AnswersMO-Algebra I ARecognizing Patterns

Recognizing Patterns — Unit test Answers

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Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

A
f(x) = y + 3
B
f(x) = –y – 3
C
f(x) = –x + 3
D
f(x) = x – 3
2
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Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its speed, as time increases?

A
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, is steady for a while, and then goes down over time.
Option A
B
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, is steady for a while, and then goes up over time.
Option B
C
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins at 0, goes up at first, goes down for a while, and then is steady over time.
Option C
D
A graph with time (minutes) on the horizontal axis and speed (miles per minute) on the vertical axis. Both axes are unnumbered. The speed begins in the middle of the vertical axis, goes down at first, goes up for a while, and then is steady over time.
Option D
3

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

Question illustration
A
The total number of stamps is 25.
B
The total value of the stamps is $18.75.
C
The total number of stamps is 35.
D
The total value of the stamps is $19.15.
4

The function f(x) is shown on the graph.

Question illustration
A
0 only
B
–6 only
C
–2, 1, or 3 only
D
–6, –2, 1, or 3 only
5

What is the value of x in the equation 3x – y = 18, when y = 27?

Question illustration
A
5
B
7
C
45
D
63
6

A sequence is defined recursively by the formula f(n + 1) = –2f(n). The first term of the sequence is –1.5. What is the next term in the sequence?

A
–3.5
B
–3
C
0.5
D
3
7

What is the inverse of the function f(x) = x +3?

A
h(x) = x + 3
Option A
B
h(x) = x – 3
Option B
C
h(x) = x – 3
D
h(x) = x + 3
8

The graph shows the relationship between the total amount of money that Carly will have left, y, if she buys x packs of baseball cards.

Question illustration
A
$16
B
$18
C
$19
D
$20
9

A graph titled Cost of Erasers. The x-axis shows the number of erasers, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 0.5 to 4.5. Blue diamonds appear at points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3), (7, 3.5), (8, 4), (9, 4.5).

Question illustration
A
Each eraser costs $1.00.
B
Each eraser costs $1.50.
C
Three erasers cost $6.
D
Seven erasers cost $3.50.
10

Eli left his house one afternoon to study at the library. The graph shows his distance, in miles, away from his house as a function of time, in minutes.

Question illustration
A
Eli arrived at the library.
B
Eli rode his bicycle home from the library.
C
Eli rode his bicycle to the store, getting farther away from his house.
D
Eli continued to study at the library for 13 more minutes.
11

What is the value of x in the equation , when y = 3?

Question illustration
A
x = 6
B
x = 7
C
x = 8
D
x = 9
12

A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.

Question illustration
A
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
B
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
C
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
D
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
13

The price of grapes at the grocery store is $1.44 per pound. There are approximately 0.45 kilograms in a pound. To the nearest cent, what is the price of grapes in dollars per kilogram?

A
$0.65 per kilogram
B
$0.99 per kilogram
C
$1.89 per kilogram
D
$3.20 per kilogram
14

Ahmed has five more CDs than one-half the number of CDs Julia has. In this situation, what does c+ 5 represent?

Question illustration
A
the number of CDs Ahmed has
B
the number of CDs Julia has
C
the number of CDs Ahmed has more than Julia
D
the number of CDs Ahmed and Julia have altogether
15

The graph represents a mechanic’s labor costs for a given number of hours of car repair.

Question illustration
A
All repairs requiring 1 hour or less have the same labor cost.
B
Labor costs the same no matter how many hours are used for a repair.
C
Labor costs for a repair are less expensive as the number of hours increases.
D
There is no cost of labor for a repair requiring less than 1 hour.

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