Free Printable Unit 3 Review

Worksheets

Unit 3 Review

Total questions: 49

Worksheet time: 2hrs 34mins

Name

Class

Date

Which relation is NOT a function?

{(1,-5), (3,1), (-5,4), (4,-2)}

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

{(1,-5), (-1,6), (1,5), (6,-3)}

{(3,-2), (5,-6), (7,7), (8,8)}

Is this mapping a function or not a function?

Function

Not a Function

The relation in the graph is..

a function but not a one-to-one function.

a one-to-one function.

not a function.

The relation in the graph is..

a function but not a one-to-one function.

a one-to-one function.

not a function

Amount of money spent on groceries in a month.

Discrete

Continuous

The number of television per household.

Discrete

Continuous

How would you write $y=2x+5$ in function notation?

$f\left(x\right)=2x+5$

$f\left(x\right)$

$f\left(x\right)=2x$

$f\left(xy\right)=2x+5$

Derek works at Subway making $9.25 an hour. The function d(x)=9.25x tells us how much money Derek makes after x hours of working. What is the meaning of d(4)=37?

After 4 hours of work, Derek makes $37.

Derek needs $4 more to have $37 total.

After working for 4 days, Derek makes $37 total.

After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

Identify the Independent and Dependent Variables, then write a rule in function notation.
A baker spends $6 on ingredients for each cake he bakes.

Ind: Cost
Dep: Cakes
f(c) = 6c

Ind: Cakes
Dep: Cost
f(c) = c + 6

Ind: Cost
Dep: Cakes
f(c) = c + 6

Ind: Cakes
Dep: Cost
f(c) = 6c

10.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

-2

-9

-10

11.

Solve for f(5):
f(5) = -x + 4

-1

-9

12.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

-4

None of these.

13.

Let f(x) be the temperature outside x hours after 8:00 AM. What is the meaning of

$f\left(3\right)=50$ ?

At 3:00 PM it will be 50 degrees outside.

At 11:00 AM it will be 50 degrees outside.

The temperature at 3:00 AM and 11:00 AM is the same.

50 hours after 8:00 AM the temperature will be 3 degrees.

14.

Write a recursive rule for the sequence -10, -3, 4, 11, ...

a_n= a_n-1 - 7

a_n= a_n-1 + 8

a_n= a_n-1 - 8

a_n= a_n-1 + 7

15.

An arithmetic sequence is shown below.

5, 1, -3, -7, ...

Which explicit formula can be used to determine the nth term of the sequence?

a_n = -4n + 5

a_n = -4n + 9

a_n = -5n + 1

a_n = -5n + 9

16.

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 12 absences should get approximately what score on the final exam?

17.

Which value represents the strongest negative correlation?

-0.7

-0.8

-0.83

-0.084

18.

Which variables are most likely negatively correlated with screen time? Select ALL that apply.

number of texts sent

amount of time asleep

amount of time playing video games

amount of time playing sports

19.

Which value below could be the correlation of the scatterplot?

-0.923

-0.478

0.006

0.777

20.

Which value below could be the correlation of the scatterplot?

-0.977

-0.021

0.736

0.951

21.

What is the equation of the line of best fit?

y= $-\frac{1}{2}x\ +\ 6$

y= $\frac{1}{2}x\ +6$

y= 6x + 2

y = -2x +6

22.

What is the definition of function?

Has inputs and outputs

Every input has only ONE output

Inputs have different outputs every time

x-values and y-values

23.

All of the x values or inputs are called what?

Domain

Range

Relation

Function

24.

All of the y values or outputs are called what?

Domain

Range

Relation

Function

25.

Number of online purchases made in a week.

Discrete

Continuous

26.

Is this mapping a function or not a function?

Function

Not a Function

27.

Continuous

Discrete

28.

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?

Total Cost of a taxi

Total Miles in taxi

29.

Sarah is bringing treats to her middle school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is dependent?

30.

Let f(x) be the temperature outside x hours after 8:00 AM. What is the meaning of

$f\left(3\right)=f\left(8\right)$ ?

At 3:00 PM it will be 8 degrees outside.

At 11:00 AM it will be 8 degrees warmer out than at 8:00 AM

The temperature is the same at 3:00 AM and 8:00 AM

The temperature is the same at 11:00 AM and 4:00 PM

31.

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

145

144

142

138

32.

A sequence is shown below.

32, 26, 20, 14, ...

Which explicit formula can be used to determine the nth term of the sequence?

a_n = -6n + 38

a_n = 6n + 32

a_n = 6n + 38

a_n = -6n + 32

33.

An arithmetic sequence has these properties:

a₁ = 2

a_n = a_(n-1) + 5

What are the first four terms of the sequence?

2, 5, 10, 15

2, 5, 7, 12

2, 7, 9, 14

2, 7, 12, 17

34.

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

a_n= 3 - 11(n - 1)

a_n= 2 + 3(n - 1)

a_n= 11 - 3(n - 1)

a_n= 3 + 2(n - 1)

35.

Which sentence describes the relationship shown on this scatter plot?

As the temperature decreases, the visitors increase.

As the temperature increases, the number of visitors increases.

As the visitors increase, the temperature decreases.

No correlation

36.

Which of the following best describes a scatter plot that shows no relationship between the x-values and the y-values?

As x-values increase, the points are higher on the graph.

As x-values decrease, the points are higher on the graph.

The points are scattered around the graph.

The points form a horizontal line.

37.

What type of correlation does this scatter plot show?

positive

negative

no correlation

nonlinear association

38.

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 pages would be in a book with 19 chapters.

150 pages

170 pages

190 pages

210 pages

39.

Which variables are most likely positively correlated with temperature? Select ALL that apply.

sale of ice cream

number of boating accidents

sales of winter clothing

sales of televisions

40.

Which value below could be the correlation of the scatterplot?

-0.923

-0.478

0.006

0.777

41.

Which value below could be the correlation of the scatterplot?

-0.923

-0.478

0.006

0.777

42.

Which value below could be the correlation of the scatterplot?

-0.923

-0.278

0.006

0.777

43.

Which value below could be the correlation of the scatterplot?

-0.977

-0.021

0.736

0.951

44.

Which value below could be the correlation of the scatterplot?

-0.977

-0.021

0.736

0.951

45.

What is a line of best fit used for?

To make predictions

To make the graph look pretty

To connect the points

To make it look like you know what you are doing

46.

What is the equation of the line of best fit?

y= 2x+3

y=3x+2

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

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

47.

Caroline weighs her new puppy every month to see how much it has grown. If age is a and weight is W, which of these is the correct equation for the line of best fit?

W = 3.6 + 8.9

W = 3.6a + 8.9

a = 8.9W + 3.6

W = 8.9a + 3.6

48.

find line of best fit through these points

(1,3) (2,4) (5,8)

y=1.27x+1.615

y=2x+7

y=1.7x+8

49.

What is x if
f(x) = -2?

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Unit 3 Review

Total questions: 49

Worksheet time: 2hrs 34mins

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