AnswersNY-Algebra I Term 2 HillcrestUnit Test

Unit Test — Unit test Answers

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Which model represents the factors of x2 + 9x + 8?

A
An algebra tile configuration. 7 tiles are in the Factor 1 spot: 1 is labeled + x and 6 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 28 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, 9 are labeled +, and 9 are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x and 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 6 are labeled + x, and 8 are labeled +.
Option B
C
An algebra tile configuration. 6 tiles are in the Factor 1 spot: 1 is labeled + x and 5 are labeled +. 4 tiles are in the Factor 2 spot: 1 is labeled + x and 3 are labeled +. 24 tiles are in the Product spot: 1 is labeled + x squared, 8 are labeled + x, 9 are labeled +, and 6 are labeled negative.
Option C
D
An algebra tile configuration. 9 tiles are in the Factor 1 spot: 1 is labeled + x and 8 are labeled +. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled +. 18 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, and 8 are labeled +.
Option D
2
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What is the factored form of the polynomial?x2 – 16x + 48

A
(x − 4)(x − 12)
B
(x − 6)(x − 8)
C
(x + 4)(x + 12)
D
(x + 6)(x + 8)
3

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)
4

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

A
8
B
8xy
C
320
D
320xy
5

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.
6

Which are factors of x2 – 4x – 5? Select two options.

A
(x – 5)
B
(x – 4)
C
(x – 2)
D
(x + 1)
E
(x + 5)
7

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
8

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
9

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
10

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)
11

Which expression is equivalent to 6x2 – 19x – 55?

A
(2x – 11)(3x + 5)
B
(2x + 11)(3x – 5)
C
(6x – 11)(x + 5)
D
(6x + 11)(x – 5)
12

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
13

Which algebraic expression is a polynomial with a degree of 4?

A
5x4 +
Option A
B
x5 – 6x4 + 14x3 + x2
C
9x4 – x3 –
Option C
D
2x4 – 6x4 +
Option D
14

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

A
–2p2 – 11p – 35
B
2p2 + 21p + 29
C
–2p2 + 13p + 13
D
4p2 + 37p – 67
15

Which is true about the polynomial –3xy2 + 5x2y?

A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
16

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

A
(x2 – 7)(x – 5)
B
(x2 – 7)(x + 5)
C
(x2 – 5)(x – 7)
D
(x2 + 5)(x – 7)
17

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
18

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

A
2x
B
2x2
C
4x
D
4x2
19

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Question illustration
A
–4x3 + 14x – 24 square centimeters
B
2x3 – 6x2 – 14x + 24 square centimeters
C
–4x3 – 14x + 24 square centimeters
D
2x3 + 6x2 + 14x + 24 square centimeters
20

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

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