Free Printable Midterm Review Ch 4-5

1.

Pick the range for the function:

$y\ =\ 3x\ -\ 2$

with a domain: $x\ge0$

a)

$y\ \le\ -2$

b)

$y\ <\ -2$

c)

$y\ \ge-2$

d)

$y\ >-2$

2.

Pick the range for the function:

$y=-6$

with a domain: $x\ge5$

a)

$y\ \le\ -6$

b)

$y\ <\ -6$

c)

$y\ =-6$

d)

$y\ \ge-6$

3.

Pick the range for the function:

$y=-x-1$

with a domain: $-1\le x\le3$

a)

$-4\le y\le0$

b)

$-4<y<0$

c)

$0\le y\le4$

d)

$0<y<4$

4.

Pick the range for the function:

$y=-5x+3$

with a domain: $x\le0$

a)

$y\ge3$

b)

$y>3$

c)

$y\le3$

d)

$y<3$

5.

What are the coordinates for Point A?

a)

$\left(3,\ 1\right)$

b)

$\left(1,\ 3\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(0,\ -4\right)$

6.

What are the coordinates for Point B?

a)

$\left(3,\ 1\right)$

b)

$\left(1,\ 3\right)$

c)

$\left(-2,\ 5\right)$

d)

$\left(0,\ -4\right)$

7.

What quadrant does Point D lie in?

a)

$Quadrant\ 1$

b)

$Quadrant\ 2$

c)

$Quadrant\ 3$

d)

$Quadrant\ 4$

8.

What are the coordinates for Point C?

a)

$\left(-4,\ 0\right)$

b)

$\left(0,\ 4\right)$

c)

$\left(4,\ 0\right)$

d)

$\left(0,\ -4\right)$

9.

What is the name for the highlighted yellow line?

a)

$x\ -axis$

b)

$y-axis$

c)

$origin$

d)

$line\ \ of\ \ symmetry$

10.

What is the name for the highlighted yellow line?

a)

$x\ -axis$

b)

$y-axis$

c)

$origin$

d)

$line\ \ of\ \ symmetry$

11.

Which point can be found at

\left(5,\ 0\right)

?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

12.

Which point can be found at

\left(-3,\ 4\right)

?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

13.

What is the only point in Quadrant 3?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

e)

Point E

14.

Name this point.

a)

$x-axis$

b)

$y-axis$

c)

$origin$

d)

$point\ \ of\ \ discontinuity$

15.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

16.

Name the quadrant where POINT C is located.

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

No Quadrant

17.

Choose the ordered pair that would be located in the 4th quadrant.

a)

(-3, -7)

b)

(-99, 87)

c)

(40, -33)

d)

(12, 1000)

18.

Which axis runs vertically?

a)

x

b)

Y

19.

Which axis runs horizontally?

a)

x

b)

y

20.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

21.

Is (1, 2) a solution to the linear equation 2x + 5y = 12?

a)

Yes

b)

No

22.

Is (3, 1) a solution to the linear equation 4x + 3y = 12?

a)

Yes

b)

No

23.

Is (5, 5) a solution to the linear equation x + y = 12?

a)

Yes

b)

No

24.

Select all of the points that are solutions to the linear equation 5x + 8y = 40.

a)

(8, 0)

b)

(4, 2)

c)

(0,5)

d)

(1, 6)

25.

Select all of the points that are solutions to the equation x + 4y = 20.

a)

(10, 2.5)

b)

(0, 5)

c)

(2, 10)

d)

(5, 3)

26.

Select all of the points that are solutions to the linear equation 2x + 9y = 54

a)

(9, 12)

b)

(6, 0)

c)

(0, 6)

d)

(9, 4)

27.

Given the equation 3x + y = 5 and x =1, what is the value of y?

a)

1

b)

2

c)

3

d)

4

28.

Which of these is a solution to the equation
y = 5x?

a)

(1,5)

b)

(1, -5)

29.

What is the x-intercept of $8y=2x-4$ ?

a)

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

b)

$\left(-\frac{1}{2},0\right)$

c)

$\left(5,\ 0\right)$

d)

$\left(4,\ 0\right)$

30.

What is the y-intercept of

8y=2x-4

?

a)

$\left(0,-\frac{1}{2}\right)$

b)

$\left(0,5\right)$

c)

$\left(0,2\right)$

d)

$\left(0,4\right)$

31.

What is the x-intercept of $2y=x+5$ ?

a)

$\left(-5,0\right)$

b)

$\left(5,\ 0\right)$

c)

$\left(\frac{5}{2},\ 0\right)$

d)

$\left(\frac{2}{5},0\right)$

32.

What is the y-intercept of $2y=x+5$ ?

a)

$\left(0,\ \frac{5}{2}\right)$

b)

$\left(0,5\right)$

c)

$\left(0,-5\right)$

d)

$\left(0,\frac{2}{5}\right)$

33.

What is the x-intercept of

y=5x+4

?

a)

$\left(-\frac{4}{5},0\right)$

b)

$\left(4,0\right)$

c)

$\left(5,0\right)$

d)

$\left(\frac{4}{5},0\right)$

34.

What is the y-intercept of

y=5x+4

?

a)

$\left(0,4\right)$

b)

$\left(0,5\right)$

c)

$\left(0,-4\right)$

d)

$\left(0,-5\right)$

35.

What is the x-intercept of

5y=2x-4

?

a)

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

b)

$\left(5,0\right)$

c)

$\left(4,0\right)$

d)

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

36.

What is the y-intercept of

5y=2x-4

?

a)

$\left(0,-\frac{4}{5}\right)$

b)

$\left(0,4\right)$

c)

$\left(0,-5\right)$

d)

$\left(0,-4\right)$

37.

What is the x-intercept of $2y-4x=-2$

a)

$\left(\frac{1}{2},0\right)$

b)

$\left(2,0\right)$

c)

$\left(4,0\right)$

d)

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

38.

What is the y-intercept of $2y-4x=-2$

a)

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

b)

$\left(0,2\right)$

c)

$\left(0,1\right)$

d)

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

39.

What is the x-intercept of $5x+y=-4$ ?

a)

$\left(-\frac{4}{5},0\right)$

b)

$\left(\frac{4}{5},0\right)$

c)

$\left(4,\ 0\right)$

d)

$\left(-5,0\right)$

40.

What is the y-intercept of $5x+y=-4$ ?

a)

$\left(0,\ -4\right)$

b)

$\left(0,4\right)$

c)

$\left(0,5\right)$

d)

$\left(0,-5\right)$

41.

What is the constant of proportionality?

a)

$3

b)

$4

c)

$2

d)

$9

42.

A proportional relationship can be written as an equation in the form ____ = _____ _____

a)

y = k+x

b)

y = k-x

c)

y = kx

d)

y = k/x

43.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

44.

Which company shows a greater slope?

a)

Water's Edge Rafts

b)

Ryan's Rafts

45.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

46.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

47.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

48.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

49.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

50.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

51.

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

52.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

53.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

54.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

55.

What direction is an undefined slope?

a)

horizontal

b)

vertical

56.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

57.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

58.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

59.

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

60.

Find the slope given the points (3,18) and (0,18).

a)

undefined

b)

0

c)

22

d)

6

61.

What is the slope of the line that passes through the points (5, 3) and (5, -9)

a)

0

b)

undefined

c)

-6/5

d)

6/5

62.

Determine whether each linear function is a direct variation. If so,state the constant of proportionality.

a)

Not a direct variation

b)

Direct variation; k = 4

c)

Direct variation; k = 1/4

63.

Determine whether each linear function is a direct variation. If so,state the constant of proportionality.

a)

Not a direct variation

b)

Direct variation; k = 10

c)

Direct variation; k = 1/10

64.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

65.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

66.

y varies directly with x. When y = 39, x = 3. Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

67.

y varies directly with x. When y is 16, x is 32. Which equation represents this situation?

a)

y = 32x

b)

y = 16x

c)

y = 2x

d)

y = (1/2)x

68.

What ordered pair does a direct variation always go through when graphed?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, 1)

69.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

70.

Is this a direct variation?

a)

yes

b)

no

71.

Is this a direct variation?

a)

yes

b)

no

72.

Determine the slope and y-intercept:
$y=\frac{3}{2}x+3$

a)

$m=5,\ b=3$

b)

$m=\frac{3}{2},\ b=3$

c)

$m=3,\ b=\frac{3}{2}$

d)

$m=3,\ b=2$

73.

What is the equation for the line that has a slope of -1 and a y-intercept of 6?

a)

y = x + 6

b)

y = x - 6

c)

y = -x - 6

d)

y = -x + 6

74.

Rewrite the following equation in slope-intercept form:

$3y+2x=15$

(Remember to solve for y!)

a)

$3y=15-2x$

b)

$2x=15-3y$

c)

$y=15-\frac{2}{3}x$

d)

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

75.

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

76.

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

d)

y=kx

77.

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)

78.

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)

79.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

80.

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)

81.

Which of these represents standard form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

82.

Which of these represents slope intercept form form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

83.

Identify the form of the following linear equation:

y = 3x - 2

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

84.

Identify the form of the following linear equation:

5x + 3y = 15

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

85.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

86.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

87.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

88.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

89.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

90.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

91.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

92.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

93.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

94.

What type of correlation is shown?

a)

Negative Correlation

b)

No Correlation

c)

Positive Correlation

d)

I painted a picture of a butterfly

95.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

96.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

97.

What is the correlation between length of running start and distance of jump?

a)

positive: the further you run the further you jump

b)

negative: the less you run the less distance of your jump

c)

positive: the further your running start the less your distance

98.

What type of correlation does this scatterplot display?

a)

Positive

b)

Negative

c)

No Correlation

99.

Which scatter plot shows no relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

100.

What kind of correlation?

a)

Strong Positive

b)

Strong Negative

c)

Weak Negative

d)

Weak Positive

101.

What kind of correlation?

a)

Weak Positive

b)

Weak Negative

c)

Strong Positive

d)

Strong Negative

102.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

103.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

104.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

105.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

106.

When writing an equation for the line of best fit...

a)

Use points from your table

b)

Use points on your line

c)

Use any point that seems reasonable

d)

Use a point from your table and a point from your line

107.

Which represents the equation of the line that passes through (-3, 2) and (6, -1)

in STANDARD FORM?

a)

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

b)

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

c)

$x+3y=3$

d)

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

108.

Which represents the equation of the line that passes through (6, 2) and has a slope of 10

in STANDARD FORM?

a)

$y=10x-58$

b)

$-10x+y=-58$

c)

$10x-y=58$

d)

$y-2=10\left(x-6\right)$

109.

Which equation represents the line that is horizontal to the line with the given point (-8, -9)

a)

$y\ =\ -9$

b)

$x\ =\ -8$

c)

$y=\frac{1}{2}x\ -9$

d)

$y=-\frac{1}{2}x-8$

110.

Which equation represents the line that is vertical to the line with the given point (-8, -9)

a)

$y\ =\ -9$

b)

$x\ =\ -8$

c)

$y=\frac{1}{2}x\ -9$

d)

$y=-\frac{1}{2}x-8$

Midterm Review Ch 4-5

Total questions: 110

Worksheet time: 2hrs 50mins

Similar Resources on Wayground