AnswersNY-Algebra I Term 1 HillcrestUnit Test

Unit Test — Unit test Answers

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A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A
1
B
6
C
8
D
30
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

Which number is rational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
9.23157 ...
4

Which graph represents a function?

A
Option
B
Option
C
Option
D
Option
5

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

Question illustration
A
(4, –2)
B
(–3, 2)
C
(3, 4)
D
(1, 1)
6

Which best describes the relationship between the successive terms in the sequence shown?9, –1, –11, –21, …

A
The common difference is –10.
B
The common difference is 10.
C
The common ratio is –9.
D
The common ratio is 9.
7

Why is the product of a rational number and an irrational number irrational?

A
because the product is always a non-terminating, non-repeating decimal
B
because the product is always a fraction
C
because the product is always a negative number
D
because the product is always a repeating or a terminating decimal
8

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

A
1, –5, 25, –125, ...
B
2, 10, 50, 250, ...
C
3, –2, –7, –12, ...
D
4, 9, 14, 19, ...
9

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.
10

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

Question illustration
A
(–2, 2)
B
(1, 3)
C
(5, –4)
D
(–4, –4)
11

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

Question illustration
A
the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
B
the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit
C
the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius
D
the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit
12

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
13

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
14

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

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