AnswersDHS Algebra 2 VTest

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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)
2
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How could Brent use a rectangle to model the factors of x2 – 7x + 6?

A
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
B
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
C
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
D
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
3

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model.

Question illustration
A
x2 + 4x – 12
B
x2 + 2x – 6
C
x2 – 8x – 6
D
x2 – 4x – 12
4

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

A
y – 20
B
y – 14
C
y – 8
D
y – 6
5

Which binomial is a factor of 9x2 – 64?

A
3x – 8
B
9x – 32
C
3x + 32
D
9x + 8
6

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
7

Which expression is equivalent to ?

Question illustration
A
6x3
B
6x9
C
72x3
D
72x9
8

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.
9

Which is a factor of x2 + 8x – 48?

A
(x – 6)
B
(x + 4)
C
(x – 16)
D
(x + 12)
10

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

A
2x + 5
B
2x − 5
C
x2 − 2
D
x2 + 2
11

Which is the completely factored form of 4x2 + 28x + 49?

A
(x + 7)(4x + 7)
B
4(x + 7)(x + 7)
C
(2x + 7)(2x + 7)
D
2(x + 7)(x + 7)
12

Which monomial is a perfect cube?

A
16x6
B
27x8
C
32x12
D
64x6
13

The model represents a polynomial of the form ax2 + bx + c.

Question illustration
A
3x2 – 4x – 1 = (3x + 1)(x – 1)
B
3x2 – 2x – 1 = (3x – 1)(x + 1)
C
3x2 – 4x + 1 = (3x – 1)(x – 1)
D
3x2 – 2x + 1 = (3x – 1)(x – 1)
14

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

A
6 in.
B
9 in.
C
12 in.
D
36 in.
15

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

A
x = –7 or x = 6
B
x = –7 or x = –6
C
x = –6 or x = 7
D
x = 6 or x = 7
16

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

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
17

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

A
(3 – 7x)(x2 – 3)
B
(7x – 3)(3 + x2)
C
(3 – 7x2)(x – 3)
D
(7x2 – 3)(3 + x)
18

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

A
8
B
8xy
C
320
D
320xy
19

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
20

Which monomials are perfect squares? Select three options.

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

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