Free Printable 3.1-3.5 + 5.6 Graphing Linear Functions & Inequalities

Worksheets

3.1-3.5 + 5.6 Graphing Linear Functions & Inequalities

Total questions: 32

Worksheet time: 1hrs 26mins

Name

Class

Date

What is the domain of the graph below?

$-4<x<2$

$2<y<6$

$-4\le x\le2$

$2\le y\le6$

What is the Range of this linear function?

-6 ≤ y ≤ 6

0 ≤ y ≤ 6

No Solution

4 ≤ y ≤ 3

Which of the following is a function?

What is the range of the graph?

y≥1

x≥1

All real numbers

none of these

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

Find the slope.

3/2

-3/2

(-0,-3)

none of the above

Write in slope intercept form
5x - 3y = -9

y = (5/3)x - 3

y = (5/3)x + 9

y = (5/3)x + 3

y = (3/5)x + 3

Which is the graph of y= -x + 1?

Find the slope of the line.

Undefined

-1

10.

Find the slope of the line.

Undefined

-1

11.

Which could be the graph of the equation y = 1/3x - 2?

12.

Find the slope.

-2

¹/₂

-¹/₂

13.

Which statement matches the graph?

Taylor can write 6 words per minute

Taylor can write 25 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

14.

What is the meaning of the y-intercept?

The weight in the bucket increases by 1 pound per pound of sand.

Before sand is put in the bucket, it weighs 1 pound.

The starting weight of the sand is 1 pound.

The weight in the bucket decreases by 1 pound per pound of sand.

15.

Choose the function that is nonlinear.

y = 2x³ - x² + 5

y = 5x - 19

14x - 8 = 2y

3y = 6x + 15

16.

Why is this function linear?

This is a linear function because the y-intercept is (0,2)

This is a linear function because it forms a curved line.

This is a linear function because is does not have a constant rate of change.

This is a linear function because is has a constant rate of change.

17.

Which equation is written in STANDARD form?

y = 1/2x + 2

y - 3 = -5(x + 2)

-7x + 2y = 9

3x + 2 = y

18.

Name the x- and y-intercepts for the equation:
2x + y = 6

(0, 3) and (6, 0)

(0, -3) and (-6, 0)

(3, 0) and (0, 6)

(-3, 0) and (0, -6)

19.

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

20.

Which graph represents x=2?

21.

Let f(x) be the temperature outside x hours after 8:00 AM. What is the meaning of

$f\left(3\right)=50$ ?

At 3:00 PM it will be 50 degrees outside.

At 11:00 AM it will be 50 degrees outside.

The temperature at 3:00 AM and 11:00 AM is the same.

50 hours after 8:00 AM the temperature will be 3 degrees.

22.

The function

$C\left(x\right)=10x+50$

represents the cost in dollars to hire a landscaper where x is the number of hours of labor. How much will an 8 hour job cost?

$130

$80

$42

#225

23.

The function
$C\left(x\right)=17.5x-10$
represents the cost in dollars to buy x tickets to a show with a $10 off coupon. How many tickets can you buy with $130?

24.

What is f(1)?

25.

What is x if
f(x) = -2?

26.

Given g(x) = 4x - 7, find g(-9).

g(-9) = 29

g(-9) = -43

g(-9) = 43

g(-9) = -29

27.

Name the INDEPENDENT variable from the table below.

words

minutes

28.

Which point below is NOT part of the solution set?

(0, 0)

(-10, -10)

(-1, 5)

(5, 20)

29.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

x + 2y < 240

x + 2y > 240

x + 2y ≤ 240

x + 2y ≥ 240

30.