AnswersCSD Summer 2026 Algebra 1Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

Question illustration
A
f(x) = (x –1)2 – 7
B
f(x) = (x +1)2 – 7
C
f(x) = (x –1)2 – 5
D
f(x) = (x +1)2 – 5
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The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack itself. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?

A
0.7(t) = t – 4 – 2
B
0.7(t) = t + 4 + 2
C
0.7t(4 + 2) = t
D
0.7(t + 4 + 2) = t
43

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
Option A
B
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
Option B
C
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
Option C
D
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.
Option D
44

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to –2
C
all real numbers greater than or equal to –5
D
all real numbers greater than or equal to 0
45

What is the solution (a, c) to this system of linear equations?2a – 3c = –6 a + 2c = 11

A
(negative StartFraction 76 over 7 EndFraction, StartFraction 17 over 7 EndFraction)
Option A
B
(3, –4)
C
(3, 4)
D
(StartFraction 87 over 7 EndFraction, negative StartFraction 5 over 7 EndFraction)
Option D
46

What is the product?

Question illustration
A
24 a squared minus 6 b
Option A
B
24 a squared minus 6 a b
Option B
C
24 a squared minus 18 b squared
Option C
D
24 a squared minus 18 a b
Option D
47

Which exponential function has a growth factor of 5?

A
f(x) = 2(5x)
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
Option B
C
f(x) = 0.5(2x)
D
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
Option D
48

Which best describes the range of the function f(x) = 2(3)x?

A
y > 0
B
y ≥ 0
C
y > 2
D
y ≥ 2
49

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).
50

What is the coefficient of x after simplifying (−x−5)2?

A
−25
B
−10
C
10
D
25

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