Free Printable Linear Functions and Graphing Skills

1.

Given the linear equation $y = 2x + 3$ , create an x-y table for $x = -1, 0, 1$ .

a)

$(-1, 1), (0, 3), (1, 5)$

b)

$(-1, 5), (0, 3), (1, 1)$

c)

$(-1, 3), (0, 2), (1, 1)$

d)

$(-1, 0), (0, 2), (1, 4)$

2.

Identify the x-intercept of the equation $3x - 4y = 12$ .

a)

$(0, 3)$

b)

$(4, 0)$

c)

$(0, -3)$

d)

$(0, 4)$

3.

Identify the y-intercept of the equation $2x + 5y = 10$ .

a)

$(0, 2)$

b)

$(5, 0)$

c)

$(0, -2)$

d)

$(2, 0)$

4.

Convert the equation $4x - 2y = 8$ to slope-intercept form.

a)

$y = 2x - 4$

b)

$y = -2x + 4$

c)

$y = 2x + 4$

d)

$y = -2x - 4$

5.

Calculate the slope of the line passing through the points $(2, 3)$ and $(4, 7)$ .

a)

$1$

b)

$2$

c)

$3$

d)

$4$

6.

Graph the equation $y = -\frac{1}{2}x + 3$ using the slope and intercept. What is the y-intercept?

a)

$3$

b)

$-\frac{1}{2}$

c)

$-\frac{3}{2}$

d)

$2$

7.

Create an x-y table for the equation $y = -x + 2$ for $x = -2, 0, 2$ .

a)

$(-2, 4), (0, 2), (2, 0)$

b)

$(-2, 0), (0, 2), (2, 4)$

c)

$(-2, 2), (0, 0), (2, -2)$

d)

$(-2, 0), (0, -2), (2, -4)$

8.

Identify the x-intercept of the equation $5x + 2y = 10$ .

a)

$(2, 0)$

b)

$(0, 5)$

c)

$(5, 0)$

d)

$(0, 2)$

9.

Identify the y-intercept of the equation $x - 3y = 9$ .

a)

$(0, -3)$

b)

$(0, 3)$

c)

$(3, 0)$

d)

$(0, -9)$

10.

Convert the equation $6x + 3y = 9$ to slope-intercept form.

a)

$y = -2x + 3$

b)

$y = 2x - 3$

c)

$y = -2x - 3$

d)

$y = -2x + 3$

11.

Calculate the slope of the line passing through the points $(-1, -1)$ and $(2, 3)$ .

a)

$1$

b)

$2$

c)

$3$

d)

12.

Graph the equation $y = \frac{3}{4}x - 1$ using the slope and intercept. What is the slope?

a)

$\frac{3}{4}$

b)

$-\frac{3}{4}$

c)

$1$

d)

$-1$

13.

Identify the x-intercept of the equation $7x - 3y = 21$ .

a)

$(3, 0)$

b)

$(0, 7)$

c)

$(7, 0)$

d)

$(0, 3)$

14.

Identify the y-intercept of the equation $4x + y = 8$ .

a)

$(0, 4)$

b)

$(0, 8)$

c)

$(4, 0)$

d)

$(8, 0)$

15.

Which equation is being represented by this line?

a)

y = -1x + 2

b)

y = 1/2x + 2

c)

y = 3x -4

d)

y = -3x +2

16.

Find the x and y intercepts
4x - 5y = 40

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

17.

Find the slope of the line.

a)

3/2

b)

-3/2

c)

2

d)

-2

18.

Which equation represents the graph?

a)

x = 2

b)

y = 2

c)

y = 2x

d)

y = undefined

19.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

20.

Graph

a)

b)

c)

d)

21.

Y-intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

ends

22.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

23.

The table shows pairs of values that satisfy a linear function. What is the y-intercept of the graph of this function?

a)

(0, 1)

b)

(0, 0)

c)

(0, -1)

d)

(0, -10)

24.

What is the slope of the line

a)

-2/3

b)

2/3

c)

3/2

d)

-3/2

25.

Find the slope of the table.

a)

5/2

b)

2/5

c)

-5/2

d)

-2/5

26.

Find the slope from the table.

a)

1/2

b)

5/10

c)

-2

d)

2

27.

Find the slope through these two points.

a)

-8/3

b)

8/3

c)

-2/3

d)

2/3

28.

Find the slope of the given line.

a)

1/4

b)

4

c)

-1/4

d)

-4

29.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

30.

Find the slope

a)

-5/7

b)

7/5

c)

-7/5

d)

5/7

31.

Find the slope of the line.

a)

2/7

b)

-2/7

c)

7/2

d)

-7/2

32.

Find the slope of the graphed line.

a)

-\frac{2}{3}

b)

$-\frac{3}{2}$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

33.

Which of the following is NOT THE SAME as slope?

a)

rise over run

b)

change in y over change in x

c)

d)

run over rise

34.

Which of the following is NOT THE SAME as $-\ \frac{2}{3}$ ?

a)

$\frac{2}{3}$

b)

$\frac{-2}{3}$

c)

$\frac{2}{-3}$

d)

$\frac{-2}{-3}$

35.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

36.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

37.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

38.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

39.

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

40.

Identify the common difference.
3, 7, 11, 15, ...

a)

6

b)

5

c)

4

d)

2

41.

Is the following sequence arithmetic?
1, 4, 9, 16, ...

a)

YES

b)

NO

42.

When using sequences, a₁refers to the

a)

common difference

b)

first term of the sequence

c)

rate of change

d)

a to the first power

Linear Functions and Graphing Skills

Total questions: 42

Worksheet time: 1hrs 22mins

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