1/6 Q2 Benchmark Reflect & Review

1/6 Q2 Benchmark Reflection & Review

Reflection on Q2 Benchmark

• What are the ordered pairs for this function?

• What is the difference between a relation & a function?

• What about "not"?

​

​Q2Bench2

• What are the ordered pairs for this function?

  • (1, 3), (1, 4), (0, 0), (3, 3), (4, 1)

• What is the difference between a relation & a function?

  • In a function, all of the domain/input/x values must be different.

• What about "not"?

  • "not" a function would mean the x values must "not" be different

• Correct answer is (1, 3) and (1, 4) because x values are "not" different

​

​Q2Bench2

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

Which set of values is a function?

• (9, 5) (10, 5)

  (9, -5) (10, -5)

• (3, 4) (4, -3)

  (7, 4) (3, 8)

• (6, -5) (7, -3)

  (8, -1) (9, 1)

• (2, -2) (5, 9) (5, -7) (1, 4)

• How do we measure speed or rate of travel?

• How do we find a rate from the graph of a line?

• What is the rate for each graph?

​

Q2Bench10

Q2Bench10

• What is the rate for each graph? (choose any y over its matching x value)

  • top left: 10/5 = 2 miles/min

  • top right: 10/10 = 1 mile/min

  • bottom left: 30/10 = 3 miles/min

  • bottom right: 30/20 = 1.5 miles/min

• Correct answer is bottom left since 3 miles/min is the fastest rate or speed.

​

Q2Bench10

• How do we find a rate from a linear equation?

• What is Alfred's rate?

• How do we find a rate from the graph of a line?

• What is Eliza's rate?

​

​Q2Bench12

• How do we find a rate from a linear equation?

  • for y = mx + b, the rate would be m (the coefficient of x)

• What is Alfred's rate?

  • Alfred's rate is 32 words/minute

• How do we find a rate from the graph of a line?

  • change of y divided by change of x

• What is Eliza's rate?

  • 80 words/2.5 minutes = 32 wpm

• Correct answer is Eliza can type at the same rate as Alfred since both type 32 words per minute

​

​Q2Bench12

Multiple Choice

What is the unit rate in this proportional relationship?

• 60 miles/1 hour

• 120 miles/ 2 hours

• 1 mile/ 1 hour

Multiple Choice

What was Brian's unit rate?

• 3/2 word per minute

• 30 minutes per word

• 60 minutes per word

• 30 words per minute

Multiple Choice

What is the unit rate for the rain fall?

• 2 cm per hour

• 1 cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

Multiple Choice

Which statement best describes the number of cans Danny drinks per week?

• 2 cans per week

• 5 cans per week

• 10 cans per week

• 20 cans per week

• ​What is the starting amount/length? Is the starting length constant or does it change?

• Does the length increase or decrease each day? By how much?

​Q2Bench16

• What is the starting amount/length? Is the starting length constant or does it change?

  • the starting length is 10 inches

  • the overall length will change, but the length Theresa started with will always be 10" (constant)

• Does the length increase or decrease each day? By how much?

  • since her hair is growing, it is increasing in length (addition)

  • the length increases 0.02 inches/day (rate = slope)

• The correct answer is L = 10 + 0.02d (therefore, none of these answers was correct)

​

​Q2Bench16

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y = 15x

• y = 15x + 80

• y = x + 15

• y = 80x + 15

Multiple Choice

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Multiple Choice

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.