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Mathematics
8th
grade
Linear MOL 3 Comparing ROC and Initial Value 2019
29 questions
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- 1. Multiple Choice
Some values of linear functions A and B are shown in the table and graph.
which of the following describes the y-intercepts of the two functions?
The y-intercept of Function A is equal the the y-intercept of function B
The y-intercept of function A is 1 unit less than the y-intercept of Function B
The y - intercept of Function A is 1 unit greater than the y-intercept of Function B.
The y-intercept of Function A is 2 units greater than the y-intercept of Function B.
- 2. Multiple ChoiceWhich panda is growing faster?MochiKappaPo the dragon warriorJack Black
- 3. Multiple ChoiceWhich company shows a greater rate of change?Water's Edge RaftsRyan's Rafts
- 4. Multiple ChoiceWhich company should you use if you rent the raft for 9 hours?Water's Edge RaftsRyan's Rafts
- 5. Multiple ChoiceFunction 1 is defined by the equation y = 2/3 x - 6, and function 2 is represented by the graph. Which statement about the function is true?Function 1 has the greater rate of change and greater y - intercept.Function 2 has the greater rate of change and greater y - intercept.Function 1 has the greater rate of change, and function 2 has the greater y - intercept.Function 2 has the greater rate of change, and function 1 has the greater y - intercept.
- 6. Multiple ChoiceWhich company pays the best pay per shift?Bombinoe's PizzaLittle Squeezer's PizzaPizza TentPapa Ron's
- 7. Multiple ChoiceWhich panda was heavier when they were born?MochiKappaPo the dragon warriorJack Black
- 8. Multiple Choice
Which function has a greater slope but smaller initial value.
y = 2x + 8.5
y = 3x + 7.5
y = 5x + 1.2
y = 10x + 5.5
- 9. Multiple ChoiceThe cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for renting 9 movies?Beth's service is cheaper (Beth charges $42 vs. Nate charges $45)Nate’s service is cheaper (Nate charges $42 vs. Beth charges $45)Nate’s service is cheaper (Nate charges $36 vs. Beth charges $45)Beth's service is cheaper (Nate charges $45 while she charges $36)
- 10. Multiple Choice
The graph of Function 1 is shown on the coordinate plane. The equation of the other functions are given.
Function 2 : y = 3 + 2x
Function 3 : y = 2x
Function 4: y = (3/2)x + 6
Which function or functions have a slope equal to the slope of function 1?
Function 2 only
Function 4 only
Function 2 and Function 3 only
Functions 2 and Functions 4 only.
- 11. Multiple ChoiceWhich panda will weigh more at 5 weeks?MochiKappaPo the dragon warriorJack Black
- 12. Multiple ChoiceWho weighed more at the beginning of the show?ValerieOscarMrs. ConteThey weighed the same
- 13. Multiple ChoiceWho is losing weight faster?ValerieOscarMrs. ConteThey are losing the same amount of weight
- 14. Multiple ChoiceWhich company pays the most per pizza?Bombinoe's PizzaLittle Squeezer's PizzaPizza TentPapa Ron's
- 15. Multiple Choice
Madison created two functions. For function A, the value of y is two less than four times the value of x. The table below represents function b.
In comparing the rates of change, which statement about Function A and Function B is true?
Function A and Function B have the same rate of change.
Function A has a greater rate of change than Function B has.
Function A and Functions B both have negative rates of change.
Functions A has a negative rate of change and Function B has a positive rate of change.
- 16. Multiple ChoiceChallenge: If Tony is going to deliver at least 20 pizza's every night, which company should he work for?Bombinoe's PizzaLittle Squeezer's PizzaPizza TentPapa Ron's
- 17. Multiple ChoiceThe function f(x) has a greater y intercept than the function g(x)The function g(x) has a greater rate of change than the function f(x)The function g(x) has a greater y intercept than the function f(x)The rate of change for both g(x) and f(x) are equal
- 18. Multiple ChoiceThe y-intercept of the function f(x) is less than the y-intercept of the function g(x)The y-intercept of the function f(x) is greater than the y-intercept of the function g(x)The y-intercept of the function f(x) is equal to the y-intercept of the function g(x)The y-intercepts cannot be determined
- 19. Multiple ChoiceThe cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month?Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.
- 20. Multiple ChoiceThe equation y = 123x describes the function for the number of toys, y, produced at Toys Plus in, x, minutes of production time. Another company, #1 Toys, has a similar function, also linear, that assigns the values shown in the table below. Which company produces toys at a slower rate?They produce toys at the same rate#1 Toys produces toys at a slower rate (123 toys per minute)Toys Plus produces toys at a slower rate (123 toys per minute)#1 Toys produces toys at a slower rate (120 toys per minute)
- 21. Multiple Choice
The equation represents linear function P and the graph represents linear function q.
Which statement is true?
Function P has the greater rate of change and the greater y-intercept.
Function q has the greater rate of change and the greater y- intercept.
Functions p has the greater rate of change and function q has the greater y- intercept
Function q has the greater rate of change, and function p has the greater y-intercept.
- 22. Multiple ChoiceThe cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?Beth's service ($38 vs. $40) is cheaperNate’s service ($42 vs. $44) is cheaperNate’s service ($38 vs. $40) is cheaperBeth's service ($42 vs. $44) is cheaper
- 23. Multiple ChoiceWhich company shows a greater rate of change?Water's Edge RaftsRyan's Rafts
- 24. Multiple ChoiceCompare the rates of change. Which statement is true about functions A and B?They have the same rate of changeA has a greater rate of change than BA and B both have negative rates of changeA has a negative ROC and B has a positive ROC
- 25. Multiple ChoiceCompare the two linear functions listed below and determine which has a greater slope.Function 1 because the slope is 12Function 2 because the slope is 1Function 1 because the slope is 1/12They are equal
- 26. Multiple ChoiceWho has the greater rate of change?Hunter has the greater rate of change.Casey has the greater rate of changeThey have the same rate of change
- 27. Multiple Choice
Compare the linear functions represented by the equation and graph below .
y = - 8x
The graph has a steeper rate of change.
The equation has a steeper rate of change.
The graph and the equation have the same rate of change.
The equation and the graph have reciprocal slopes.
- 28. Multiple Choice
which of the following scenarios has a lover y-intercept than y=4x+5
A 50 gallon tub is draining. Every 2 minutes, the amount of the water decreases by 2 gallons.
Ron had $17 in his account and for every book he buys, it costs him $4
Sydney has collected 8 postcards. each time a friend comes to visit, Sydney gives them a postcard.
Owen has 3 pets. He receives a new pet each time he has a birthday.
- 29. Multiple Choice
Bill drive his car at a constant speed while on a trip. Kevin drove his car at a different constant speed while on the same trip. The graph and the table show information about the trips of Bill and Kevin took.
Which sentence correctly compares the rates Bill and Kevin drove on their trips?
Bill drove at a rate that was 10 miles per hour slower than the rate Kevin drove
Bill drove at a rate that was 10 miles per hour faster than the rate Kevin drove
Bill drove at a rate that was 20 miles per hour slower than the rate Kevin drove.
Bill drove at a rate that was 20 miles per hour faster than the rate Kevin drove.
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