AnswersAISD Algebra I-B Credit Recovery 2026-2027Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?36h3, 12h6, __________

A
6h3
B
12h2
C
30h4
D
48h5
22
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Which is the solution of the quadratic equation (4y – 3)2 = 72?

A
y = and y =
Option A
B
y = and y =
Option B
C
y = and y =
Option C
D
y = and y =
Option D
23

The graph of which function has an axis of symmetry at x = ?

Question illustration
A
f(x) = 2x2 + x – 1
B
f(x) = 2x2 – x + 1
C
f(x) = x2 + 2x – 1
D
f(x) = x2 – 2x + 1
24

What is the discriminant of the quadratic equation 2x + 5x2 = 1?

A
–18
B
–16
C
22
D
24
25

Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

A
4 inches by 4 inches
B
6 inches by 6 inches
C
10 inches by 10 inches
D
12 inches by 12 inches
26

Which is the simplified form of the expression ?

Question illustration
A
StartFraction 1 Over 2 Superscript 36 Baseline 3 Superscript 48 Baseline EndFraction
Option A
B
StartFraction 1 Over 3 Superscript 8 Baseline EndFraction
Option B
C
3 Superscript 8
Option C
D
2 Superscript 36 Baseline 3 Superscript 48
Option D
27

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary.Quadratic formula: x =

Question illustration
A
–5.7
B
–4
C
–1
D
–0.7
28

A rectangle with an area of x2 – 4x – 12 square units is represented by the model.

Question illustration
A
(x + 2) and (x – 6)
B
(x + 6) and (x – 2)
C
(x + 2) and (x – 10)
D
(x + 10) and (x – 2)
29

What is the factored form of x2 – 6x – 16?

A
(x – 4)(x – 2)
B
(x + 4)(x – 2)
C
(x – 2)(x + 8)
D
(x – 8)(x + 2)
30

A perfect square trinomial can be represented by a square model with equivalent length and width. Which polynomial can be represented by a perfect square model?

A
x2 – 6x + 9
B
x2 – 2x + 4
C
x2 + 5x + 10
D
x2 + 4x + 16
31

For what values of x is x2-36=5x true?

A
-9 and -4
B
-4 and 9
C
4 and -9
D
9 and 4
32

Which is the value of this expression when and ?

Question illustration
A
Negative 720
Option A
B
Negative 360
Option B
C
360
D
720
33

What are the solutions to the quadratic equation 3(x − 4)2 = 75?

A
x = −9 and x = 1
B
x = −5 and x = 5
C
x = −4 and x = 4
D
x = −1 and x = 9
34

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.What are the solutions to the equation?

Question illustration
A
x = –1, 6
B
x = –6, 1
C
x = –22, 27
D
x = –27, 22
35

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Question illustration
A
2 negative unit tiles
B
2 positive unit tiles
C
5 negative unit tiles
D
5 positive unit tiles
36

Which statement is true about the prime polynomial 2x2 + 3x + 3?

A
It cannot be modeled with a rectangle.
B
It can be modeled with a square.
C
It cannot be modeled with all positive tiles.
D
It can only be modeled with an odd number of tiles.
37

The graph of which function has a y-intercept of 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).
Option D
38

Which is the value of this expression when and ?

Question illustration
A
–64
B
Negative one-half
Option B
C
One-half
Option C
D
64
39

Which function has a range of {y|y ≤ 5}?

A
f(x) = (x – 4)2 + 5
B
f(x) = –(x – 4)2 + 5
C
f(x) = (x – 5)2 + 4
D
f(x) = –(x – 5)2 + 4
40

Some of the steps in the derivation of the quadratic formula are shown.Step 4: Step 5: Step 6: Step 7:

Question illustration
A
Negative values, like −4ac, do not have a square root.
B
The ± symbol prevents the square root from being evaluated.
C
The square root of terms separated by addition and subtraction cannot be calculated individually.
D
The entire term b2 − 4ac must be divided by 2a before its square root can be determined.

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