Free Printable Equations of Linear Functions

1.

What is the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin?

a)

$y=4x$

b)

$y=\frac{1}{4}x$

c)

$y=x+\frac{1}{4}$

d)

$y+\frac{1}{4}=x$

2.

Which equation is graphed above?

a)

y – 2x = –4

b)

2x + y = –4

c)

2x + y = 4

d)

y – 4 = 2x

3.

Which is an equation of the line that passes

through (4, –5) and (6, –9)?

a)

$y=\frac{1}{2}x-3$

b)

$y=\frac{1}{2}x+3$

c)

$y=-2x+3$

d)

$y=2x-3$

4.

What is the standard form of the equation of the line through (6, –3) with a slope of 2/3 ?

a)

–2x + 3y = 24

b)

2x – 3y = 21

c)

3x – 2y = 24

d)

3x – 2y = –21

5.

Which is an equation of the line with a slope of -3 that passes through (2, 4)?

a)

y – 4 = –3(x – 2)

b)

y – 4 = –3x – 2

c)

y + 4 = –3(x + 2)

d)

y – 2 = –3(x – 4)

6.

What is the equation of the vertical line through (–2, –3)?

a)

x = –2

b)

y = –3

c)

–2x – 3y = 0

d)

–3x + 2y = 0

7.

Find the slope-intercept form of the equation of the line that passes through (–1, 5) and is parallel to 4x + 2y = 8.

a)

y = –2x + 9

b)

y = 2x – 9

c)

y = 4x – 9

d)

y = –2x + 3

8.

If line q has a slope of –2, what is the slope of any line perpendicular to q?

a)

2

b)

-2

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

9.

The graph of data that has a strong negative correlation has

a)

a narrow linear pattern from lower left to upper right.

b)

a narrow linear pattern from upper left to lower right.

c)

a narrow horizontal pattern below the x-axis.

d)

all negative x-values.

10.

Which data are shown by the scatter plot?

a)

(1985, 47), (1995, 31), (2001, 24)

b)

(1985, 50), (2000, 25), (2005, 0)

c)

(47, 1985), (31, 1995), (24, 2001)

d)

(1991, 45), (1995, 35), (2000, 8)

11.

Based on the data in the scatter plot, which statement is true?

a)

As x increases, y increases.

b)

As x increases, y decreases.

c)

There is no relationship between x and y.

d)

There are not enough data to determine the relationship between x and y.

12.

Based on the scatter plot, what would you expect the y-value to be for

x = 1992?

a)

between 25 and 30

b)

higher than 45

c)

between 30 and 40

d)

impossible to tell

13.

A baby blue whale weighed 3 tons at birth. Ten days later, it weighed 4 tons. Assuming the same rate of growth, which equation shows the weight w when the whale is d days old?

a)

w = 10d + 3

b)

w = 10d + 4

c)

w = 0.1d + 3

d)

w = d + 10

14.

Find the inverse of {(2, –1), (5, –2), (6, 9), (7, 5)}.

a)

{(7, 5), (6, 9), (5, –2), (2, –1)}

b)

{(–2, 1), (–5, 2), (–6, –9), (–7, –5)}

c)

{(–1, –2), (9, 5), (2, 5), (6, 7)}

d)

{(–1, 2), (–2, 5), (9, 6), (5, 7)}

15.

$If\ f\left(x\right)=4x+3,\ find\ f^{-1}\left(x\right).$

a)

$f^{-1}\left(x\right)=4x-3$

b)

$f^{-1}\left(x\right)=\frac{x-4}{3}$

c)

$f^{-1}\left(x\right)=\frac{x-3}{4}$

d)

$f^{-1}\left(x\right)=-3-4x$

16.

$If\ f\left(x\right)=7\left(2x-9\right),\ find\ f^{-1}\left(x\right).$

a)

$f^{-1}\left(x\right)=\frac{x+9}{3}$

b)

$f^{-1}\left(x\right)=\frac{2x+9}{7}$

c)

$f^{-1}\left(x\right)=\frac{x+63}{14}$

d)

$f^{-1}\left(x\right)=\frac{x-63}{14}$

Equations of Linear Functions

Total questions: 16

Worksheet time: 8mins

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