Free Printable (8) Fall S1 Final Exam Study Guide

1.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

2.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

3.

Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.

a)

For every homework assignment, it takes 5 more minutes to complete.

b)

For every homework assignment, it takes 2 more minutes to complete.

c)

It initially takes 5 minutes to get homework out and start working.

d)

It initially takes 2 minutes to get homework out and start working.

4.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

5.

Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?

a)

It cost 1.50 per topping

b)

It cost 1.50 for unlimited toppings

c)

It cost $15 for a large pizza

d)

It cost $15 for a large pizza with no toppings

6.

Which line has the greatest average rate of change on the graph? Why?

a)

Blue, it's average rate of change is $120 per month

b)

Red, it's average rate of change is $40 per month

c)

Blue, it's average rate of change is $160 per month

d)

Red, it's average rate of change is $80 per month

7.

a)

Function

b)

Not a Function

8.

a)

Function

b)

Not a Function

9.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

10.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

11.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

12.

a)

6

b)

-6

c)

14

d)

-14

13.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

14.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

15.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

16.

A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?

a)

y = 1.50x + 5
Function

b)

y = 5x + 1.50
Function

c)

y = 1.50x + 5
Not a Function

d)

y = 5x + 1.50
Not a Function

17.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

18.

Which function is linear?

a)

y = 2x + 4

b)

y = 2x² + 4

c)

y = 2x(4 − 3x)

d)

xy = 15

19.

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. Write an equation that best represents how much his tenants will now have to pay.

(*Remember rate of change is the slope.)

4 lines

20.

Which company shows a greater rate of change?

4 lines

21.

Write an equation in y = mx + b form of the line shown on the graph.

4 lines

22.

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

4 lines

23.

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a higher y-intercept?

4 lines

24.

Given the graph above, find f(x)=3.

a)

-5

b)

-1

c)

2

d)

-4

25.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

26.

f(x)=-x+3
f(x) = 7

a)

-4

b)

-6

c)

3

d)

13

27.

f(x)=2x+2
f(x)= 2

a)

6

b)

-8

c)

10

d)

0

28.

g(x) = 11 - x
Find g(x) = -7

a)

4

b)

17

c)

18

d)

-77

29.

Is this relation a function? If so, is it linear?

{(5, 7), (4, 2), (3, -3), (5, -8)}

a)

Not a function

b)

Linear Function

c)

Function, but not linear

30.

Solve 2x-3=-2x+9

a)

2

b)

12

c)

7

d)

3

31.

-14a+20=14a-8

a)

14

b)

7

c)

28

d)

1

32.

What is the first step in the this equation? 3(x-3)+7= 13x(2+3)

a)

Distribute

b)

Divide

c)

Exponents

d)

Subtract

33.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

34.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

35.

Solve:
3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

no solution

d)

infinite solutions

36.

4(a + 3) = -32

a)

-11

b)

-44

c)

-20

d)

-8

37.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

38.

which is the coefficient once simplified

6x - 3x + 12 = 36

a)

6

b)

3

c)

9

d)

12

39.

what is the constant once simplified

6x - 3x + 12 - 3 = 30

a)

12

b)

-3

c)

15

d)

9

40.

what is a coefficient

a)

the letter

b)

the number before the letter

c)

the plain number

d)

the answer

41.

what is a variable

a)

the letter

b)

the number before the letter

c)

a plain number

d)

the answer

42.

what is a coefficient

a)

the letter

b)

the number before the letter

c)

the plain number

d)

the answer

43.

6x - 2(x-5) = 46

a)

6x - 2x - 10 = 46

b)

4x - 10 = 46

c)

x = 4

d)

x = 14

44.

$\frac{1}{2}\left(6+3x\right)=15$

a)

$8$

b)

$\frac{1}{2}$

c)

$4$

d)

$5$

45.

$4\left(-x+3\right)=2\left(6-2x\right)$

a)

$no\ solution$

b)

$\inf inite\ solutions$

c)

$0$

d)

$-\frac{9}{2}$

46.

$4x+3=6x+3$

a)

$0$

b)

$no\ solution$

c)

$\inf inite\ solutions$

d)

$2$

47.

$8+3x=7+5x$

a)

$\frac{1}{2}$

b)

$-1$

c)

$2$

d)

$\frac{15}{8}$

48.

$2.5\left(3x-4\right)=5$

a)

$2$

b)

$no\ solution$

c)

$\inf inite\ solutions$

d)

$-2$

49.

I can solve Inequalities.
4(5x + 2) ≤ 28

a)

x ≤ 1

b)

x ≥ 1

c)

x ≤ 8

d)

x ≥ 8

50.

solve 5( 6 + 3r) + 7 ≥ 127

a)

r ≤ 6

b)

r ≥ 6

c)

r ≤ -6

d)

r ≥ -6

51.

Solve:
6x+10>5x-12

a)

x>2

b)

x<2

c)

x<-22

d)

x>-22

52.

Solve:
4(2a + 3) < 3(a - 1)

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

53.

Solve

3x − (2 + 6x) ≤ -32

a)

x ≥ 10

b)

x< -10

c)

x ≥ -10

d)

All real numbers

54.

Find the slope of the line.

Remember to simplify if you can

(a)

55.

Find the slope of the line.

(a)

56.

Find the slope

(a)

57.

Find the slope of the line.

(a)

58.

Find the slope

(a)

59.

What is the slope of the table?

a)

15

b)

6

c)

1/6

d)

-6

60.

What is the slope of the table?

a)

1/4

b)

4

c)

-6

d)

-4

61.

What is the slope?

a)

-2/3

b)

-3/2

c)

-5

d)

-1

62.

Find the slope of the line that passes through the given two points:

( 6 , - 6 ) and ( -4 , 0 )

(a)

63.

Find the slope of the line that passes through the given two points:

( 5 , 0 ) and ( 0 , 5 )

(a)

64.

Find the slope of the line that passes through the given two points:

( 13 , 0 ) and ( 9 , - 4 )

(a)

65.

Find the slope of the line that passes through the given two points:

( -6 , -8 ) and ( -7 , 0 )

(a)

66.

Rate of Change is often used to describe Slope!
They are exactly the same thing: the rate in which one quantity changes in relation to another.

What would be the equation to find rate of change?

*Hint: It is the same as the slope formula.

a)

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

b)

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

c)

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

d)

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

67.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

68.

What was Brian's rate of change?

a)

3/2

b)

1.5

c)

60

d)

30

69.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

70.

Determine the Constant Rate of Change?

a)

-10 ft per second

b)

15 ft per second

c)

10 ft per second

d)

-15 ft per second

71.

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

a)

30

b)

5

72.

Find the rate of change.

a)

4 burgers per person

b)

6 burgers per person

c)

2 burgers per person

d)

2 people per burger

73.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

74.

Which of the following are ways to find the rate of change?

a)

change in y over change in x

b)

rise over run

c)

subtract y coordinates over subtract x coordinates

d)

all of the above

75.

Rate of Change is the same as Slope.

a)

True

b)

Sometimes

c)

False

76.

A man is climbing down from 100 feet high descending 30 feet per minute. What is the rate of change in this situation?

a)

-30

b)

30

c)

100

d)

-100

77.

What does the slope represent?

a)

$2 per mile drive

b)

$.50 per mile driven

c)

2 miles driven per $1

d)

1 mile driven per $2

78.

During the summer, Briana runs an ice cream shop. Her biggest seller is waffle ice cream cones. She charges $1.85 for a waffle cone, and $0.60 for each scoop of ice cream.

Which equation models the money she makes selling waffle ice cream cones?

a)

Y= 1.85X + 60

b)

y=60X + 1.85

c)

y=.60X + 1.85

d)

y= 1.85X -60

79.

The following scatter plot shows Pamela'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

80.

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

81.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 6 absences should get approximately what score on the final exam?

a)

65

b)

92

c)

70

d)

76

82.

What type of correlation/association exists?

the outside temperature and the amount of layers you wear.

a)

Positive correlation

b)

Negative correlation

c)

No correlation

83.

Make a prediction for a resting heart rate after 6 hours of exercise a week.

a)

6 BPM

b)

50 BPM

c)

55 BPM

d)

59 BPM

84.

If Zion works 45 hours a week, how much will his weekly salary be?

a)

about $500

b)

about $600

c)

about $800

d)

about $1,500

85.

What type of correlation/association does this graph have?

a)

negative association

b)

no association

c)

positive association

86.

In the scatter plot, does the image show an accurate "Line of Best Fit"?

a)

Yes

b)

No

87.

In the scatter plot, does the image show an accurate "Line of Best Fit"?

a)

Yes

b)

No

88.

In the scatter plot, does the image show an accurate "Line of Best Fit"?

a)

Yes

b)

No

89.

Which statement best describes the relationship shown in this scatter plot?

a)

Students with a bigger shoe size earn a higher math score

b)

Students with a smaller shoe size earn a higher math score

c)

A student's shoe size has no effect on their math score

d)

A student with a shoe size of 2 will always earn a score of 80%

90.

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

91.

If Gold's Gym paid $250 for each TV, how many did they buy?

a)

35

b)

30

c)

45

d)

20

(8) Fall S1 Final Exam Study Guide

Total questions: 91

Worksheet time: 6hrs 46mins

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