Free Printable Algebra Linear Functions Mid-Chapter Review

1.

Which point lies on the graph of the line $y=3x-4$ ?

a)

(3, -4)

b)

(-4, 0)

c)

(-1, -7)

d)

(1, 1)

2.

A rental car company charges a flat fee of $25.00 and an additional $0.05 per mile. Which of the following functions gives the cost, c, of the rental car as a function of the number of miles, m, driven?

a)

$c=0.05m+25$

b)

$c=25m+0.05$

c)

$c=25\left(m+0.05\right)$

d)

$c=0.05m-25$

3.

Which of the following is the slope of a line that passes through the points (-4, 6) and (2, -9)

a)

$\frac{3}{2}$

b)

$-\frac{15}{2}$

c)

$-\frac{3}{2}$

d)

$-\frac{5}{2}$

4.

If a line is drawn parallel to the x-axis through the point (5, -2), then its equation would be

a)

$y=5x-2$

b)

$y=x+5$

c)

$x=5$

d)

$y=-2$

5.

A line of slope 4 passes through the point (5, 7). Which of the following is the value of its y-intercept?

a)

7

b)

-13

c)

27

d)

12

6.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

If no one left during the 60 minutes, how many people were in the stadium before the gates opened?

a)

100

b)

2500

c)

0

d)

60

7.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

Write a linear equations for the number of people, n, as a function of the time in minutes, m, since the gates were opened. How many people would be in the stadium after two hours?

a)

$n=40m+100;\ 4900\ people$

b)

$n=40m+100;\ 180\ people$

c)

$n=60m+2500;\ 2620\ people$

d)

$n=m+40;\ 160\ people$

8.

Which is the graph of $y=3$ ?

a)

b)

c)

d)

9.

Which is the graph of $x=3$ ?

a)

b)

c)

d)

10.

Which is the graph of $y=3x+1$ ?

a)

b)

c)

d)

11.

Which is the graph of $2x+2y=6$ ?

a)

b)

c)

d)

12.

What does the "b" stand for in y=mx+b?

a)

slope

b)

x-intercept

c)

y-intercept

13.

What is the slope of the line passing through the points (3,5) and (-1,7)?

a)

-1/2

b)

-1

c)

-2

d)

1/2

14.

What is the equation for the line with a slope of 7 and passes through (0,1)?

a)

y = -7x + 1

b)

y = 7x + 1

c)

y = -1/7x - 1

d)

y = -1/7x + 1

15.

Give the equation for the graph

a)

y = 5x - 3

b)

y = 4x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

16.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

17.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

18.

What is the equation of the line in the graph?

a)

y = 3

b)

x = 3

c)

x = 0

19.

Which answer choice is true?

a)

The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.

b)

The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.

c)

The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.

d)

The table does not represent a function because there is more than one output for at least one input.

20.

Which table(s) represent linear functions?

a)

Table 1, only

b)

Tables 1 and 2, only

c)

Tables 1 and 3, only

d)

Tables 1, 2 and 3.

21.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

22.

What is the equation of the line passing through points (1,1) and (3,-5).

a)

y = -3x + 4

b)

y = 3x - 4

c)

y = -3x - 4

d)

y = 3x + 4

23.

Find the slope of the line containing the points (4, -5) and (1, -3).

a)

$\frac{-3}{2}$

b)

$\frac{-5}{8}$

c)

$\frac{-2}{3}$

d)

$\frac{-8}{5}$

24.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y=15x

b)

y=15x+80

c)

y=x+15

d)

y=80x+15

25.

Which line has a slope of 0? (m = 0)

a)

A line that falls from left to right.

b)

A horizontal line.

c)

vertical line.

d)

A line that rises from left to right.

26.

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Slope: 3, y-intercept: 5

a)

y=3x+5

b)

y=-2x-9

c)

y=2/3x+3

d)

y=-5/8x-2

27.

a)

A

b)

B

c)

C

d)

D

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

The linear equation y = -6x + 5 has a slope of

a)

-6

b)

5

c)

1

d)

-6x

31.

What is the meaning of the slope in the context of the problem?

a)

It costs $3 for each book.

b)

The cost of 3 books.

c)

Each book costs $1.

d)

$1 for 3 books.

32.

Find the slope of the line.

a)

m = 1/4

b)

m = -4

c)

m = 4

d)

m = - 1/4

33.

What is the simple definition of slope?

a)

line

b)

run/rise

c)

undefinied

d)

rise/run

34.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

35.

One way to test if a graph is a function or not is by doing a __________

a)

vertical line test

b)

horizontal line test

c)

slope test

d)

intercept test

36.

The ___________ is the point where a line crosses the x-axis.

a)

y-intercept

b)

x-intercept

c)

domain

d)

range

37.

The y-intercept is the point where a line crosses the ___________.

a)

x-axis

b)

origin

c)

y-axis

d)

x-intercept

38.

The x values in a relation make up the __________

a)

range

b)

x-intercepts

c)

domain

d)

y-intercepts

39.

A function is a type of relation where every _____ has exactly one ______

a)

input/output

b)

output/input

c)

inverse/output

d)

output/inverse

40.

What is the slope of the line that passes through the points (-2, 8) and (3, -2)?

a)

-2

b)

2

c)

1/2

d)

-1/2

41.

What is the y-intercept of the function x + 3y = 6?

a)

(6, 0)

b)

(0, 18)

c)

(0, 6)

d)

(0, 2)

42.

Which of the following is true of the function 3x - 2y = 12?

a)

slope = -3/2 and y-intercept = 6

b)

slope = 3/2 and y-intercept = -6

c)

slope = 3 and y-intercept = -2

d)

slope = -3 and y-intercept = -6

43.

What is the slope of a line that passes through the points (-4, 2) and (6, 8)?

a)

$-\frac{3}{5}$

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$-\frac{5}{3}$

44.

Which of the following is the slope of the line whose equation is 3x + 6y = 30?

a)

$-\frac{1}{2}$

b)

$-2$

c)

$3$

d)

$5$

45.

Point-slope Form

a)

$y-y_1=m(x-x_1)$

b)

$y+y_1=m(x+x_1)$

c)

$x+x_1\ =\ m\left(y+y_1\right)$

d)

$x-x_1\ =\ m\left(y-y_1\right)$

46.

Slope (select all that are correct)

a)

rise over run

b)

change in y over change in x

c)

$m=\frac{\Delta y}{\Delta x}$

d)

$m=\frac{y_2-y_1}{x_2-x_1}$

47.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

48.

Which is a point on the graph of y -1 = 5(x+2)?

a)

(-2, 1)

b)

(1, -2)

c)

(-2, -1)

d)

(-1, 2)

49.

Slope-intercept Form

(a)

50.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

51.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

52.

What is the point slope form equation through the point (4, -8) with a slope of -2?

a)

$y-4\ =\ -2\left(x-8\right)$

b)

$y+4\ =\ -2\left(x+8\right)$

c)

$y+8=-2\left(x-4\right)$

d)

$y-8=-2\left(x+4\right)$

53.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

54.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

55.

Level 3: Write the equation of the line in Point-Slope Form.

a)

y=-3/4(x-2)

b)

y-2=3/5(x-5)

c)

y=3/5x-1

d)

y-5=3/5(x-2)

56.

Level 4: Which is NOT a correct point-slope equation for the line?

a)

y - 0 = 1/2(x + 2)

b)

y - 1 = 1/2(x - 0)

c)

y + 2 = 1/2(x + 2)

d)

y - 2 = 1/2(x - 2)

57.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

58.

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

59.

What is the x intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

60.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

Algebra Linear Functions Mid-Chapter Review

Total questions: 60

Worksheet time: 2hrs 13mins

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