Recognizing Patterns — Unit test Answers

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Which graph shows a set of ordered pairs that represent a function?

A
Option
B
Option
C
Option
D
Option
2
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The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

A
inches per second squared
Option A
B
inches per second squared
Option B
C
384 inches per second squared
D
1,024 inches per second squared
3

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

A
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).
Option A
B
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).
Option B
C
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends around point (6, 60).
Option C
D
On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).
Option D
4

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

Question illustration
A
12 only
B
2 and 3 only
C
–2, –1, 1, and 2 only
D
–2, –1, 1, 2 and 12
5

A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 8, negative 3, negative 3, 4, 1, 3.

Question illustration
A
(–1, –3)
B
(0, –2)
C
(1, 4)
D
(2, 1)
6

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 15, negative 5, 0, 5, 0, negative 5.

Question illustration
A
f(x) ≤ 0 over the interval (–∞, ∞).
B
f(x) > 0 over the interval (–1, ∞).
C
f(x) ≥ 0 over the interval [–1, 1].
D
f(x) < 0 over the interval (0, 2).
7

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

Question illustration
A
55
B
60
C
130
D
150
8

If f(x) = 2x2 + 1, what is f(x) when x = 3?

A
1
B
7
C
13
D
19
9

Which best describes the relationship between the successive terms in the sequence shown?2.4, –4.8, 9.6, –19.2

A
The common difference is –7.2.
B
The common difference is –2.4.
C
The common ratio is –2.0.
D
The common ratio is –0.5.
10

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

A
The graph will be continuous because an end day for the booth being set up is not given in the description.
B
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C
The graph will be discrete because some day the number of available people to sign up for the club will run out.
D
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
11

On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).

Question illustration
A
(–3, 0) and (0, 1.5)
B
(–3, 0) and (1,0)
C
(–1, 2) and (1, 0)
D
(0, 1.5) and (1, 0)
12

Mr. Jones asks his students to generate the next two numbers in the sequence beginning –5.5, 11, ....Taquan suggests that the sequence is geometric and the next two numbers are –22 and 44. Julia suggests that the sequence is arithmetic and the next two numbers are 27.5 and 44.Which best explains which student is correct?

A
Taquan is correct. When the signs change in a sequence, the sequence is geometric. Each successive term is generated by multiplying by –2.
B
Julia is correct. When the numbers alternate between decimals and whole numbers, the sequence is arithmetic. Each successive term is generated by adding 16.5.
C
Both students could be correct about the types of possible sequences. However, one student made a computational error because it is not possible to arrive at a fourth term of 44 in two different ways.
D
Both students could be correct. Because two numbers are given in the original sequence, it is possible to find a common difference and common ratio between the successive terms.
13

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

A
Blueberries are $0.23 per pound more expensive at the farmer’s market.
B
Blueberries are $0.50 per pound less expensive at the farmer’s market.
C
Blueberries are $0.80 per pound less expensive at the farmer’s market.
D
Blueberries are $1.40 per pound more expensive at the farmer’s market.
14

Which set of ordered pairs represents a function?

A
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
B
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
C
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
D
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
15

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).

Question illustration
A
Over the interval [–3, –2], the local minimum is 0.
B
Over the interval [–2, –1], the local minimum is 2.2.
C
Over the interval [–1, 0.5], the local minimum is 1.
D
Over the interval [0.5, 2], the local minimum is 4.
16

The volume of air inside a rubber ball with radius r can be found using the function . What does represent?

Question illustration
A
the radius of the rubber ball when the volume equals cubic feet
Option A
B
the volume of the rubber ball when the radius equals feet
Option B
C
that the volume of the rubber ball is 5 cubic feet when the radius is 7 feet
D
that the volume of the rubber ball is 7 cubic feet when the radius is 5 feet
17

The function h(t) = –16t2 + 28t + 500 represents the height of a rock t seconds after it is propelled by a slingshot.

A
the height of the rock 3.2 seconds before it reaches the ground
B
the time it takes the rock to reach the ground, or 3.2 seconds
C
the time it takes the rock to reach a height of 3.2 meters
D
the height of the rock 3.2 seconds after it is propelled
18

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Question illustration
A
7 in.
B
8 in.
C
9 in.
D
10 in.
19

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.

Question illustration
A
(0, 8)
B
(–4, 0)
C
(–4, 0), (4, 0)
D
(–4, 0), (0, 8), (4, 0)
20

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function . What does C(F) represent?

Question illustration
A
C(F) represents the output of the function C in degrees Celsius when the input F is in degrees Fahrenheit
B
C(F) represents the output of the function F in degrees Fahrenheit when the input C is in degrees Celsius
C
C(F) represents the output of the function C in degrees Fahrenheit when the input F is in degrees Celsius
D
C(F) represents the output of the function F in degrees Celsius when the input C is in degrees Fahrenheit

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