Answers26-27 AISD - Algebra 2A-IC HallReflections and Dilations of Absolute Value Functions

Reflections and Dilations of Absolute Value Functions — Cumulative exam Answers

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21
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Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours. Returning to her original location, she paddles downstream (with the current) the same distance in 1 hour. The equations represent x, the paddling speed, and y, the speed of the current.2(x – y) = a b(x + y) = 8Which are true? Select two options.

A
a = 8
B
b = 8
C
a = 1
D
b = 1
E
a = b
22
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The graph of f(x) = is reflected over the y-axis. Use the graphing calculator to graph this reflection. Which list contains three points that lie on the graph of the reflection?

Question illustration
A
(–81, 9), (–36, 6), (–1, 1)
B
(1, –1), (16, –4), (36, –6)
C
(–49, 7), (–18, 9), (–1, 1)
D
(1, –1), (4, –16), (5, –25)
23

The table shows how an elevator 500 feet above the ground is descending at a steady rate.

Question illustration
A
h(t) = 5t + 500
B
h(t) = 5t – 500
C
h(t) = –5t + 500
D
h(t) = –5t – 500
24

Samir, a carpenter, spent $300 on specialty tools to make toy horses for children. For each horse he makes, he spends $75 on supplies. He charges $125 for each horse. How many horses must Samir sell in order to break even?

A
2
B
3
C
4
D
6
25

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

Question illustration
A
35
B
42
C
63
D
105
26

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
27

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
28

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
29

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
30

A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities? x + y ≤ 50x ≥ 20

A
Option
B
Option
C
Option
D
Option
31

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

A
Option
B
Option
C
Option
D
Option
32

The tables represent the functions f(x) and g(x).

Question illustration
A
x = –12
B
x = –9
C
x = –6
D
x = –3
33

What is the solution to 4|0.5x – 2.5| = 0?

A
x = 1.25
B
x = 5
C
x = –1.25 or x = 1.25
D
x = –5 or x = 5
34

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
35

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information.Which equation can Jeremy use to determine the amount of raisins in the trail mix?

Question illustration
A
r + 1.50 = 1.5r
B
r + (5 – r) = 5
C
1.5r + 2.5(5 – r) = 10.50
D
1.5r + 2.5(5 – r) = 5
36

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
37

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

A
f(x) = 6x – 1
B
f(x) = 8x – 6
C
f(x) = 4x – 14
D
f(x) = 4x – 10
38

The function y = – 3 is graphed only over the domain of {x | –8 < x < 8}. What is the range of the graph?

Question illustration
A
{y | –5 < y < 5}
B
{y | –5 < y < –1}
C
{y | 1 < y < 5}
D
{y | 1 < y < –1}
39

The table represents a function.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
40

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)

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