Free Printable Alg 1 Test 4 Review

1.

Write the equation
y = mx + b
m = -1
(-2, 4)

a)

x = -2

b)

y = 4x - 2

c)

b = 2

d)

y = -1x + 2

2.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

3.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

4.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

5.

Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)

a)

y = 2x + 11

b)

y = 2x + 1

c)

y = 2x - 1

d)

y = 2x - 11

6.

Any point through which a line ......................., will ....................... satisfy the equation of that line.

a)

passes, always

b)

does not pass, always

c)

passes, not

d)

does not pass, sometimes

7.

Find the slope of the line that passes through:
(5, -10) and (5, -4)

a)

undefined

b)

0

c)

- 14/10

d)

10/14

8.

Find the slope of the line that passes through:
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

9.

Which of the following is the equation of the line that has a slope of 3 and passes through the point ( - 1, 9 )?

a)

y = - 3x + 12

b)

y = 3x + 3

c)

y = 3x + 12

d)

y = 3x - 3

10.

Write the slope-intercept form of the equation with the given point and slope.

m = 5 through ( - 1, - 3 )

a)

y = 5x + 2

b)

y = - 5x - 5

c)

y = - 5x + 2

d)

y = 2x - 5

11.

What is the equation of the line that goes through the points ( 3, - 1 ) and ( 2, - 4 )?

a)

y = 3x - 4

b)

y = - 3x + 8

c)

y = 3x - 1

d)

y = 3x - 10

12.

Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )

a)

y = 2x - 5

b)

y = 1/2x - 5

c)

y = 2x + 5

d)

y = 1/2x + 5

13.

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

a)

$g\left(x\right)=6x+4$

b)

$g\left(x\right)=4x-\frac{2}{3}$

c)

$g\left(x\right)=-\frac{3}{2}x+6$

d)

$g\left(x\right)=-\frac{2}{3}x+4$

14.

What are the equation and slope of the line shown on the grid?

a)

$y=6,\ slope\ is\ -\frac{1}{6}$

b)

$x=6,\ slope\ is\ zero$

c)

$y=6,\ slope\ is\ 6$

d)

$x=6\ slope\ is\ undefined$

15.

What is the strategy for graphing point-slope form?

a)

Graph the y-intercept, then use the slope to move.

b)

Divide to find the x- and y-intercepts.

c)

Graph the given point, then move according to slope.

16.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

17.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

18.

Choose the correct inequality for this graph.

a)

b)

c)

d)

19.

Where would you find a solution for

y < -x + 4

a)

In the shaded region above the line.

b)

In the shaded region below the line.

c)

On the line.

d)

On the origin.

20.

Which inequality describes this graph...

a)

y < 3x - 2

b)

y > 3x + 2

c)

y < 3x + 2

d)

y > 3x -2

21.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

22.

The graph of a linear function is always straight?

a)

true

b)

false

23.

The graph of a linear function can be shaped like a "u"

a)

True

b)

False

24.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

25.

Which represents slope in y=4x+3

a)

3

b)

4x

c)

4

d)

x

26.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

27.

If m = 1/2 and b = -4, what is the correct slope-intercept equation?

a)

y=1/2x+4

b)

y=1/2x-4

c)

y=1/2-4

d)

y=4x+1/2

28.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

29.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

30.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

31.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

32.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

33.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

34.

Select the graph for y > -2x - 3

a)

A

b)

B

c)

C

d)

D

35.

Identify the inequality.

a)

y > x+1

b)

y ≤ 1x+1

c)

y ≥ x+1

d)

y ≤ x-1

36.

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

a)

y=-1x+3

b)

y=4x+3

c)

y=¼x+3

d)

y=-4x+3

37.

Write the equation of the line.

a)

y=⅗x+1

b)

y=⅗x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

38.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

39.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

40.

Identify the slope of (-11, 10) and (-15, 13)

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

41.

Which point is apart of the solution set?

a)

(0,3)

b)

(6,0)

c)

(1,-2)

d)

(-4,5)

42.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

43.

Find the slope: $\left(-14,\ 13\right)\ and\ \left(-14,\ 17\right)$

a)

$\frac{1}{4}$

b)

Undefined

c)

$4$

d)

Zero

44.

Graph the line: $y=-\frac{1}{2}x+3$

a)

b)

c)

d)

45.

Which equation BEST fits the graph.

a)

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

b)

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

c)

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

d)

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

46.

Find the slope of the line.
Hint: $\frac{\Delta y}{\Delta x}=\frac{rise}{run}$

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$0$

47.

Find the slope.
Hint: $\frac{\Delta y}{\Delta x}=\frac{rise}{run}$

a)

$-\frac{5}{3}$

b)

$-\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{3}{5}$

48.

Find the slope:

(−4, 3) and (−4, −7)

a)

$\frac{5}{4}$

b)

$-\frac{10}{8}$

c)

Zero

d)

Undefined

49.

Which is the graph of y = −x + 2?

a)

A

b)

B

c)

C

d)

D

50.

Which graph is correct for the given equation?

a)

b)

c)

d)

51.

For an equation to be directly proportional, it must .......

a)

pass thru two points

b)

pass thru the origin

c)

be positive

d)

not have a fraction

52.

Determine if the relationship between the two quantities is a direct variation. Explain your reasoning.

a)

no, there is no constant of variation

b)

yes, the constant of variation is 100

c)

yes the constant of variation is 50

53.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

54.

Write the equation for the table given.

a)

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

b)

$y=3x$

c)

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

d)

$y=-2x$

55.

What is the slope of the following linear graph?

a)

$m=-2$

b)

$m=-1$

c)

$m=2$

d)

$m=1$

56.

What is the y-intercept of the following linear graph?

a)

$\left(0,-2\right)$

b)

$\left(0,-1\right)$

c)

$\left(0,2\right)$

d)

$\left(0,1\right)$

57.

What is the equation of the linear function graphed?

a)

$y=-\frac{2}{3}x+5$

b)

$y=-\frac{3}{2}x-5$

c)

$y=\frac{3}{2}x+5$

d)

$y=\frac{2}{3}x+5$

58.

What is the equation of the red graph pictured?

a)

y = -4

b)

x = -4

c)

y = 4

d)

x = 4

59.

What is the y-intercept in the equation

y= - 2x

a)

-2

b)

-2x

c)

0

d)

1

60.

y -intercept is where the line ______________.

a)

begins

b)

crosses the x-axis

c)

crosses the y-axis

d)

crosses each other

61.

When you graph a line using slope-intercept form (y=mx+b), you graph the ___________ first and then use the ___________ to find the second point.

a)

origin; slope

b)

slope; y-intercept

c)

y-intercept; x-intercept

d)

y-intercept; slope

62.

Consider the equation:
y = -5x + 4
Identify the slope and y-intercept.

a)

m=4, b=x

b)

m=-5x, b=4

c)

m=5, b=4

d)

m=-5, b=4

63.

Find the slope of the line.

a)

Undefined

b)

0

c)

2

d)

-1

64.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

65.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

66.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

x-intercept

d)

standard form

67.

Graph y = -3

a)

A

b)

B

c)

C

d)

D

68.

Graph x = 2

a)

A

b)

B

c)

C

d)

D

69.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

70.

Which of the following situations could be descried by the equation y= -25x + 120

a)

There are 120 people in the football stadium, and 25 more are entering each hour.

b)

A plumber charges $25 for a house call and $120 per hour.

c)

A teacher has 120 students. Her third period has 25 students

d)

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

71.

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

72.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

73.

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

74.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

a)

y = 8.5 + 25.5

b)

y = 25.5 + 8.5x

c)

y = 8.5 + 25.5x

75.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

76.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

a)

C = 15 + 0.20x

b)

C =15 (0.20x)

c)

C = 15 + x + 0.20

d)

C = 0.20 + 15x

77.

Jenny went to the sale at Kohl's last weekend.
T-shirts were on sale for $15 each and hoodies were on sale for $20 each. If she spent $150 total, write an equation to represent this situation.

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

78.

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

a)

y=2.50x+4

b)

2.50x+4y=20

c)

y=4x+2.5

79.

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

a)

7 months

b)

6 months

c)

5 months

d)

4 months

80.

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20.

a)

y=2.50x+4

b)

2.50x+4y=20

c)

y=4x+2.5

81.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

82.

Select all of the following equations in point-slope form.

a)

y - 2 = 5(x - 2)

b)

3x + 2y = 12

c)

y + 2 = 1/4(x + 4)

d)

y = 4x + 6

e)

2y = 5x - 7

83.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

84.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

85.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

86.

Write the following equation in slope intercept form:

y + 9 = 3(x - 1)

a)

y = 3x + 12

b)

y = 3x - 12

c)

y = 3x - 6

d)

y = 3x + 6

87.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

88.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

89.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = $\frac{3}{2}$ (x + 2)

b)

y - 2 = $\frac{3}{2}$ (x - 2)

c)

y + 2 = - $\frac{3}{2}$ (x + 2)

d)

y - 2= - $\frac{3}{2}$ (x - 2)

90.

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

91.

What is the slope of the line?

a)

$\frac{3}{2}$

b)

$-\frac{3}{2}$

c)

$-\frac{2}{3}$

d)

$\frac{2}{3}$

92.

Put the following in Point-Slope Form.

a)

y-

b)

y1=

c)

m

d)

(x-

e)

x1)

1)

2)

3)

4)

5)

93.

Given that a slope of a line is -3, and passes through the point (1,3), what is the equation of the line? Write in Point-Slope Form.

(a)

94.

m= 2 (4,6)

Write and equation in Point-Slope Form.

(a)

95.

Using the two points (2,5) (4,7) and write an equation to match in point-slope form.

(a)

96.

Using the two points (3,10) (7,1) write an equation in point-slope form.

(a)

97.

What does m stand for in $y-y_1=m\left(x-x_1\right)$

a)

slope

b)

x intercept

c)

y intercept

d)

x coordinate

e)

y coordinate

98.

What does $y_1$ stand for in $y-y_1=m\left(x-x_1\right)$

a)

slope

b)

x intercept

c)

y intercept

d)

x coordinate

e)

y coordinate

99.

What does $x_1\$ stand for in $y-y_1=m\left(x-x_1\right)$

a)

slope

b)

x intercept

c)

y intercept

d)

x coordinate

e)

y coordinate

100.

What is the slope of $y+1=2\left(x-1\right)$ ?

a)

1

b)

2

c)

-1

101.

What is the equation of this line?

a)

$y-2=\frac{1}{3}\left(x-3\right)$

b)

$y+2=\frac{1}{3}\left(x+3\right)$

c)

$y-3=\frac{1}{3}\left(x-2\right)$

d)

$y+3=\frac{1}{3}\left(x+2\right)$

102.

What is the equation of this line?

a)

$y-3=\frac{1}{3}\left(x-6\right)$

b)

$y+3=\frac{1}{3}\left(x+6\right)$

c)

$y-6=\frac{1}{3}\left(x-3\right)$

d)

$y+6=\frac{1}{3}\left(x+3\right)$

103.

Which is the graph of the equation ?

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

a)

b)

c)

d)

104.

What is the strategy for graphing point-slope form?

a)

Graph the y-intercept, then use the slope to move.

b)

Divide to find the x- and y-intercepts.

c)

Graph the given point, then move according to slope.

105.

Convert the standard form equation into slope-intercept form.
x + y = -1

a)

y = x - 1

b)

y = 27, 239, 430

c)

y = -1x

d)

y = -x - 1

106.

Convert the standard form equation into slope-intercept form.
x - y = 2

a)

y = -x + 2

b)

y = x - 2

c)

x = 2

d)

y = 27, 239, 430

107.

Convert the standard form equation into slope-intercept form.
6x - y = 1

a)

y = -x + ⅙

b)

y = 6x - 1

c)

x = ⅙

d)

y = 27, 239, 430

108.

Solve this equation for y:
$-6x+3y=9$

a)

y = 2x + 9

b)

y = 6x - 3

c)

y = 2x + 3

d)

y = 6x + 9

109.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

110.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y - 3 = -5(x + 2)

c)

7x + 2y = 9

d)

3x + 2 = y

111.

Jamila went to the sale at Kohl's last weekend. T-shirts (x) were on sale for $15 each and hoodies (y) were on sale for $20 each. She spent $150 total. Which equation correctly models this situation?

a)

20x + 15 = y

b)

35x = y

c)

15x + 20y = 150

d)

150 - 20x = 15y

112.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

113.

What is the slope of the line:

8x - 24y = 32

a)

m = 3

b)

m = 8

c)

m = 1/3

d)

m = -24

114.

What is the y - intercept of the following:27x - 9y = 27

a)

y-intercept = -3

b)

y-intercept = 3

c)

y-intercept = 1

d)

y-intercept = 27

115.

What information is enough to be able to graph a line?

a)

two points

b)

slope and y-intercept

c)

x- and y-intercepts

d)

a point and a dream

116.

Name the x- and y-intercepts for the equation:
5x - 3y = 15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

117.

What are the x- and y-intercepts of the linear function given by the equation x + y = -2

a)

(-2, -2)

b)

(-2, 0) and (0, -2)

c)

(0, 0)

d)

(2, 0) and (0, 2)

118.

Write the standard form of the equation for the graph of this line.

a)

4x + 4y = -1

b)

4x + 4y = 1

c)

x/4 + y/4 = 1

d)

x + y = -4

119.

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

a)

x-axis

b)

origin

c)

y-axis

d)

x-intercept

120.

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

a)

y-intercept

b)

x-intercept

c)

domain

d)

range

121.

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

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

122.

What are the x- and y- intercepts, respectively, on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

123.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

124.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

125.

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

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

126.

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

a)

True

b)

False

127.

Find the slope.

a)

-2/3

b)

2/3

c)

-3/2

d)

3/2

128.

y = 5/7x +2

y = 5/7x - 30

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

129.

Write an equation passing through the point that is parallel to the given equation.

( -4, -1) $y=2x+4$

a)

$y=2x-7$

b)

$y=-2x-7$

c)

$y=-2x+7$

d)

$y=2x+7$

130.

Write an equation passing through the point that is parallel to the given equation.

(-6, 7), $5x+2y=10$

a)

$y=-\frac{2}{5}x-8$

b)

$y=-\frac{5}{2}x-8$

c)

$y=\frac{2}{5}x+8$

d)

$y=\frac{5}{2}x+8$

131.

Write an equation passing through the point that is parallel to the given equation.

( -4, -5) $y=\frac{1}{2}x-6$

a)

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

b)

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

c)

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

d)

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

132.

Parallel lines have slopes that are:?

a)

Inverse reciprocal

b)

equal

c)

Opposites

d)

Reciprocal

133.

Write the equation of the line that passes through the point (3, -1) and is parallel to the line whose equation is $x-3y=9$

a)

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

b)

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

c)

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

d)

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

134.

Write the slope-intercept form of the equation of the line described.

through: (3,0), parallel to $y=\frac{2}{3}x+1$

No spaces in your answer - to type a fraction use /

(a)

135.

Write the slope-intercept form of the equation of the line described.

through: (4,1), parallel to $y=-\frac{1}{2}x+2$

No spaces in your answer - to type a fraction use /

(a)

136.

Write the slope-intercept form of the equation of the line described.

through: (-1,-1), parallel to $y=-2x-4$

No spaces in your answer - to type a fraction use /

(a)

137.

Write the slope-intercept form of the equation of the line described.

through: (-4,-5), parallel to $y=-2x-5$

No spaces in your answer - to type a fraction use /

(a)

138.

Write the slope-intercept form of the equation of the line described.

through: (-4,3), parallel to $y=\frac{1}{2}x-3$

No spaces in your answer - to type a fraction use /

(a)

139.

Write the slope-intercept form of the equation of the line described.

through: (-5,1), parallel to $y=-\frac{2}{3}x+2$

No spaces in your answer - to type a fraction use /

(a)

140.

Determine whether the pair of lines are parallel or not.

$y=-2x+3$

y=-2x-1

a)

Yes

b)

No

141.

Determine whether the pair of lines are parallel or not.

$4\ =\ 4x+y$

8=x-4y

*You will have to rearrange both equations into slope-intercept form.

a)

Yes

b)

No

142.

Determine whether the pair of lines are parallel or not.

$y=3x+2$

y=-\frac{1}{3}x+6

a)

Yes

b)

No

143.

Determine whether the pair of lines are parallel or not

$2x+3y\ =5$

3x+2y=10

*You will have to rearrange both equations into slope-intercept form.

a)

Yes

b)

No

144.

Level 3

Which two equations below are parallel?

a)

y = 2x + 1 and y = -1/2x + 1

b)

y = 2x + 3 and y = -2x + 3

c)

y = 2x - 1 and y = 1/2x - 1

d)

y = -x + 4 and y = -x + 2

145.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

146.

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

a)

YES

b)

NO

147.

Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13

a)

YES

b)

NO

148.

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

a)

y = (-1/3)x - 1

b)

y = (1/3)x - 2

c)

y = -3x + 12

d)

y = 3x - 1

149.

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

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

150.

Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4

a)

y = 3

b)

x = -3

c)

y = -3

d)

x = 3

151.

What is the slope of the line y = 7

a)

7

b)

0

c)

undefined

d)

-1/7

152.

What slope is perpendicular to:
m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

153.

y = -2/3x + 2

y = 3/2x + 9

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

154.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

155.

Write an equation of a line that passes through the point (5,-1) and is perpendicular to the line y = (-3/5)x -3

a)

$y+1=-\frac{3}{5}\left(x-5\right)$

b)

$y-1=-\frac{3}{5}\left(x+5\right)$

c)

$y+1=\frac{5}{3}\left(x-5\right)$

d)

$y-1=\frac{5}{3}\left(x+5\right)$

156.

Write an equation of a line that passes through the point (-6, 8) and is perpendicular to the line y = x + 9

a)

$y-8=\left(x+6\right)$

b)

$y+8=\left(x-6\right)$

c)

$y-8=-\left(x+6\right)$

d)

$y+8=-\left(x-6\right)$

157.

Write an equation of a line that passes through the point (3, -13) and is perpendicular to the line y = -5x + 1

a)

$y+13=\frac{1}{5}\left(x-3\right)$

b)

$y-13=\frac{1}{5}\left(x+3\right)$

c)

$y+13=-5\left(x-3\right)$

d)

$y-13=-5\left(x+3\right)$

158.

Write an equation of a line that passes through the point (5, 9) and is perpendicular to the line y = 8x - 20

a)

$y-9=-\frac{1}{8}\left(x-5\right)$

b)

$y-5=-\frac{1}{8}\left(x-9\right)$

c)

$y-5=8\left(x-9\right)$

d)

$y-9=8\left(x-5\right)$

159.

Which pair of lines are perpendicular?

a)

$8x-4y=24,\ \ \ y=-2x+7$

b)

$x-3y=15,\ \ \ y=3x+4$

c)

$2x-5y=5,\ \ \ 5x-2y=4$

d)

$x+y=10,\ \ \ x-y=3$

e)

$5x-y=1,\ \ \ y=\frac{1}{5}x+9$

160.

Write the slope-intercept form of the equation of the line described.

through: (5,-1), perpendicular to $y=\frac{1}{3}x+1$

No spaces in your answer - to type a fraction use /

(a)

161.

Write the slope-intercept form of the equation of the line described.

through: (5,-3), perpendicular to $y=x$

No spaces in your answer - to type a fraction use /

(a)

162.

Determine whether the pair of lines is parallel, perpendicular, or neither.

$4\ =\ 4x+y$

8=x-4y

a)

Parallel

b)

Perpendicular

c)

Neither

163.

Determine whether the pair of lines is parallel, perpendicular, or neither.

$2x+3y\ =5$

3x+2y=10

a)

Parallel

b)

Perpendicular

c)

Neither

164.

Determine whether the pair of lines is parallel, perpendicular, or neither.

$2x+2y\ =9$

2x-y=6

a)

Parallel

b)

Perpendicular

c)

Neither

165.

Which figure shows a set of perpendicular lines?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

166.

What information is given in the sentence below?

The tank leaked 3/4 gallons per minute.

a)

Slope

b)

Y-Intercept

c)

Point

167.

What information is given in the sentence below?

After 4 months, the puppy weighed 7 pounds

a)

Slope

b)

Y-Intercept

c)

Point

168.

What information is given in the sentence below?

Jaiden started his trip 240 miles from home.

a)

Slope

b)

Y-Intercept

c)

Point

169.

Choose all information that is given in the word problem.

The driving range charges $2.75 for each bucket of golf balls plus an fixed amount to rent a golf club. For 5 hours, it would cost $17.75.

a)

Slope

b)

Y-intercept

c)

Point

170.

Choose all information that is given in the word problem.

Zara made an initial deposit of $200 to the bank and then added a fixed amount of $120 each week.

a)

Slope

b)

Y-intercept

c)

Point

171.

A pizza shop charges $12 per pizza and a delivery fee of $4.99. What equation could be used to represent this situation?

a)

y = 4.99x + 12

b)

y = 12x + 4.99

c)

y = x + 12(4.99)

d)

y = 12 - 4.99x

172.

Mike's car needed repairs. The mechanic charged him $140 for parts and $48 per hour for labor. What equation could be used to represent this situation?

a)

y = 48x + 140

b)

y = 140x + 48

c)

y = -48x

d)

y = 140 - 48x

173.

Choose the correct information based on the following problem:

A copier can print 5 note packets per minute. After 10 minutes, there were 57 note packets printed.

a)

m = 10, b = 57

b)

m = 10, (5, 57)

c)

m = 5, b = 57

d)

m = 5, (10, 57)

174.

Choose the correct information based on the following word problem.

A family is moving to another state. After 1 day, they had traveled 240 miles. After 3 days, they had traveled 532 miles.

a)

m = 240 (3, 532)

b)

(1, 240) and (3, 532)

c)

m = 1/3, (240, 532)

d)

m = 240, b = 532

175.

Choose the situation that has a slope of 7.

a)

You are buying pet turtles for $7 each.

b)

You buy 7 frisbees for $10

c)

You buy $7 worth of candy

d)

You start 7 miles away from home

176.

Choose the situation that has a y-intercept of 15

a)

$2 deposit fee plus $15 per hour

b)

$15 deposit fee plus $2 per hour

c)

You spend $15 on 5 yoyos

d)

You spend $32 on 15 notebooks

177.

After the first month of opening, a fitness club has 80 members. After 5 months, the club is up to 140 members. Which linear equation represents this situation?

a)

y = 5x + 80

b)

y = 80x + 140

c)

y = 15x + 65

d)

y = 15x + 5

178.

A tomato plant grows 2.5 inches each day.

Is it reasonable to say that this plant will reach a height of 30in by day 10?

a)

Sure, the plant is growing fast.

b)

No because after 10 days, the plant has only grown 25 inches

179.

A handyman charges $100 per hour of work.

Is it reasonable for the handyman to hand you a bill for $5000 for 8 hours of work.

a)

Yea, seems fair! They work hard!

b)

No way! That cost doesn't add up.

180.

Explain why it's not reasonable to use negative x-values in this situation.

4 lines

181.

Explain why it is reasonable to use negative x-values in this situation.

4 lines

182.

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

a)

c = 2.75b + 4

b)

c = 2.75b

c)

c = 4b- 2.75

d)

c = 2.75b - 4

183.

Belinda's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. Write an equation that models this situation.

a)

y = 140x +48

b)

y = -48x +140

c)

y = 48x +140

d)

y = 48x

184.

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Write an equation in slope-intercept form to represent the situation.

a)

y = 30x + 100

b)

y = 20x + 120

c)

y = 120x + 120

d)

y = 50x + 100

185.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

a)

The daily fee for the moving truck

b)

The per-mile fee for the moving truck

c)

How much Charlie paid for the truck

d)

The number of miles he drove

186.

The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

187.

The table represents a used car salesman's monthly salary including commission made on the sale of cars. What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

188.

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?

a)

The total amount of money the customer spends on music each month

b)

The number of songs the customer downloads each month

c)

The number of customers that use the music service

d)

The cost of downloading one song

189.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.What is the meaning of the y-intercept?

a)

It costs $3.50 per minute to rent a kayak.

b)

For $0 you can rent a kayak for 3.5 minutes.

c)

Every 3.50 minutes, you have to pay $1.00.

d)

You have to pay $3.50 up front before using the kayak.

190.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes. What is the meaning of the slope of the equation?

a)

For $1.00, you can rent a kayak for 20 minutes.

b)

It costs $0.20 per minute to rent the kayak.

c)

You have to pay $0.20 up front before using the kayak at all.

d)

Every .2 minutes, you have to pay $1.00.

191.

The graph represents the height of a burning candle. What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the rate at which the candle is losing height

c)

the change in the height of the candle each hour

d)

the original height of the candle

192.

What line has the steepest slope?

a)

All slopes are equal

b)

Red

c)

Blue

d)

Green

193.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes

b)

The sloth runs 3 feet in 1 minute

c)

The sloth runs fast

d)

The sloth runs 6 feet in 1 minute

194.

Which runner was faster?

a)

Runner A

b)

Runner B

195.

What does the x-intercept of the graph represent?

a)

The number of cookies the presenter had before making any presentations

b)

The maximum number of cookies the presenter gave away during every presentation

c)

The number of presentations the presenter made per hour

d)

The maximum number of presentations the presenter made before running out of cookies

196.

What does the y-intercept represent?

a)

The amount of each deposit made

b)

The initial amount of money in the savings account

c)

The number of deposits made

d)

The amount of money in the savings account after 50 deposits

197.

What does the rate of change represent?

a)

The population increased 5,700 every year

b)

The initial population was 193,000

c)

The population decreased 5,700 every year

d)

The population increased 193,000 every year

198.

What does the slope mean in the context of the problem?

a)

The cost will increase by $1.40 per topping

b)

The cost will decrease by $1.40 per topping

c)

The cost will increase by $1.90 per topping

d)

The cost will decrease by $1.90 per topping

199.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

Alg 1 Test 4 Review - More Linear Topics

Total questions: 199

Worksheet time: 10hrs 49mins

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