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Linear Relationships
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Functions
Pythagoras
100

What is the y-intercept in the following equation? y = 5x - 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

In function notation, f(x) is read...

f of x, or function of x

100
What is the definition of a function?
For each x value there is one and only one corresponding y value.
100
A right triangle has a base of 3 inches and a height of 4 inches. What is the length of its hypotenuse?
5 inches
200

Solve the following equation: y = 3x - 2 when x = 7

19

200
Find the volume of a cylinder that has a height of 10 inches and a diameter of 20 inches.
3,140 cubic inches
200

Given the function f(x) = -3x - 4, f(2) is

-10

200
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
A right triangle has a height of 6 cm and a hypotenuse of 10cm. What is the length of its base?
8cm
300
What is the slope of the line that passes through the points (5,7) and (9,15)?
2
300
Find the volume of a sphere that has a diameter of 8 cm.
267.28 cubic cm (note: answers may vary slightly based on rounding)
300

Given the function f(x) = -5x + 7, f(3) is...

-8

300
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
A triangle has the following dimensions: 4 cm, 5cm, 8cm Is it a right triangle? Why or why not? Note: to earn the points for this question, you must explain why or why not.
No because 4 squared plus 5 squared does not equal 8 squared.
400
Solve the following equation y = -8x + 7 when y = -17
x = 3
400
A cube is filled with 1,331 cubic mm of air. What are its dimensions?
all sides are 11mm long
400

Given the function f(x) = 9x + 3, the output value of 30 is from the input value of...

f(3) or 3

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.
400
A right triangle has a base of 12 inches and a height of 5 inches. What is its perimeter?
30 inches
500
Find the solution to the following system of equations: y = 3x + 5 and 2y = -4x - 20
(-3, -4)
500
A small ice cream cone has a radius of 3cm and a height of 10 cm. A large ice cream cone has a radius of 4cm and a height of 12 cm. How much larger is the volume of the large ice cream cone?
2.13 times larger
500

Given the function g(x) = -14x - 3, the output value of -45 is from the input value of...

3

500
What is the slope of x = -10?
undefined
500
A square has side lengths of 10 feet. What is the length of the diagonal of the square?
14.14 ft