8th Grade Unit 2 Spiral

Imagine a friendly race between Grace, Benjamin, and Daniel. Grace runs at a pace of 7 miles per hour, while Benjamin's pace is represented by the equation y = 6x, where y is the distance in miles and x is the time in hours. Who do you think is the fastest runner?

• Grace, because she runs at a pace of 6 miles per hour.

• Benjamin, because he runs at a pace of 6 miles per hour.

• Grace, because she runs at a pace of 7 miles per hour.

• Benjamin, because he runs at a pace of 7 miles per hour.

Sophia and Liam are on a treasure hunt. They found a clue which says 'x + y = -1'. They need to convert this standard form equation into slope-intercept form to find the next clue. Can you help Avery to solve this for them?
x + y = -1

• y = x - 1

• y = 27, 239, 430

• y = -1x

• y = -x - 1

Sophia and Mason are having a friendly debate. Sophia thinks the function represented by the graph is linear, but Mason believes it's nonlinear. Who do you think is correct?

• Sophia (Linear)

• Mason (Nonlinear)

Scarlett, David, and Emma are having a debate about a table of values they found in their math homework. Which statement is true?

• Scarlett says, 'The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.'

• David argues, 'The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.'

• Emma disagrees and says, 'The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.'

• David then suggests, 'The table does not represent a function because there is more than one output for at least one input.'

Noah, Evelyn, and Olivia are on a treasure hunt. They found a mysterious note with sets of coordinates. They believe one of these sets will lead them to the treasure. Can you help them figure out which set of coordinates 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)

Isla, Ethan, and Olivia are on a treasure hunt. They found a clue that reads: 'Convert the standard form equation into slope-intercept form: 3x + 2y = 6'. Can you help them solve this clue?

• y = -3/2x + 3

• y = 3/2x + 3

• y = 3x + 2

• y = 2x + 3

Charlotte, Mia, and Henry are having a friendly debate. They are trying to figure out if the function represented by the equation y = 2x^2 + 3x + 4 is linear or nonlinear. Can you help them settle this?

• linear

• nonlinear

Imagine this! Michael is cycling at a speed of 10 miles per hour, while his friend Aria cycles at a speed represented by the equation y = 9x, where y is the distance in miles and x is the time in hours. Who do you think is the faster cyclist?

• Michael, because he cycles at a speed of 9 miles per hour.

• Aria, because she cycles at a speed of 9 miles per hour.

• Michael, because he cycles at a speed of 10 miles per hour.

• Aria, because she cycles at a speed of 10 miles per hour.