AnswersTX-Algebra I A-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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The variables A, B, and C represent polynomials where A = x + 1, B = x2 + 2x − 1, and C = 2x. What is AB + C in simplest form?

A
x3 + 3x − 1
B
x3 + 4x − 1
C
x3 + 3x2 + 3x − 1
D
x3 + 2x2 − x + 1
2
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Which system of linear inequalities has the point (2, 1) in its solution set?

A
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3
Option A
B
y less-than negative one-half x + 3. y less-than one-half x.
Option B
C
Option
Option C
D
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2
Option D
3

Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.

Question illustration
A
slope: 2, y-intercept: –20
B
slope: 2, y-intercept: 10
C
slope: 5, y-intercept: –20
D
slope: 5, y-intercept: 10
4

Which table shows no correlation?

A
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 1, negative 2, negative 3, negative 2, negative 5, negative 4, negative 8.
Option A
B
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 6, negative 7, negative 4, negative 2, 0, negative 1, positive 3.
Option B
C
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 2, negative 4, positive 6, positive 8, positive 12, positive 10, negative 16.
Option C
D
A 2-row table with 7 columns. The first row is labeled x with entries 3, 5, 6, 8, 10, 14, 15. The second row is labeled y with entries negative 3, negative 5, negative 9, negative 11, negative 13, negative 15, negative 17.
Option D
5

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.

Question illustration
A
The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.
B
The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.
C
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.
D
The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.
6

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
7

Which statements are true? Select three options.The line x = 0 is perpendicular to the line y = –3.All lines that are parallel to the y-axis are vertical lines.All lines that are perpendicular to the x-axis have a slope of 0.The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

A
The line x = 0 is perpendicular to the line y = –3.
B
All lines that are parallel to the y-axis are vertical lines.
C
All lines that are perpendicular to the x-axis have a slope of 0.
D
The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.
E
The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.
8

Jordan has a jar of quarters. When he has 60 quarters in the jar, the jar weighs 52 ounces. When there are 125 quarters in the jar, the jar weighs 65 ounces. What is the weight of the empty jar?

A
39 ounces
B
40 ounces
C
44 ounces
D
60 ounces
9

A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 4), (0, negative 4), (negative 2, 2), (negative 2, negative 1), (1, negative 3), (3, 7).

Question illustration
A
(–3, –4)
B
(–2, –1)
C
(1, –3)
D
(3, 7)
10

Which expression is equivalent to –6x3 • x • y2 • y6?

A
mc010-1.jpg
Option A
B
mc010-2.jpg
Option B
C
mc010-3.jpg
Option C
D
mc010-4.jpg
Option D
11

The inverse of the function f(x) = is shown. h(x) = 2x-What is the missing value?

Question illustration
A
1
B
5
C
10
D
20
12

Shannon graphed the system of equations.7x – 4y= –8y = x – 3What is the closest approximate solution to the system of equations?

Question illustration
A
(–5, –7.2)
B
(–5, –6.8)
C
(–5, –6.2)
D
(–5, –5.9)
13

Which graph shows the solution to the system of linear inequalities?2x – 3y <12y < –3

A
Option
B
Option
C
Option
D
Option
14

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

A
Option
B
Option
C
Option
D
Option
15

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
16

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
17

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

A
x >
Option A
B
x <
Option B
C
x > 6
D
x < 6
18

The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. Each t-shirt weighed of a pound, and each sweatshirt weighed of a pound. The total weight of the contents of the box was pounds. Which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered?

Question illustration
A
StartFraction one-half EndFraction t plus StartFraction 3 Over 4 EndFraction s equals 43 and StartFraction 3 Over 4 EndFraction
Option A
B
StartFraction 3 Over 4 EndFraction s equals negative StartFraction one-half EndFraction s plus 43 and StartFraction 3 Over 4 EndFraction.
Option B
C
2t + 3s = 175
D
3s = –2t + 175
19

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)
20

What are the factors of 2x2 + 3x – 54? Select two options.2x – 92x – 62x + 6x – 6x + 6

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

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