AnswersCSD Summer 2026 Algebra 1Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which is true about the polynomial ?

Question illustration
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.
2
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A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

Question illustration
A
zero
B
undefined
C
negative
D
positive
3

Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?

A
Option
B
Option
C
Option
D
Option
4

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

A
30c + 10(0.2) = 40(0.32)
B
(c) + (0.2) = 40(0.32)
Option B
C
(c)( (0.2)) = 40(0.32)
Option C
D
30(c)(10(0.2)) = 40(0.32)
5

What is the solution to the linear equation?–12 + 3b – 1 = –5 – b

A
b = –2
B
b = –1.5
C
b = 1.5
D
b = 2
6

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
7

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
8

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
Option A
B
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
Option B
C
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
Option C
D
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.
Option D
9

Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?

Question illustration
A
9 feet
B
18 feet
C
30 feet
D
33 feet
10

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.
11

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
12

What is the vertex of the function f(x) = x2 + 12x?

A
(–6, –36)
B
(–6, 0)
C
(6, 0)
D
(6, –36)
13

A sequence is defined by the recursive function f(n + 1) = f(n). If f(3) = 9 , what is f(1) ?

Question illustration
A
1
B
3
C
27
D
81
14

Which sequences are arithmetic? Select three options.

A
–8.6, –5.0, –1.4, 2.2, 5.8, …
B
2, –2.2, 2.42, –2.662, 2.9282, …
C
5, 1, –3, –7, –11, …
D
–3, 3, 9, 15, 21, …
E
–6.2, –3.1, –1.55, –0.775, –0.3875, …
15

Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. She is saving up to buy a new pair of jeans that cost $48. If she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

A
Option
B
Option
C
Option
D
Option
16

Which represents the polynomial written in standard form?4m – 2m4 – 6m2 + 9

A
9 + 4m + 2m4 – 6m2
B
2m4 – 6m2 – 4m + 9
C
9 – 6m2 + 4m – 2m4
D
–2m4 – 6m2 + 4m + 9
17

The table represents a function.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
18

The table shows the total cost of purchasing x same-priced items and a catalog.

Question illustration
A
$4, the cost per item
B
$4, the cost of the catalog
C
$6, the cost per item
D
$6, the cost of the catalog
19

Which is the graph of linear inequality 6x + 2y > –10?

A
Option
B
Option
C
Option
D
Option
20

What is the solution to –2(8x – 4) < 2x + 5?

A
x >
Option A
B
x <
Option B
C
x > 6
D
x < 6

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