Free Printable Unit 4: Linear Functions Study Guide

Worksheets

Unit 4: Linear Functions Study Guide

Total questions: 45

Worksheet time: 1hrs 21mins

Name

Class

Date

What is the slope of the line with the equation y = 4x + 12

1/4

-4

-1/4

An airplane is flying at 20,000 ft and needs to ascend up to 35,000 ft to avoid a storm that is up ahead. The plane rises at a rate of 3,000 ft per minute. Which equation shows the height H of the plane after x minutes

H = 3,000x + 20,000

H = 3,000x + 35,000

H = 20,000x + 3,000

H = 35,000x + 3,000

A balloon is released from the top of a building that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Which equation represents the situation?

y = 4x + 50

y = - 4x + 50

y = 50 - 4x

y = 4x - 50

A swimming pool had a leak. After 2 hours it had 800 gallons in it and then after 6 hours it had gone down to 600 gallons. Which equation represents this situation?

y = - 50x + 900

y = - 200x + 900

y = 200x

y = 4x

What is the m and b? (rewrite first)

6 - y = 2x

m = 2 b = -6

m = -2 b = 6

m = -2 b = -6

m = 2 b = 6

What is the m and b? (rewrite first)

1/2x - 3 + y = 0

m = 1/2 b = -3

m = -1/2 b = 3

m = 1/2 b = 3

m = -1/2 b = -3

Write in slope intercept form
-4x + 2y = -6

y = -2x + 3

y = 2x + 3

y = 2x - 3

y = -2x - 3

Write -3x-2y=2 in slope intercept form.

y = 3/2x - 1

y = -3/2x - 1

y = 3/2x + 1

y = -3/2x + 1

Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12

y = (-1/3)x - 1

y = (1/3)x - 2

y = -3x + 12

y = 3x - 1

10.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

y = -2x - 24

y = -2x + 12

y = -2x + 24

y = (1/2)x - 12

11.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

2x + 5y = 8

5x - 2y = 6

-10x - 4y = 7

-10x + 4y = 9

12.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

y=1/6x +25/6

y = 1/6x + 4

y = -6x - 2

y = -6x + 4

13.

Determine the equation of the line that is PERPENDICULAR to the line 3x + 12y = 1 and contains the point (-2, 6).

y = 4x + 6

y = 4x + 14

y = 3x + 12

y = -1/4x + 11/2

14.

which of the following is a line for a vertical equation?

y = x

x = 5

x = y + 0

y = 5

15.

what statement below is not true?

horizontal lines have zero slope

vertical lines have undefined slope

y = 7 has a zero slope

x = 0 has a zero slope

16.

which of the following passes through the origin?

y = 5

y = 5x

y = -5

x = 5

17.

Vertical or horizontal?
y = -3

vertical

horizontal

neither

18.

Vertical or horizontal?
x = 4

vertical

horizontal

neither

19.

Vertical or horizontal?
y = -6

vertical

horizontal

neither

20.

Vertical or horizontal?
y = 2x + 3

vertical

horizontal

neither

21.

What is the equation of a line with a zero slope that goes through the point
(6, 7) ?

x = 6

x = 7

y = 6

y = 7

22.

What is the equation of a line with an undefined slope that goes through point
(-3,5)?

x = -3

x = 5

y = -3

y = 5

23.

Number of pets a person has and number of books a person has read

Positive Correlation

Negative Correlation

No Correlation

24.

Number of days absent from school vs. math average

Positive Correlation

Negative Correlation

No Correlation

25.

Distance traveled vs. amount of gas in the car

Positive Correlation

Negative Correlation

No Correlation

26.

Hours of studying vs. grades

Positive Correlation

Negative Correlation

No Correlation

27.

Write the equation that best matches the graph shown.

y = 4x

y = 4x - 3

y = 4/3 x + 4

y = 4/3 x - 3

28.

Write the equation of the line.

y= -1x-3

y= -3x-1

y=(-1/3)x-1

y= -3x-3

29.

Which equation represents the following graph?

y = 3x + 2

y = -2x + 3

y = 2x + 3

y = -3x + 2

30.

Which equation best represents the relationship between x and y in the table shown?

y=5x + 10

y=1/5x+5

y= 5x+5

y=10x+5

31.

What is the slope?

1/2

32.

What is the slope?

-21

-17

1/4

33.

What is the slope?

1/2

1.5

34.

$y=\frac{-2}{7}x+4$ and $y=\frac{7}{2}x-3$ are parallel lines

True

False

35.

$y=3x+2$ and $y=3x-3$
These lines are...

the same line

perpendicular

neither

parallel

36.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

Parallel

Perpendicular

Neither

37.

Positive correlation

Negative correlation

No correlation

38.

Positive correlation

Negative correlation

No correlation

39.

Positive correlation

Negative correlation

No correlation

40.

Positive correlation

Negative correlation

No correlation

41.

Positive correlation

Negative correlation

No correlation

42.

What is the constant of proportionality (in miles per hour) based on the table?

135

43.

What is the constant of proportionality?

44.

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

34.04

90.00

1,285.35

44,444.44

45.

On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?

27 cm

675 cm

529 cm

32 cm

Reset

Unit 4: Linear Functions Study Guide

Total questions: 45

Worksheet time: 1hrs 21mins

Similar Resources on Wayground