Analyzing Graphs — Unit test Answers

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What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

A
6r6s3 – 4r5s4 + 7r4s5
B
6r6s3 – 13r5s4 – r4s5
C
8r6s3 – 5r5s4 + r4s5 + 5r3s6
D
8r6s3 – 13r5s4 + r4s5 – 5r3s6
2
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Which expression is equivalent to ?

Question illustration
A
6x3
B
6x9
C
72x3
D
72x9
3

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

A
x + 4
B
x + 40
C
3x + 13
D
3x + 43
4

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

A
The side length was increased by 5.
B
The side length was multiplied by 5.
C
The side length was increased by 10.
D
The side length was multiplied by 10.
5

Which expression is equivalent to ?

Question illustration
A
5x3y3z
B
5x2y5z
C
25x2y3z
D
25x2y5z
6

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

A
20x−50; $500
B
20x−50; $1,450
C
20x+50; $1,550
D
20x+50; $5,250
7

Which will result in a difference of squares?

A
(negative 7 x + 4)(negative 7 x + 4)
Option A
B
(negative 7 x + 4)(4 minus 7 x)
Option B
C
(negative 7 x + 4)(negative 7 x minus 4)
Option C
D
(negative 7 x + 4)(7 x minus 4)
Option D
8

Adi used algebra tiles to represent the product .

Question illustration
A
She used the algebra tiles correctly.
B
She did not represent the two original factors correctly on the headers.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
9

Which terms could have a greatest common factor of 5m2n2? Select two options.

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
10

Which monomials are perfect squares? Select three options.

A
6x2
B
9x8
C
17x9
D
25x12
E
36x16
11

What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?

A
3x
B
3x2
C
6x2
D
6x4
12

Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

A
4(3x2 – 1)(x – 5)
B
4x(3x2 + 1)(x – 5)
C
4x(3x2 – 1)(x + 5)
D
4(3x2 + 1)(x – 5)
13

Tyrone factored the polynomial completely. What is the value of B?12x4+30x3+4x2+10xAx(Bx2+1)(2x+5)

A
2
B
3
C
5
D
6
14

The diagram represents a difference of squares.

Question illustration
A
(m – 2)(m + 18)
B
(m – 3)(m + 3)
C
(m – 4)(m + 9)
D
(m – 6)(m + 6)
15

The table represents the multiplication of two binomials.

Question illustration
A
A and B
B
B and C
C
A and D
D
B and D
16

What is the greatest common factor of 8x and 40y?

A
8
B
8xy
C
320
D
320xy
17

The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

A
2x2(20 – 32x + 25x2)
B
2(8x2 – 13x +10)
C
5x2(8x2 – 13x + 10)
D
5(3x2 – 8x + 5)
18

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

A
3x – 260
B
3x + 140
C
5x – 260
D
5x + 140
19

What is the greatest common factor of the terms in the polynomial 8x4 – 4x3 – 18x2?

A
2x
B
2x2
C
4x
D
4x2
20

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 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 = 4?

A
(5x−2)+(3x+1); 31 centimeters
B
(5x−2)+(3x+1); 36 centimeters
C
2(5x−2)+2(3x+1); 62 centimeters
D
2(5x−2)+2(3x+1); 70 centimeters

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