AnswersFL-1200370-Algebra 1-A Semester 2Reflections and Dilations of Absolute Value Functions

Reflections and Dilations of Absolute Value Functions — Cumulative exam Answers

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1
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What is the vertex of the graph of f(x) = |x – 13| + 11?

A
(–11, 13)
B
(–13, 11)
C
(11, 13)
D
(13, 11)
2
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Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.502x + 5y = 50.00

A
Percy earns a greater hourly wage of $7.00 at the library.
B
Percy earns a greater hourly wage of $7.00 at the coffee cart.
C
Percy earns a greater hourly wage of $7.50 at the library.
D
Percy earns a greater hourly wage of $7.50 at the coffee cart.
3

A function g(x) is defined as shown.g(x) = What is the value of g(4)?

Question illustration
A
10
B
12
C
14
D
16
4

Which graph represents the function g(x) = |x + 4| + 2?

A
Option
B
Option
C
Option
D
Option
5

What is the value of x in the equation (x + 12) = (x + 14) – 3?

Question illustration
A
–24
B
–6
C
negative StartFraction 2 Over 3 EndFraction.
Option C
D
0
6

Which statement is true about the function f(x) = ?

Question illustration
A
It has the same domain and range as the function f(x) = .
Option A
B
It has the same range but not the same domain as the function f(x) = .
Option B
C
It has the same domain and range as the function f(x) = .
Option C
D
It has the same range but not the same domain as the function f(x) = .
Option D
7

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)
8

Which scenario can be represented using the inequalities below?1.25 < x < 1.5

A
A container of milk costs at least $1.25 but less than $1.50.
B
A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework.
C
A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%.
D
The point value of a test item is more than 1.25 points and less than 1.5 points.
9

On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

Question illustration
A
F(x) < 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
B
F(x) > 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
C
F(x) < 0 over the intervals ( –2.5, –0.75) and (–0.75, ∞).
D
F(x) > 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
10

What is the inverse of the function f(x) = 4x + 8?

A
h(x) = x – 2
Option A
B
h(x) = x + 2
Option B
C
h(x) = x – 2
Option C
D
h(x) = x + 2
Option D
11

Which is the graph of linear inequality x – 2y ≥ –12?

A
Option
B
Option
C
Option
D
Option
12

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
13

How many intersections are there of the graphs of the equations below?x + 5y = 63x + 30y = 36

Question illustration
A
none
B
one
C
two
D
infinitely many
14

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

A
Option
B
Option
C
Option
D
Option
15

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himself in 40 minutes. That task would take Niko 50 minutes to complete alone. Which table is filled in correctly and could be used to determine how long it would take if Elias and Niko polished the silver together?

A
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has StartFraction 1 Over 40 EndFraction, t, and StartFraction 1 Over 40 EndFraction t. The second row shows Niko and has, StartFraction 1 Over 50 EndFraction, t, and StartFraction 1 Over 50 EndFraction t.
Option A
B
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, StartFraction 1 Over 40 EndFraction, and StartFraction 1 Over 40 EndFraction r. The second row shows Niko and has, r, StartFraction 1 Over 50 EndFraction, and StartFraction 1 Over 50 EndFraction r.
Option B
C
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has 40, t, and 40 t. The second row shows Niko and has, 50, t, and 50 t .
Option C
D
A table showing Rate in part per minute, Time in minutes, and Part of Silver Polished. The First row shows Elias, and has r, 40, and 40 r. The second row shows Niko and has, r 50, and 50 r .
Option D
16

The graph represents the data cost for monthly Internet service for a cell phone.

Question illustration
A
C(x) =
Option A
B
C(x) =
Option B
C
C(x) =
Option C
D
C(x) =
Option D
17

On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (2.4, negative 51) and a maximum value of (negative 0.75, 6), crosses the x-axis at (negative 2, 0), (0, 0), and (3.5, 0), and crosses the y-axis at (0, 0).

Question illustration
A
As the x-values go to positive infinity, the function's values go to negative infinity.
B
As the x-values go to zero, the function's values go to positive infinity.
C
As the x-values go to negative infinity, the function's values are equal to zero.
D
As the x-values go to negative infinity, the function's values go to positive infinity.
18

Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

A
7x + 2y = –1
B
7x + 2y = 1
C
14x + 4y = –1
D
14x + 4y = 1
19

The function graphed is reflected across the x-axis to create a new function.

Question illustration
A
Both the domain and range change.
B
Both the range and domain stay the same.
C
The domain stays the same, but the range changes.
D
The range stays the same, but the domain changes.
20

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

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