Recognizing Patterns — Unit test Answers

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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
2
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Karl rides his bicycle 120 feet in 10 seconds. How many feet does he ride in 1 minute?

A
2 feet
B
12 feet
C
720 feet
D
7,200 feet
3

On a coordinate plane, a curved line with a minimum value of (negative 2, negative 6) and maximum values of (negative 3.75, 3) and (0.25, 13), crosses the x-axis at (negative 4, 0), (negative 3, 0), (negative 1, 0), and (1, 0), and crosses the y-axis at (0, 12).

Question illustration
A
[–1, 1]
B
[1, 2]
C
[–3, –1]
D
[–5, –3]
4

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
5

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made?

Question illustration
A
Tomas substituted the 3 for x when he should have substituted 6 for x.
B
Tomas added 6 to both sides of the equation instead of subtracting 6.
C
Tomas should have written the equation as .
Option C
D
Tomas substituted 3 for x when he should have substituted 3 for y.
6

Consider the function represented by the graph.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

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
8

Analyze the graph of the function f(x) to complete the statement.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

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)
10

On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).

Question illustration
A
f(2) = g(2)
B
f(0) = g(0)
C
f(2) = g(0)
D
f(0) = g(2)
11

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
12

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, ...
13

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
14

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

A
3x – 10y = 50
B
3x = 50 – 10y
C
50 + 10y = 3y
D
50 + 3y = 10y
15

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.

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