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Linear Relationships
Volume
Functions
100
What is the y-intercept in the following equation? y = 5.2x - 8
-8
100

Find the volume of a rectangular prism that has the following dimensions: length = 3 feet width = 6 feet height = 10 feet

180 cubic feet

100

is the following a function? Why or why not? (Note: you must explain why or why not to get the points for this problem) y = 0

Yes because each x value has one and only one y value.

200
Solve the following equation: y = 3.5x - 2 when x = 7
22.5
200

Find the volume of a cylinder that has a height of 10 inches and a diameter of 20 inches. (Use 3.14 for pi)

3,140 cubic inches

200

The following points are on a line: (4, 2) (4, 3) (4, 4) Is the line a function? Why or why not? You must correctly answer why or why not to get credit for this question.

no, because for the value x = 4 there is more than one possible y value.

300
Solve the following equation y = -8x + 7 when y = -17
x = 3
300

Find the volume of a sphere that has a diameter of 8 cm. (Use 3.14 for pi)

267.95 cubic cm (note: answers may vary slightly based on rounding)

300

What is the definition of a function?

For each x value there is one and only one corresponding y value.

400

Rearrange the equation so q is the independent variable.

-7q + 12r = 3q - 4r

r = 5/8 q

or

r = 0.625q

400

A large ice cream cone has a radius of 4cm and a height of 12 cm. What is the volume of the large ice cream cone? (Use 3.14 for pi)

200.96 cubic cm

400

Is the equation x = 6 linear? Why or why not? Is it a function? Why or why not? Answer all parts of above for credit for this question.

Yes it is linear because it forms a straight line (vertical) No it is not a function because there is more than one y value when x = 6.

500
Find the solution to the following system of equations: y = 3x + 5 and 2y = -4x - 20
(-3, -4)
500

A cube is filled with 1,331 cubic mm of air. What are its dimensions?

all sides are 11mm long

500

What is the slope of x = -10?

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