plus y plus 3 units
C
a base area of 4 y square units and height of 4 y squared plus 4 y plus 12 units
D
a base area of 8 y squared square units and height of y squared plus 2 y plus 4 units
20

What is the difference of the polynomials? open paren 8 r to the 6th power s cubed minus 9 r to the 5th power s to the 4th power plus 3 r to the 4th power s to the 5th power close paren minus open paren 2 r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power minus 4 r to the 5th power s to the 4th power close paren

A
8 r to the 6th power s cubed minus 5 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power plus 5 r cubed s to the 6th power
B
6 r to the 6th power s cubed minus 4 r to the 5th power s to the 4th power plus 7 r to the 4th power s to the 5th power
C
6 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power minus r to the 4th power s to the 5th power
D
8 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power

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