Free Printable Unit 4 Study guide

1.

a)

Function

b)

Not a Function

2.

Is this table a function or not a function?

a)

Function

b)

Not a Function

3.

Does the graph represent a function?

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

4.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

5.

Is this a function?

a)

Yes

b)

No

6.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

7.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

8.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

9.

Two functions are given:

$h\left(x\right)\ =x^2-2x$

$g\left(x\right)=2x^2-4x\$

Find h(x) - g(x).

a)

$-x^2+2x$

b)

$-x^2-2x$

c)

$3x^2+6x$

d)

$3x^2-6x$

10.

Two functions are given.

$f\left(x\right)=2x+4$

$g\left(x\right)=3x+5$

Find $f\left(x\right)\ -\ g\left(x\right)$ .

a)

$x\ +\ 1$

b)

$-x-1$

c)

$-x+1$

d)

$x^2-4x-3$

11.

Two functions are given:

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

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

Find $g\left(x\right)\ +\ f\left(x\right)$ .

a)

$x^2-2x-1$

b)

$x^3-2x+7$

c)

$x^2-4x+6$

d)

$x^2-3$

12.

Given two functions:

$g\left(x\right)=-x^2-4x$

$h\left(x\right)=4x-2$

Find $g\left(x\right)\ +\ h\left(x\right)$ .

a)

$-5x+1$

b)

$-x^3-4x^2+3x-3$

c)

$x^2+4x+7$

d)

$-x^2-2$

13.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

14.

How do you read f(x)?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

15.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

16.

f(x)=4x+5
f(4)=

a)

21

b)

-11

c)

-31

d)

25

17.

If f(x) = 2x² + 5x - 3, evaluate f(-1).

a)

f(-1) = -6

b)

f(-1) = 1

c)

f(-1) = -10

d)

f(-1) = -1

18.

Evaluate f(-2) if f(x) = x²+ 3

a)

-1

b)

1

c)

7

d)

-7

19.

If h(x) = -5x + 7,

Evaluate h(2).

a)

-2

b)

3

c)

-18

d)

-3

20.

1- Which number is a perfect square?

a)

a) 32

b)

b) 25

c)

c) 22

d)

D) 24

21.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

22.

4- Which number is a perfect square?

a)

a) 100

b)

b) 110

c)

c) 120

d)

d) 59

23.

5- Which number is perfect square?

a)

a) 124

b)

b) 144

c)

c) 158

d)

d) 164

24.

9- Which number is perfect square?

a)

a) 48

b)

b) 49

c)

c) 59

d)

d) 29

25.

10- Which number is perfect square?

a)

a) 81

b)

b) 89

c)

c) 90

d)

d) 88

26.

Simplify

\sqrt{24}

a)

$4\sqrt{6}$

b)

$2\sqrt{6}$

c)

$6\sqrt{2}$

d)

$6\sqrt{4}$

27.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

28.

√45

a)

3√5

b)

5√3

c)

9√5

d)

5√9

29.

√96

a)

16√6

b)

2√6

c)

4√6

d)

√2

30.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

31.

√216

a)

6√4

b)

4√6

c)

36√6

d)

6√6

32.

√2+√2

(a)

33.

√2+√2+√2+√3

(a)

34.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

35.

Simplify the expression
2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

36.

(13√13)-(6√13)

a)

19√26

b)

7

c)

7√13

d)

19√13

37.

√18 - √12

a)

√6

b)

2√3

c)

√2

d)

√5

38.

√5 + √20

a)

5

b)

25

c)

3√5

d)

2√3

39.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

40.

√18 - √8

a)

-3√2

b)

2√2

c)

√2

d)

√5

41.

Solve: 5√75 + 8√27

a)

13√3

b)

13√102

c)

49√3

d)

5√75 + 8√27

42.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

43.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

44.

a)

b)

c)

d)

45.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

46.

Simplify

a)

x²y√xy

b)

xy

c)

x²y²

d)

Can't Simplify

47.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

48.

6. Find the mean.
18, 2, 0, 0, 0

a)

4

b)

5

c)

10

d)

20

49.

Find the median from the list of numbers:

60, 58, 52, 48, 60, 67

a)

58

b)

59

c)

60

d)

118

50.

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

a)

5

b)

6

c)

9

d)

11

51.

How would you describe the mean?

a)

difference

b)

average

c)

middle

d)

most repeated number

52.

The mean is found by ___________________ all of the numbers and then _____________________ by the number of items.

a)

adding, subtracting

b)

adding, multiplying

c)

dividing, adding

d)

adding, dividing

53.

What is the range (maximum-minimum) of the data shown?

a)

85

b)

90

c)

80

d)

70

54.

How many people have four books in their desks?

a)

2

b)

3

c)

4

d)

5

55.

Which box and whisker plot has the highest median?

a)

First plot

b)

Second plot

56.

What value is the lower quartile (Q1)?

a)

66

b)

58

c)

60

d)

64

57.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

58.

What is the interquartile range (Q3-Q1)?

a)

4

b)

64

c)

60

d)

8

59.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

60.

What is the maximum value?

a)

58

b)

66

c)

64

d)

60

61.

What percentage of scores were between 30 and 70?

a)

0%

b)

25%

c)

50%

d)

75%

62.

What percentage of scores were between 63 and 70?

a)

0%

b)

25%

c)

50%

d)

75%

63.

For the data set shown, what is the median?

{10, 12, 14, 14, 16, 18, 20, 20}

a)

14

b)

15

c)

15.5

d)

16

64.

Which group of people has 50% of the data above 5 magazines each day?

a)

Children

b)

Adults

65.

What percent of the data falls between 8 and 10 absences?

a)

0%

b)

25%

c)

50%

d)

75%

e)

100%

Unit 4 Study guide

Total questions: 65

Worksheet time: 4hrs 57mins

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