Benchmark Review

Benchmark Review

Let's review together to show our greatness for our 2nd Quarterly Benchmark!

You will need:

-Paper and pencil

-Virtual calculator (desmos.com/calculator)

-Desire to succeed!

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)

Multiple Choice

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

Multiple Choice

Is this relation a function?

• Function
• Not a Function

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

Solving Equations

Check out the helpful hints.

Multiple Choice

7w + 5 = 3w - 15

• 5

• -2

• 2

• -5

Multiple Choice

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

• Subtracted 2x from both sides of the equation

• Subtracted 9 from both sides of the equation

• Multiplied both sides of the equation by 3

• Added -3 to both sides of the equation

Dilations!

• Dilate ΔABC by a scale factor of 2

  original --> image

• A (0,1) --> A'(0,2)

• B (2,2) --> B'(4,4)

• C (2,1) --> C'(4,2)

Multiple Choice

• I don't know

Multiple Choice

Find the coordinates after a dilation using a scale factor of 3.

A(2, 5) B(-3, 4) C(-8, -4)

• A'(6, 15) B'(-9, 12) C'(-24,-12)

• A'(-6, -15) B'(9, 12) C'(24, 12)

• A'(4, 10) B'(-6, 8) C'(-16, -8)

• A'(-4, -10) B'(6, -8) C'(16, 8)

Multiple Choice

The red line represents the line of best fit for the scatter plot. How many ice cream sales are expected if the temperature is 90°?

• 55
• 0
• 103
• 100

Multiple Choice

1.  Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam? 

• 65
• 92
• 70
• 76

Multiple Choice

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 

• A. 50 min
• B. 80 min
• C. 45 min
• D. 60 min

Multiple Choice

What is a line of best fit used for?

• To make predictions
• To make the graph look pretty
• To connect the points
• To make it look like you know what you are doing

Calculating slope

Slope can be represented and identified in a variety of ways

Multiple Choice

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

• $15 per hour
• $2.25 per hour
• $17.25 per hour
• $1 per hour

Multiple Choice

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. (**HINT** Look for key words to identify your rate of change (m) and initial value (b).

• y = 20x + 30

• y = 30x + 20

• y = 50x

• y = 60x

Multiple Choice

What is the slope of this graph? (Hint: Rise/run)

First step: identify two points.

• 3/2

• -2

• 2/3

• -2/3

Multiple Choice

Given the equation: y = 1/3 x - 2

What is the y-intercept?

• 0

• 1/3

• 2

• -2

Multiple Choice

• Taylor can write 6 words per minute
• Taylor can write 25 words per minute
• Taylor can write 50 words per minute
• Taylor can write 150 words per minute

Multiple Choice

Solve this system of equations graphically:

• (3, 2)

• (-2, 2)

• (2, 3)

• (2, 2)

Multiple Choice

Answer the question presented with the graph:

• 15

• 30

• 33

• 24