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1.1a: Linear Relationships

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Which of the following is an increasing relationship?

a)

y = 3x - 9

b)

y = -3x + 9

c)

y = 3

d)

y = -3x - 9

2.

Which of the following is a decreasing relationship?

a)

y = 7x + 3

b)

y = 3x + 7

c)

y = -3x - 7

d)

y = 7

3.

Mrs. Lundeen is reading a 526 page book at a rate of 39 pages per hour. Which equation shows how many pages she has read?

a)

y = 526 + 39x

b)

y = 526 - 39x

c)

y = 39x

d)

y = 526x

4.

Mrs. Lundeen is reading a 526 page book at a rate of 39 pages per hour. Which equation shows how many pages she has REMAINING?

a)

y = 39x

b)

y = 526x

c)

y = 39x + 526

d)

y = 526 - 39x

5.

Which of the following could be an equation of the graph?

a)

y = 3 + x

b)

y = 3x

c)

y = -3x

d)

y = 3 - x

6.

Which of the following could be an equation for the graph?

a)

y = 9 - 0.5x

b)

y = 9 + 0.5x

c)

y = 9

d)

y = 0.5x

7.

Mr. Kruize is draining his swimming pool for the fall. His 14,000 gallon pool is draining at a rate of 2,400 gallons per hour. Which equation shows how many gallons are REMAINING in the pool.

a)

y = 14,000 - 2,400x

b)

y = 14,000 + 2,400x

c)

y = 2,400x

d)

y = 14,000

8.

Consider the equation: y = 12 - 3x

What does the 12 indicate about the graph of the equation?

a)

The graph will have a y-intercept of 12.

b)

The graph will be increasing.

c)

The graph will be a vertical line at x = 12

d)

The graph will be a horizontal line at y = 12

9.

Consider the equation: y = 12 - 3x

What does the -3 indicate about the graph of the equation?

a)

The graph will have a y-intercept of -3.

b)

The graph will be decreasing.

c)

The graph will be a vertical line at x = -3.

d)

The graph will be a horizontal line at y = -3.

10.

Mrs. Johnson is spending the weekend baking cookies. If she baked 60 cookies on Saturday and then bakes 12 cookies per hour on Sunday, how many total cookies will she have baked after 3 hours on Sunday?

a)

60

b)

63

c)

36

d)

96

11.

Mrs. Johnson is spending the weekend baking cookies. If she baked 60 cookies on Saturday and then bakes 12 cookies per hour on Sunday, which equation shows how many total cookies she has baked?

a)

y = 60 + 12x

b)

y = 12x

c)

y = 60x

d)

y = 60 - 12x

12.

Mr. Kruize is running a marathon, which is about 26 miles. If he runs at a rate of 6 miles per hour, which equation shows the distance REMAINING?

a)

y = 26 - 6x

b)

y = 6x + 26

c)

y = 6x - 26

d)

y = 6x

13.

Mr. Kruize is running a marathon, which is about 26 miles. If he runs at a rate of 6 miles per hour, how long will it take him to finish?

a)

between 3-4 hours

b)

between 4-5 hours

c)

between 5-6 hours

d)

betweeen 6-7 hours

14.

The Buffalo football team is hosting a car wash for the weekend. If they washed 34 cars on Saturday and are washing cars at a rate of 3 per hour on Sunday, which equation shows how many total cars they have washed?

a)

y = 34 + 3x

b)

y = 34 - 3x

c)

y = 3x

d)

y = 34

15.

Mr. Hermanson is going on a road trip. He is driving to Fargo, ND, which is about 250 miles away. If he drives 60 mph, which equation shows the distance REMAINING?

a)

y = 60x + 250

b)

y = -60x + 250

c)

y = 60x

d)

y = -60x