Algebra Topic 3 Test

1

Which relation is a function?

(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)

(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)

(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)

(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)

1

What is the domain of the relation?

{\{-1, 9, 16\}}

{\{-1, 2, 8, 9, 16, 30, 46\}}

{\{0, -1, 2, 8, 9, 16, 30, 46\}}

{\{2, 8,30, 46\}}

1

What is the range of the relation?

{\{-1, 2, 8, 9, 16, 30, 46\}}

{\{2, 8,30, 46\}}

{\{-1, 9, 16\}}

{\{0, -1, 2, 8, 9, 16, 30, 46\}}

1

Complete the sentence about the relation shown below.
The relation is a many-to-one function because ...

Multiple elements of the domain are mapped to the same element of the range, but no element of the domain is mapped to more than one element of the range.

Every element of the range is associated with more than one element of the domain, and every element in the domain maps to at least one element of the range.

No two elements of the domain are mapped to the same element of the range, and at least one element of the domain is mapped to more than one element of the range.

1

Jack works after school. Each day, he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.

f(x) = 0.5x + 1

f(x) = 15x + 3

f(x) = 10x + 8

f(x) = x + 18

1

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Which is a reasonable domain for the function that takes a number of hours as an input and yields an amount of pay as an output.

1

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Assume Jack works from 2:30 PM to 7:00 PM. Using the function you selected for question 5, how much should Jack earn?

$33

$35.50

$45

$53

1

Given f(x)=-x+6, write an equation for f(x+3).
Your answer should be in the form f(x+3)=mx+b.

1

Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.

1

For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5?

when b=0

when b=\frac{5}{4}

when b=5

always

1

Which of the following is an arithmetic sequence?

2, 4, 8, 16, 32, …

0, 5, 0, 10, 0, 15, …

5, 11, 17, 23, 29, 36, …

−2, −5, −8, −11, −14, −17, …

1

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.

a_{n}=14+9(n+1)

a_{n}=5+9n

a_{n}=5+9(n+1)

a_{n}=14+9n

1

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.

a_{n}=a_{n-1}+5; \textrm{ }a_{1}=14

a_{n}=a_{n-1}+14; \textrm{ }a_{1}=9

a_{n}=a_{n-1}+9; \textrm{ }a_{1}=14

a_{n}=a_{n-1}+23; \textrm{ }a_{1}=9

1

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time. Use the table of her exercise data to choose the scatter plot with the best trend line.

null

1

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What type of correlation does the scatter plot show?

cannot tell

negative

positive

none

1

Which could be an equation of the trend line shown in the graph?

y = 8x + 15

y = 6x + 12

y = 6x + 6

y = 8x + 8

1

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What does the y-intercept of the trend line represent?

average time spent doing sit-ups

average time spent running

total time spent running

average distance run

1

Using the trend line y = 8x + 8, for the data shown, complete the residual table.

1

Yumiko’s exercise data is shown. Using the trend line y = 8x + 8, how many minutes will it take Yumiko to run 5 \textrm{ mi}?

1

Yumiko’s exercise data is shown. Complete the sentence with the correct word.
Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 \textrm{ mi} is an example of ...

correlation

interpolation

causation

extrapolation

1

Which r-value suggests a weak positive correlation?

r = −0.98264

r = −0.17454

r = 0.17454

r = 0.98264

1

The table shows grade levels and heights of 6 students.
What type of correlation does the data show?

positive correlation

negative correlation

no correlation

1

The table shows grade levels and heights of 6 students.
Select the correct statement.

The data can be used to show causation.

The data can not be used to show causation.

Algebra Topic 3 Test

Which relation is a function?

What is the domain of the relation?

What is the range of the relation?

Complete the sentence about the relation shown below.The relation is a many-to-one function because ...

Jack works after school. Each day, he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.Which is a reasonable domain for the function that takes a number of hours as an input and yields an amount of pay as an output.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.Assume Jack works from 2:30 PM to 7:00 PM. Using the function you selected for question 5, how much should Jack earn?

Given f(x)=-x+6, write an equation for f(x+3).Your answer should be in the form f(x+3)=mx+b.

Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.

For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5?

Which of the following is an arithmetic sequence?

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time. Use the table of her exercise data to choose the scatter plot with the best trend line.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.What type of correlation does the scatter plot show?

Which could be an equation of the trend line shown in the graph?

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.What does the y-intercept of the trend line represent?

Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Yumiko’s exercise data is shown. Using the trend line y = 8x + 8, how many minutes will it take Yumiko to run 5 \textrm{ mi}?

Yumiko’s exercise data is shown. Complete the sentence with the correct word.Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 \textrm{ mi} is an example of ...

Which r-value suggests a weak positive correlation?

The table shows grade levels and heights of 6 students.What type of correlation does the data show?

The table shows grade levels and heights of 6 students.Select the correct statement.

Which relation is a function?

What is the domain of the relation?

What is the range of the relation?

Complete the sentence about the relation shown below.The relation is a many-to-one function because ...

Jack works after school. Each day, he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.Which is a reasonable domain for the function that takes a number of hours as an input and yields an amount of pay as an output.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.Assume Jack works from 2:30 PM to 7:00 PM. Using the function you selected for question 5, how much should Jack earn?

Given f(x)=-x+6, write an equation for f(x+3).Your answer should be in the form f(x+3)=mx+b.

Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.

For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5?

Which of the following is an arithmetic sequence?

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the explicit formula to represent the situation.

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time. Use the table of her exercise data to choose the scatter plot with the best trend line.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.What type of correlation does the scatter plot show?

Which could be an equation of the trend line shown in the graph?

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.What does the y-intercept of the trend line represent?

Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Yumiko’s exercise data is shown. Using the trend line y = 8x + 8, how many minutes will it take Yumiko to run 5 \textrm{ mi}?

Yumiko’s exercise data is shown. Complete the sentence with the correct word.Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 \textrm{ mi} is an example of ...

Which r-value suggests a weak positive correlation?

The table shows grade levels and heights of 6 students.What type of correlation does the data show?

The table shows grade levels and heights of 6 students.Select the correct statement.

Complete the sentence about the relation shown below.
The relation is a many-to-one function because ...

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Which is a reasonable domain for the function that takes a number of hours as an input and yields an amount of pay as an output.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Assume Jack works from 2:30 PM to 7:00 PM. Using the function you selected for question 5, how much should Jack earn?

Given f(x)=-x+6, write an equation for f(x+3).
Your answer should be in the form f(x+3)=mx+b.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What type of correlation does the scatter plot show?

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What does the y-intercept of the trend line represent?

Yumiko’s exercise data is shown. Complete the sentence with the correct word.
Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 \textrm{ mi} is an example of ...

The table shows grade levels and heights of 6 students.
What type of correlation does the data show?

The table shows grade levels and heights of 6 students.
Select the correct statement.

Complete the sentence about the relation shown below.
The relation is a many-to-one function because ...

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Which is a reasonable domain for the function that takes a number of hours as an input and yields an amount of pay as an output.

Jack works after school. Each day, he is paid a set amount, plus an hourly wage.
Assume Jack works from 2:30 PM to 7:00 PM. Using the function you selected for question 5, how much should Jack earn?

Given f(x)=-x+6, write an equation for f(x+3).
Your answer should be in the form f(x+3)=mx+b.

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What type of correlation does the scatter plot show?

Each day, Yumiko does sit-ups for a few minutes before running. But she doesn't always run the same distance, which means her workouts don't always take the same amount of time.
What does the y-intercept of the trend line represent?

Yumiko’s exercise data is shown. Complete the sentence with the correct word.
Using the trend line y = 8x + 8 to estimate how long it will take Yumiko to run 5 \textrm{ mi} is an example of ...

The table shows grade levels and heights of 6 students.
What type of correlation does the data show?

The table shows grade levels and heights of 6 students.
Select the correct statement.