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Mathematics
8th
grade
Review - Check In - Linear Equations - Application
20 questions
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- 1. Multiple Choice
Justin travels 600 miles in 12 hours. What is his rate of change or speed?
40 miles per hour
50 miles per hour
55 miles per hour
60 miles per hour
- 2. Multiple Choice
Find the rate of change for the cost and number of games represented in the graph.
- 3. Multiple Choice
The graph displays the total cost over time. Which statement best describes the relationship between cost and the amount of time?
The more time you spend, the more it costs.
The less time you spend, the more it costs.
The more time you spend, the less it costs.
The less time you spend, the less time you have.
- 4. Multiple Choice
The graph shows the cost of going to a theme park. Which statement is true?
The cost per ticket is $20.
The slope of the graph is zero.
The graph has a positive rate of change.
The graph has a negative rate of change.
- 5. Multiple Choice
It is the amount they started with.
It is the amount that still needs to be raised.
It is the amount that is leftover.
It is the amount they raise each week.
- 6. Multiple Choice
The price of apples went from $0.35 per lb to $0.85 per lb in five years. Find the rate of change of the price of apples.
$0.05 per pound per year
$0.10 per pound per year
$0.15 per pound per year
$0.20 per pound per year
- 7. Multiple Choice
Damien is going to charge an initial fee $15, plus an hourly rate. He knows he wants to charge a total of $50 to mow his neighbor's yard, and it will take him 2 hours to complete.
At the same rate, how much should he charge another customer for a 4 hour job?
$85
$17.50
$70
$75
- 8. Multiple Choice
Fabric costs $4 per yard. The equation y=4x relates the cost of fabric (y) and the number of yards purchased (x). Identify the unit rate in the equation.
x
4x
4
y
- 9. Multiple Choice
Josmel is tracking the progress of a tomato plant growth. Josmel starts the experiment with the tomato plant at 6 inches high. The plant grows 3 inches per day. The model for the plant growth "y" is given by: y=3x+6. What is the meaning of the y-intercept in this equation?
the y-intercept is the starting date
the y-intercept is 3 times greater than 6
the y-intercept is the starting height of the plant
the y-intercept is the largest height the plant can grow
- 10. Multiple Choice
There are 5 caterpillars in each tree, and there are 10 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of trees, t. Choose the equation which represents the rule.
c = 5t + 5
c = 10 − 5t
c = 5t − 10
c = 5t + 10
- 11. Multiple Choice
There are 2 cats on each house roof, and there are 15 cats on the ground. The table shows how the number of cats, c, depends on the number of houses, h. Choose the equation which represents the rule.
c = 2h + 2
c = 15 - 2h
c = 2h − 15
c = 2h + 15
- 12. Multiple Choice
Ari works at a car dealership. She earns a base salary of $30,000 plus commision per car sold which can be modeled by the equation y=0.2x+30,000. What is the meaning of the y-intercept in the equation?
Ari's base pay
Ari's total sales
Ari's commision pay
highest pay Ari can earn
- 13. Multiple Choice
To enter the Coweta County Fair, Aiden must pay an entrance fee and pay for number of ride tickets he wants. Admission to the fair is given by the equation f(x)=.75x+15, where x represents the number of tickets purchased and f(x) represents the total price. How much is the entrance fee?
$0.75
$15.75
$15
not enough information
- 14. Multiple Choice
Deonta is a real estate agent. He earns a base salary of $10,000 plus commission for every house he sells. The expression gives the amount Deonta earns if he sells x number of houses in a month.
10,000 + 2,500x
Based on the expression, how much commision does he earn for each house sold?
$0
$10,000
$2,500
$12,500
- 15. Multiple Choice
The population of Newnan is growing at a constant rate. The expression represents the increase in population in x years.
39,000 + 1,200x
What is the initial population of Newnan?
39,000
1,200
40,200
0
- 16. Multiple Choice
The graph shows the relationship between minutes and height above the canyon floor during Alijah's hike.
Which statement correctly describes the relationship shown in the graph?
Alijah started at 400 feet, and increased in elevation 20 feet each minute.
Alijah started at 360 feet, and increased in elevation 20 feet each minute.
Alijah started at 400 feet, and decreased in elevation 20 feet each minute.
Alijah started at 360 feet, and decreased in elevation 20 feet each minute.
- 17. Multiple Choice
Kai'Leia rents a kayak for $20 plus $5 per hour. Which type of equation is most suitable for modeling cost of renting a kayak?
radical
linear
rational
exponential
- 18. Multiple Choice
Which situation matches the graph?
The membership fee to gaming world costs $5 and each game rented is $20.
The membership fee to gaming world cost $20 and each game rented is $2.
The membership fee to gaming world cost $20 and each game rented is $5.
The membership fee to gaming world cost $20 and each game rented is $10.
- 19. Multiple Choice
Brysen opened a savings account and made a deposit every month. Which situation represents the graph?
Brysen has $0 in his savings account and deposits $50 each month.
Brysen has $50 in his savings account and deposits $50 each month.
Brysen has $50 in his savings account and deposits $2 each month.
Brysen has $50 in his savings account and deposits $100 each month.
- 20. Multiple Choice
Which situation relates to the graph?
Jemison is draining her pool. The pool has 4,500 gallons of water, and 10 gallons are drained every minute.
Jemison is draining her pool. The pool has 5,000 gallons of water, and 10 gallons are drained every minute.
Jemison is draining her pool. The pool has 5,000 gallons of water, and 10 gallons are added every minute.
Jemison is draining her pool. The pool has 500 gallons of water, and 10 gallons are drained 50 every minutes.
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