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

Cumulative Exam — Cumulative exam Answers

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1
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Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
2
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The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
3

Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?

A
0 = –3x – 5 + x2
B
0 = x – 3 – 5x2
C
0 = 3x – 5 – x2
D
0 = –3x + 5 – x2
4

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

A
5 units up
B
5 units down
C
5 units right
D
5 units left
5

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.
6

The first few steps in deriving the quadratic formula are shown.

Question illustration
A
The term is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
Option A
B
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
C
The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Option C
D
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
7

What are the values of a and b in the equation ?

Question illustration
A
a = 2, b = 4
Option A
B
a = negative 2, b = 4
Option B
C
a = negative 2, b = negative 4
Option C
D
a = 2, b = negative 4
Option D
8

The diagram represents the polynomial 4x2 + 23x – 72.

Question illustration
A
(4x + 8)(x – 9)
B
(4x – 8)(x + 9)
C
(4x + 9)(x – 8)
D
(4x – 9)(x + 8)
9

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

A
(0,0)
B
(0,4)
C
(–4,0)
D
(2,0)
10

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

Question illustration
A
The axis of symmetry should be x = –1.
B
The axis of symmetry should be x = 2.
C
The vertex should be a maximum.
D
The vertex should be (–2, 1).
11

What are the factors of 2x2 + 3x – 54? Select two options.

A
2x – 9
B
2x – 6
C
2x + 6
D
x – 6
E
x + 6
12

Which expression is equivalent to 7a2b + 10a2b2 + 14a2b3?

A
ab(7a2 + 10ab + 14b2)
B
a2b(7 + 10b + 14b2)
C
7a2(b + 3b2 + 7b3)
D
7a2b3(b2 + 3b + 7)
13

A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.

A
x2 − 2x − 120 = 0
B
x2 + 2x − 120 = 0
C
x2 − 2x + 120 = 0
D
x2 + 2x + 120 = 0
14

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?

A
linear
B
quadratic
C
square root
D
exponential
15

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?

A
n2 + n – 210 = 0
B
n2 + n – 105 = 0
C
2n2 + 2n + 210 = 0
D
2n2 + 2n + 105 = 0
16

The graph of which function has a minimum located at (4, –3)?

A
f(x) = x2 + 4x – 11
Option A
B
f(x) = –2x2 + 16x – 35
C
f(x) = x2 – 4x + 5
Option C
D
f(x) = 2x2 – 16x + 35
17

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

A
y = (x + 8)(x + 3)
B
y = (x + 4)(x + 6)
C
y = (x + 9)(x + 2)
D
y = (x + 7)(x + 4)
18

Which is the value of this expression when and ?

Question illustration
A
Negative one-third
Option A
B
Negative StartFraction 1 Over 27 EndFraction
Option B
C
StartFraction 1 Over 27 EndFraction
Option C
D
One-third
Option D
19

Which can be used to describe an equivalent expression for ?

Question illustration
A
Adding the exponents will create an equivalent expression.
B
Dividing the exponents will create an equivalent expression.
C
There are three factors of .
Option C
D
There are three factors of .
Option D
20

Which is the graph of f(x) = (x + 3)(x – 2)?

A
Option
B
Option
C
Option
D
Option

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