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Open Up - Grade 8 - Mathematics - Unit 3 - Lesson 8

Last updated 11 months ago

8 questions

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Question 1

1.

Select all equations that have graphs with the same y-intercept.

y = 5x - 8

y = 3x + 8

y = 3x - 8

y = 3x - 9

y = \frac{1}{3}x - 8

y = 2x - 8

Question 2

2.

Create a graph showing the equations y = \frac{1}{4}x and y = \frac{1}{4}X - 5. Explain how the graphs are the same and how they are different.

Question 3

3.

A cable company charges $70 per month for cable service to existing customers.

Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

Question 4

4.

A cable company charges $70 per month for cable service to existing customers.

When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Question 5

5.

A cable company charges $70 per month for cable service to existing customers.

When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Question 6

6.

Match each graph to a situation.

Draggable item		Corresponding Item
D.		2.
B.		4.
A.		1.
C.		3.

Question 7

7.

A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.

Find the elevation of the road at the point where the road begins.

Question 8

8.

A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.

Describe where you would see the point in part (a) on a graph where y represents the elevation in feet and x represents the distance along the road in miles.

"Source: Open Up Resouces (Download for free at openupresources.org.)"