AnswersCISD TX-Algebra I B Credit Recovery Nov 2025Unit Test

Unit Test — Unit test Answers

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1
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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
2
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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
3

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

A
x2(4x + 1) – 2(4x + 1)
B
x2(4x – 1) + 2(4x – 1)
C
4x2(x + 2) – 1(x + 2)
D
4x2(x – 2) – 1(x – 2)
4

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)
5

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

A
8
B
8xy
C
320
D
320xy
6

Which are factors of x2 – 4x – 5? Select two options.(x – 5)(x – 4)(x – 2)(x + 1)(x + 5)

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

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
8

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)
9

Which is a factor of x2 + 8x – 48?

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

Which monomials are perfect squares? Select three options.6x29x817x925x1236x16

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

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.

Question illustration
A
4x + 5
B
4x – 5
C
8x + 5
D
8x – 5
12

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)
13

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.
14

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.
15

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)
16

Which binomial is a factor of 9x2 – 64?

A
3x – 8
B
9x – 32
C
3x + 32
D
9x + 8
17

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
18

Which terms could have a greatest common factor of 5m2n2? Select two options.m5n55m4n310m4n15m2n224m3n4

A
m5n5
B
5m4n3
C
10m4n
D
15m2n2
E
24m3n4
19

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)
20

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)

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