Free Printable 11/23 Advanced Algebra Review

1.

Nadia and Adin have each taken three math tests. They each calculated the standard deviation of their scores. Nadia's standard deviation was 3.4. Adin's standard deviation was 2.1. Who was more consistent (scored about the same every time)?

a)

Nadia

b)

Adin

c)

Not enough information is given

2.

Nadia and Adin have each taken three math tests. They each calculated the standard deviation of their scores. Nadia's standard deviation was 3.4. Adin's standard deviation was 2.1. Who was more consistent (scored about the same every time)?

a)

Nadia

b)

Adin

c)

Not enough information is given

3.

Gamachu and Tabitha ran a mile every day for a week and recorded their times. They each calculated the standard deviation of their times. Gamachu's standard deviation was 5.8 and Tabitha's was 4. Who was more consistent (their times were less spread out)?

a)

Gamachu

b)

Tabitha

c)

Can't tell by the information given

4.

What is the median of the data?

a)

200

b)

100

c)

90

d)

140

5.

What value is the lower quartile?

a)

66

b)

58

c)

60

d)

64

6.

How many students are between 48 and 51 inches tall?

a)

14

b)

8

c)

2

d)

0

7.

What percent of students in Mrs. Sanchez's first period scored between 20 and 30?

a)

25%

b)

50%

c)

75%

d)

100%

8.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

55% of the class scored better than you did

9.

Alden wanted to impress his parents by showing the rapid increase in his score on 5 tests. Which graph should he use to impress them?

a)

Graph 1

b)

Graph 2

c)

Neither

d)

Both

10.

Which graph is misleading?

a)

graph 1

b)

graph 2

c)

graph 3

d)

graph 2 and 3

11.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

12.

What is the domain of the graph?

a)

1≤ x ≤ 4

b)

1 < x < 4

c)

1≤ y ≤ 4

d)

1 < y < 4

13.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

14.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

15.

a)

Function

b)

Not a Function

16.

a)

Function

b)

Not a Function

17.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

18.

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

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

19.

.

a)

Function

b)

Not a Function

20.

.

a)

Function

b)

Not a Function

21.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

22.

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

a)

4

b)

0

c)

3

d)

8

23.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

24.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

25.

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

a)

A cost of $7 to ride the taxi

b)

The cost to ride 7 miles

c)

The minimum distance to ride a taxi

d)

The minimum cost of a taxi

26.

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?

a)

After 4 hours of work, Derek makes $37.

b)

Derek needs $4 more to have $37 total.

c)

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

d)

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

27.

Ms. Brackemyer is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days. What is the meaning of p(8)=52?

a)

Ms. Brackemyer starts with 8 pencils and ends with 52.

b)

After 8 days, Ms. Brackemyer has 52 pencils.

c)

Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

d)

Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

28.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

29.

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

30.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

31.

Which parent function matches the graph?

a)

y = |x|

b)

y = x

c)

y = x²

d)

y = 2^x

32.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

33.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

34.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

35.

What type of function is shown?

a)

cube root

b)

square root

c)

logarithm

d)

exponential

36.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

37.

Describe the transformation.

a)

up 3

b)

down 3

c)

left 3

d)

right 3

38.

a)

Function

b)

Not a Function

39.

a)

Function

b)

Not a Function

40.

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

41.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

42.

g(x) = 3x + 1
g(2) = _______

a)

6

b)

7

c)

8

d)

9

43.

g(x) = x + 1
g(8) = ______

a)

9

b)

8

c)

7

d)

6

44.

f(x) = x² + 7
x(2) = ______

a)

10

b)

11

c)

13

d)

12

45.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

46.

If $f\left(x\right)=2x$ and $g\left(x\right)=2x^2-1$ find $g\left(f\left(-1\right)\right)$

a)

2

b)

15

c)

7

d)

-9

47.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

48.

What is the range of the graph?

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

49.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

50.

If the blue is f(x)=x^2,then the red must be

a)

g(x)=x²-5

b)

g(x)=x²+5

c)

g(x)=(x-5)²

d)

g(x)=(x+5)²

51.

What is the slope?

a)

4/3

b)

3/4

c)

1

d)

-1

52.

What is the y-intercept?

a)

-1

b)

1

c)

4/3

d)

0

53.

What is the slope?

a)

1/2

b)

-1/2

c)

2

d)

-2

54.

What is the y-intercept?

a)

1

b)

2.5

c)

5

d)

1/5

55.

What is the slope of the line y= -4x + 10?

a)

10

b)

4

c)

-4

d)

-10

11/23 Advanced Algebra Review

Total questions: 55

Worksheet time: 3hrs 33mins

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