EOC Review Topics - Linear Functions

Last updated about 8 hours ago

25 questions

EOC Review Topics - Linear Functions

Last updated about 8 hours ago

25 questions

In 1970, the average life expectancy in the U.S was 75.2 years. In 2000, the
average life expectancy was 78.8 years. Assuming the trend is linear, what will
be the average life expectancy in 2020?

The oak tree in your backyard is 15 feet tall. When you planted it 2 years ago,
it was just 7 feet tall. If the growth can be modeled by a linear equation, how
tall will the tree be in 5 years?

In the year 2010, a 40-inch LCD television cost about $2,500. In 2018, you
can buy the same television for about $1,100. Assuming a linear rate of depreciation, how much less does the television cost this year than last year

Attendance at Lincoln high school has increased linearly for the past 10
years. 5 years ago, Lincoln had 1,235 students. Now Lincoln has 1,705 students. If the growth continues, how many students will attend Lincoln in 3
years?

Find f(2) if f(x) = 5(x-3)+17

Find f(2) if f(x) = 1200(1+0.04)^x

Find f(-3) if f(x)=3x^2+2x-5

Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?

The table below shows the average weight of a type of plankton after several weeks. What is the average rate of change in weight of the plankton from week 8 to week 12?

The table below shows the temperature, T, in Tucson, Arizona t hours after midnight. When does the temperature decrease the fastest?

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 4/3 and a y-intercept of −2.

What is the slope of the function with the smaller slope?

The table to the right shows the cost of a pizza based on the number of toppings. Write a function that represents the cost of a pizza, C, with n toppings?

Write an equation that represents:
A plumber who charges $50 for a house call and $85 per hour can be expressed as the function

Find the slope of the following:

A line, y=mx+b, passes through the point (3,4) and is parallel to y=2x+6. What is the value of b?

Find the equation of a line that is perpendicular to y = 1/2 x - 1 and passes through (2, 3).

The function f(x) = 2.5x + 3 models that weight of a puppy x weeks after it is born. What is the meaning of the y-intercept of the function?
Must use context (the subject and actual number) to receive credit.
(Remember this needs to be graded by me - so don't panic if your answer shows red)

The total cost, in dollars, of membership in a fitness center is given by the function c(m)=25m+30, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

Find the value of x:
3(x-4)-6x=8x+10

Write an equation, in standard form, that represents the line that is perpendicular to 2x-3y=9 and passes through (-2, -3).

Susan has two dogs. The larger dog weighs 12.4 pounds more than the smaller dog. The combined weight of the two dogs is 177.6 pounds. What is the weight, in pounds, of the smaller dog?

The function a(n) = 5n - 13 represents the value of the nth term in a sequence. What is the sum of the 1st and 7th terms of the sequence?

The width of a rectangle is 1/3 its length. The perimeter of the rectangle is 104 ft. What is the length, in feet of the rectangle?

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).

Using the line of best fit, what is the predicted heart rate of a girl whose walking heart rate is 125 bpm, to the nearest whole number?

Let’s consider a situation where the Williams family is coming home from visiting relatives. Mrs. Williams has to drive 350 miles in order to get home. Even though there is road construction, the family still drives at a constant rate; however, it takes them longer to drive home than it did to get to their relatives' house. Shonda Williams was bored, so she kept track of how many miles, y, remained until they got home after a certain amount of time, x, had passed. Shonda’s data appears in the table below.

Use the interactive below to help you determine the slope of the function representing the Williams family’s return trip home.

EOC Review Topics - Linear Functions

EOC Review Topics - Linear Functions

In 1970, the average life expectancy in the U.S was 75.2 years. In 2000, theaverage life expectancy was 78.8 years. Assuming the trend is linear, what willbe the average life expectancy in 2020?

The oak tree in your backyard is 15 feet tall. When you planted it 2 years ago,it was just 7 feet tall. If the growth can be modeled by a linear equation, howtall will the tree be in 5 years?

In the year 2010, a 40-inch LCD television cost about $2,500. In 2018, youcan buy the same television for about $1,100. Assuming a linear rate of depreciation, how much less does the television cost this year than last year

Attendance at Lincoln high school has increased linearly for the past 10years. 5 years ago, Lincoln had 1,235 students. Now Lincoln has 1,705 students. If the growth continues, how many students will attend Lincoln in 3years?

Find f(2) if f(x) = 5(x-3)+17

Find f(2) if f(x) = 1200(1+0.04)^x

Find f(-3) if f(x)=3x^2+2x-5

Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?

The table below shows the average weight of a type of plankton after several weeks. What is the average rate of change in weight of the plankton from week 8 to week 12?

The table below shows the temperature, T, in Tucson, Arizona t hours after midnight. When does the temperature decrease the fastest?

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 4/3 and a y-intercept of −2.What is the slope of the function with the smaller slope?

The table to the right shows the cost of a pizza based on the number of toppings. Write a function that represents the cost of a pizza, C, with n toppings?

Write an equation that represents:A plumber who charges $50 for a house call and $85 per hour can be expressed as the function

Find the slope of the following:

A line, y=mx+b, passes through the point (3,4) and is parallel to y=2x+6. What is the value of b?

Find the equation of a line that is perpendicular to y = 1/2 x - 1 and passes through (2, 3).

The function f(x) = 2.5x + 3 models that weight of a puppy x weeks after it is born. What is the meaning of the y-intercept of the function?Must use context (the subject and actual number) to receive credit.(Remember this needs to be graded by me - so don't panic if your answer shows red)

The total cost, in dollars, of membership in a fitness center is given by the function c(m)=25m+30, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

Find the value of x:3(x-4)-6x=8x+10

Write an equation, in standard form, that represents the line that is perpendicular to 2x-3y=9 and passes through (-2, -3).

Susan has two dogs. The larger dog weighs 12.4 pounds more than the smaller dog. The combined weight of the two dogs is 177.6 pounds. What is the weight, in pounds, of the smaller dog?

The function a(n) = 5n - 13 represents the value of the nth term in a sequence. What is the sum of the 1st and 7th terms of the sequence?

The width of a rectangle is 1/3 its length. The perimeter of the rectangle is 104 ft. What is the length, in feet of the rectangle?

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).Using the line of best fit, what is the predicted heart rate of a girl whose walking heart rate is 125 bpm, to the nearest whole number?

In 1970, the average life expectancy in the U.S was 75.2 years. In 2000, theaverage life expectancy was 78.8 years. Assuming the trend is linear, what willbe the average life expectancy in 2020?

The oak tree in your backyard is 15 feet tall. When you planted it 2 years ago,it was just 7 feet tall. If the growth can be modeled by a linear equation, howtall will the tree be in 5 years?

In the year 2010, a 40-inch LCD television cost about $2,500. In 2018, youcan buy the same television for about $1,100. Assuming a linear rate of depreciation, how much less does the television cost this year than last year

Attendance at Lincoln high school has increased linearly for the past 10years. 5 years ago, Lincoln had 1,235 students. Now Lincoln has 1,705 students. If the growth continues, how many students will attend Lincoln in 3years?

Find f(2) if f(x) = 5(x-3)+17

Find f(2) if f(x) = 1200(1+0.04)^x

Find f(-3) if f(x)=3x^2+2x-5

Suppose that the function f(x) = 2x + 12 represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?

The table below shows the average weight of a type of plankton after several weeks. What is the average rate of change in weight of the plankton from week 8 to week 12?

The table below shows the temperature, T, in Tucson, Arizona t hours after midnight. When does the temperature decrease the fastest?

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 4/3 and a y-intercept of −2.What is the slope of the function with the smaller slope?

The table to the right shows the cost of a pizza based on the number of toppings. Write a function that represents the cost of a pizza, C, with n toppings?

Write an equation that represents:A plumber who charges $50 for a house call and $85 per hour can be expressed as the function

Find the slope of the following:

A line, y=mx+b, passes through the point (3,4) and is parallel to y=2x+6. What is the value of b?

Find the equation of a line that is perpendicular to y = 1/2 x - 1 and passes through (2, 3).

The function f(x) = 2.5x + 3 models that weight of a puppy x weeks after it is born. What is the meaning of the y-intercept of the function?Must use context (the subject and actual number) to receive credit.(Remember this needs to be graded by me - so don't panic if your answer shows red)

The total cost, in dollars, of membership in a fitness center is given by the function c(m)=25m+30, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

Find the value of x:3(x-4)-6x=8x+10

Write an equation, in standard form, that represents the line that is perpendicular to 2x-3y=9 and passes through (-2, -3).

Susan has two dogs. The larger dog weighs 12.4 pounds more than the smaller dog. The combined weight of the two dogs is 177.6 pounds. What is the weight, in pounds, of the smaller dog?

The function a(n) = 5n - 13 represents the value of the nth term in a sequence. What is the sum of the 1st and 7th terms of the sequence?

The width of a rectangle is 1/3 its length. The perimeter of the rectangle is 104 ft. What is the length, in feet of the rectangle?

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).Using the line of best fit, what is the predicted heart rate of a girl whose walking heart rate is 125 bpm, to the nearest whole number?

In 1970, the average life expectancy in the U.S was 75.2 years. In 2000, the
average life expectancy was 78.8 years. Assuming the trend is linear, what will
be the average life expectancy in 2020?

The oak tree in your backyard is 15 feet tall. When you planted it 2 years ago,
it was just 7 feet tall. If the growth can be modeled by a linear equation, how
tall will the tree be in 5 years?

In the year 2010, a 40-inch LCD television cost about $2,500. In 2018, you
can buy the same television for about $1,100. Assuming a linear rate of depreciation, how much less does the television cost this year than last year

Attendance at Lincoln high school has increased linearly for the past 10
years. 5 years ago, Lincoln had 1,235 students. Now Lincoln has 1,705 students. If the growth continues, how many students will attend Lincoln in 3
years?

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 4/3 and a y-intercept of −2.

What is the slope of the function with the smaller slope?

Write an equation that represents:
A plumber who charges $50 for a house call and $85 per hour can be expressed as the function

The function f(x) = 2.5x + 3 models that weight of a puppy x weeks after it is born. What is the meaning of the y-intercept of the function?
Must use context (the subject and actual number) to receive credit.
(Remember this needs to be graded by me - so don't panic if your answer shows red)

Find the value of x:
3(x-4)-6x=8x+10

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).

Using the line of best fit, what is the predicted heart rate of a girl whose walking heart rate is 125 bpm, to the nearest whole number?

In 1970, the average life expectancy in the U.S was 75.2 years. In 2000, the
average life expectancy was 78.8 years. Assuming the trend is linear, what will
be the average life expectancy in 2020?

The oak tree in your backyard is 15 feet tall. When you planted it 2 years ago,
it was just 7 feet tall. If the growth can be modeled by a linear equation, how
tall will the tree be in 5 years?

In the year 2010, a 40-inch LCD television cost about $2,500. In 2018, you
can buy the same television for about $1,100. Assuming a linear rate of depreciation, how much less does the television cost this year than last year

Attendance at Lincoln high school has increased linearly for the past 10
years. 5 years ago, Lincoln had 1,235 students. Now Lincoln has 1,705 students. If the growth continues, how many students will attend Lincoln in 3
years?

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 4/3 and a y-intercept of −2.

What is the slope of the function with the smaller slope?

Write an equation that represents:
A plumber who charges $50 for a house call and $85 per hour can be expressed as the function

The function f(x) = 2.5x + 3 models that weight of a puppy x weeks after it is born. What is the meaning of the y-intercept of the function?
Must use context (the subject and actual number) to receive credit.
(Remember this needs to be graded by me - so don't panic if your answer shows red)

Find the value of x:
3(x-4)-6x=8x+10

The table below displays the walking heart rate and running heart rate of eight girls in beats per minute (bpm).

Using the line of best fit, what is the predicted heart rate of a girl whose walking heart rate is 125 bpm, to the nearest whole number?