Name:
Chapter 3 Review - Version 1
1. Given the equation: 5𝑥 + 4𝑦 = −16
a. What are the x and y intercepts.
b. Write the equation in slope-intercept form.
c. What is the slope of the equation?
d. Graph the equation.
2. In order to determine their total profit 𝑝(𝑥) a company subtract their costs 𝑐(𝑥) from the
revenue𝑟(𝑥).
a. Write the profit 𝑝(𝑥) in terms of 𝑐(𝑥) and 𝑟(𝑥)
b. Write a linear function that can be used to calculate the profit if 𝑟(𝑥) = 6𝑥 and 𝑐(𝑥) = 𝑥 +
2000
c. Calculate the profit if 𝑥 = 3000
3. You have $125 to spend at the mall and want to buy video games which are $28 and movies which are
$15 each.
a. Write an equation to represent the situation using v for video games and m for movies.
b. If you buy 2 video games how many movies can you buy? Show your work and explain your
reasoning.
c. If you don’t buy any movies how many video games can you buy? Show your work and explain
your reasoning.
4. The table below shows the number of miles driven on a road trip to Canada.
Time
0
2
4
6
8
10
12
(hrs)
Distance 0
130
230
365
590
695
840
(miles)
14
16
1005
1050
a. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole
number.
b. Identify the correlation coefficient, or r-value, of the line. What does this value tell you?
c. Predict the distance traveled after 20 hours. Show your work and explain your reasoning.
5. a. What is the circumference of a circle?
b. Solve the equation for the radius r.
c. If you want to make a pie with a circumference of 113 inches, how big would the radius need to
be? Use your equation in step b.
3
6. Given the equation: 𝑦 = 4 𝑥 + 2
a. What are the x and y intercepts.
b. Write the equation in standard form.
c. What is the slope of the equation?
d. Graph the equation.
Name:
Chapter 3 Review - Version 2
1. Given the equation: 3𝑥 + 8𝑦 = −24
a. What are the x and y intercepts.
b. Write the equation in slope-intercept form.
c. What is the slope of the equation?
d. Graph the equation.
2. In order to determine their total profit 𝑝(𝑥) a company subtract their costs 𝑐(𝑥) from the
revenue𝑟(𝑥).
a. Write the profit 𝑝(𝑥) in terms of 𝑐(𝑥) and 𝑟(𝑥)
b. Write a linear function that can be used to calculate the profit if 𝑟(𝑥) = 5𝑥 and 𝑐(𝑥) = 𝑥 +
4000
c. Calculate the profit if 𝑥 = 2000
3. You have $110 to spend at the mall and want to buy video games which are $25 and movies which are
$16 each.
a. Write an equation to represent the situation using v for video games and m for movies.
b. If you buy 2 video games how many movies can you buy? Show your work and explain your
reasoning.
c. If you don’t buy any movies how many video games can you buy? Show your work and explain
your reasoning.
4. The table below shows the number of miles driven on a road trip to Canada.
Time
0
2
4
6
8
10
12
(hrs)
Distance 0
100
210
365
550
700
810
(miles)
14
16
995
1050
a. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole
number.
b. Identify the correlation coefficient, or r-value, of the line. What does this value tell you?
c. Predict the distance traveled after 20 hours. Show your work and explain your reasoning.
5. a. What is the area of a triangle?
b. Solve the equation for the base b.
c. If you want to make a triangle with an area of 40 square inches that had a height of 5 inches, how
big would the base need to be? Use your equation in step b.
4
6. Given the equation: 𝑦 = 5 𝑥 − 3
a. What are the x and y intercepts.
b. Write the equation in standard form.
c. What is the slope of the equation?
d. Graph the equation.