✅ Linear Relations

Which of the statements about the graph below is true?

• The graph is non-linear and has an equation of y = -x + 18.

• The graph is linear and has an equation of y = -x + 18.

• The graph is linear and has an equation of y = -2x + 18.

• None of the above statements are true.

Tags

CCSS.8.F.A.3

The side view of a wall shelf in Luke's office is shown below. The diagonal support piece is 17 centimeters, and the piece against the wall is 8 centimeters. What is the approximate measure of w, the total width of the shelf?

• 8 centimeters

• 15 centimeters

• 22 centimeters

• 26 centimeters

Tags

CCSS.8.G.B.8

Which of the following gives an example of an equation that is non-linear?

• y = 2x - 1

• y = -2x

Tags

CCSS.8.F.A.3

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher hourly rate to walk their pets than what is shown in the table?

• y = 7.25x + 20

• y = 8x + 10

• y = 7.5x

• y = -10x + 15

Find the slope and the y-intercept of the linear function shown below.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A cylinder-shaped kid's pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the kid's pool hold?

• 2,256 gallons

• 6,767 gallons

• 564 gallons

• 1,692 gallons

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which table shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3?

• A.

• B.

• C.

• D.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

• t = 45m + 23

• m = 45t + 23

• t = 23m + 45

• t = 68m

Tags

CCSS.6.EE.C.9

Which of the following sets of numbers contains only rational numbers?

What will be the value of the y-intercept in his equation?

Mathematical Equivalence

ON

Tags

CCSS.HSF.LE.B.5