Have an account?
Skip to Content
Build your own quiz
Suggestions for you
Mathematics
8th
grade
Slope, Y-Intercept, and Functions Review CR 3/20/18
25 questions
Show Answers
See Preview
- 1. Multiple Choice
The right triangle shown below has vertices located along a line with the coordinate points shown. Which coordinates could identify vertices of a similar right triangle located along the same line?
(−6, −4) and (−3, −2)
(0, 0) and (2, 3)
(1, 2) and (2, 3)
(−3, −4) and (2, 3)
- 2. Multiple Choice
The graph shows a dashed line on a coordinate plane. A right triangle is drawn so that the side opposite the right angle lies on the dashed line. Which right triangle has a side opposite the right angle with a slope that would lie on the dashed line shown on the graph?
- 3. Multiple Choice
If y varies directly when x is equal to 6 and y is equal to 4, what does x equal when y = 15?
17
1.6
22.5
10
- 4. Multiple Choice
A soda manufacturing plant manufactures 12,000 bottles of soda in an 8 hour shift. The soda produced varies directly with the hours worked. What is the constant of proportionality for this problem and what does it represent?
1/1500; this represents the bottles produced per hour.
1,500; this represents the number of hours needed to produce one bottle.
96,000; this represents the total number of bottles produced in 8 hours.
1,500; this represents the bottles produced per hour.
- 5. Multiple Choice
The graph models the value of a machine over a 10-year period. Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars over this 10-year period?
y = −0.002x + 2,500
y = −500x + 8,000
y = 500x + 8,000
y = 0.002x + 2,500
- 6. Multiple Choice
What is the equation of the line that contains the points (8.5, 5) and (4, 8.375)?
y = −¾x + 5.375
y = −¾x + 11.375
y = ¾x + 5.375
y = ¾x + 11.375
- 7. Multiple Choice
The data in the table represents a linear relationship. Based on the table of values, which equation can be used to describe the relationship between x and y?
y = −4.6x + 2
y = 0.22x + 21.28
y = 4.6x + 38.8
y = −0.22x + 19.52
- 8. Multiple Choice
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months?
y = 8x + 25
y = 25x
y = 25x + 505
y = 60x + 25
- 9. Multiple Choice
Based on the information, which equation, in the form y = mx + b, models the linear relationship?
y = ¼x + 1
y = 4x − 1
y = x + 4
y = 4x + 1
- 10. Multiple Choice
A graph showing the growth in the student population of Hayward Elementary since opening in 2003 is shown. Which equation can be used to describe the relationship between the number of students, y, the years the school has been opened since 2003, x?
y = 250x + 60
y = 4.5x + 210
y = 60x + 250
y = 2.5x + 400
- 11. Multiple Choice
Ms. Lowery's math class is studying functions. Ms. Lowery provides the following examples for class discussion. Which of the examples represents a functional relationship?
I, II, and III are all examples of functional relationships.
I and III both describe functional relationships.
II is the only example that correctly describes a functional relationship.
I and II both describe functional relationships.
- 12. Multiple Choice
Using the table, which statement best describes whether or not the relationship identifies a function?
The relationship in the table is a function because each x-value is paired with exactly one y-value.
The relationship in the table is a function because each x-value is smaller than the paired y-value.
The relationship in the table is not a function because each negative y-value is not paired with a negative x-value.
The relationship in the table is not a function because the x-value of 0 is not paired with a y-value of 0.
- 13. Multiple Choice
Which mapping diagram does not represent y as a function of x?
- 14. Multiple Choice
Which of the following represents a function?
{(−2, −1), (−1, 0), (0, 1), (1, 2), (2, 3), (2, 4)}
- 15. Multiple Choice
Which graph does not represent y as a function of x?
- 16. Multiple Choice
What are the rate of change and the y-intercept of the line shown in the graph below?
The rate of change is ½ and the y-intercept is 1.
The rate of change is 1 and the y-intercept is ½.
The rate of change is ½ and the y-intercept is −2.
The rate of the change is 2 and the y-intercept is 1.
- 17. Multiple Choice
The table shows the cost to travel by local taxi. Based on the data in the table, what are the slope and y-intercept?
Slope = 1.2; y-intercept = 5
Slope = 2.4; y-intercept = 9.8
Slope = 1.2; y-intercept = 9.8
Slope = 2; y-intercept = 2.4
- 18. Multiple Choice
The graph of a linear function is shown on the coordinate grid. What are the slope and y-intercept of the linear function shown in the grid?
Slope = −0.4; y-intercept = −5
Slope = 2.5; y-intercept = −5
Slope = −2.5; y-intercept = 2
Slope = 0.4; y-intercept = 2
- 19. Multiple Choice
Brenda lit a candle in her kitchen and recorded how long it took the candle to burn down. She displayed her data in the graph. What are the slope and y-intercept of Brenda's graph?
Slope = ⅓ and y-intercept = 7
Slope = −3 and y-intercept = 21
Slope = − ⅓ and y-intercept = 21
Slope = − ⅓ and y-intercept = 7
- 20. Multiple Choice
Beatrice won her town lottery. She has been awarded a monetary gift and will receive equal payments each month for the next 10 years. The table shows the total of Beatrice's winnings at the end of x months. How much was Beatrice given for winning, and how much is Beatrice given each month?
Beatrice was given $650 for winning, and she will receive a $200 payment each month.
Beatrice was given $550 for winning, and she will receive a $150 payment each month.
Beatrice was given $550 for winning, and she will receive a $200 payment each month.
Beatrice was given $650 for winning, and she will receive a $150 payment each month.
- 21. Multiple Choice
The table below shows the amount Haley earns for teaching gymnastic classes. Use the data to determine which graph has a slope that best represents the unit rate?
- 22. Multiple Choice
The student council is selling roses to collect funds for a charity. The graph below compares the number of roses purchased and total cost. Based on the information in the graph, what is the unit cost per rose?
−3
−⅓
⅓
3
- 23. Multiple Choice
The graph displays the distance a CO2 car traveled in a race. Which statement is a correct interpretation of the slope of the line of the graph?
The CO2 car traveled 5 seconds per foot.
The CO2 traveled 5 feet per second.
The CO2 car traveled 2.5 seconds per foot.
The CO2 car traveled 2.5 feet per second.
- 24. Multiple Choice
Darin recorded the height of a tree he planted from a seed at different time intervals. His data is shown in the table. Based on this information, which graph represents the height of the tree each year?
- 25. Multiple Choice
A sandbox is being filled with sand. The graph shows the height of the sand over time as the sandbox is being filled with sand. Which statement best describes the rate of change of this situation?
The height of the sand increases 50 cm per second.
The height of the sand increases 200 cm per second.
The height of the sand increases 1 cm per second.
The height of the sand increases 25 cm per second.
- Answer choicesTagsAnswer choicesTags