Free Printable Final Review

1.

1. Graph y = ¾x - 6

a)

b)

c)

d)

2.

2. A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table. Find the equation that best models the data.

a)

y = 5.1x + 0.23

b)

y = 5.1x + 465.40

c)

y = 0.49x + 465.40

d)

y = 465.40x + 5.10

3.

a)

-20

b)

20

c)

-44

d)

44

4.

4. Find the x-intercepts.

a)

b)

c)

d)

5.

a)

b)

c)

d)

6.

6. Solve the system.

a)

(-2, -6)

b)

(-1.67, 9.67)

c)

(1.67, 9.67)

d)

(1, 7)

7.

7. Solve for x.

a)

2

b)

-1

c)

-3

d)

13

8.

8. Simplify if possible.

a)

b)

c)

d)

9.

9. Multiply.

a)

b)

c)

d)

10.

10. Find the inverse, if it exists.

a)

b)

c)

d)

Does not exist

11.

11. If f(x) = x² + 4 and g(x) = x-3, find f(g(x)).

a)

x² - 6x + 13

b)

x² - 6x + 9

c)

x² - 3x + 13

d)

x² - 3x + 9

12.

a)

Right 5, up 7

b)

Right 5, down 7

c)

Left 5, down 7

d)

Left 5, up 7

13.

13. Which equation represents the transformation of

the parent function

a)

b)

c)

d)

14.

14. Determine if the graph of

y = 2x² is even, odd, both, or

none.

a)

Even

b)

Odd

c)

Both

d)

None

15.

15. Find the inverse.

a)

b)

c)

d)

16.

16. Factor: x³ + 216

a)

b)

c)

d)

17.

17. Factor completely: x³ + 4x² – x – 4

a)

b)

c)

d)

18.

18. Divide using long division.

a)

b)

c)

d)

19.

19. Given a factor of the polynomial, use synthetic division to solve completely.

a)

3, 2, –4

b)

–3, –2, 4

c)

2, –4

d)

–2, 4

20.

What is the equation in factored form of this graph?

a)

b)

c)

d)

21.

Find the horizontal and vertical asymptote of the rational function.

a)

no asymptote

b)

y=0, x = -3

c)

y=2, x = -3

d)

y= -3, x = 2

22.

Find the limit x→1^–

a)

DNE

b)

1

c)

4

d)

-2

23.

Find the limit x→1⁺

a)

DNE

b)

1

c)

4

d)

-2

24.

Find the limit x→1

a)

DNE

b)

1

c)

4

d)

-2

25.

Find the derivative using the power rule: f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

a)

b)

c)

d)

26.

Use the change of base formula to find log₂ 18 .

a)

4.97

b)

3.41

c)

4.17

d)

2.21

27.

Evaluate.

a)

-3

b)

-4

c)

2

d)

8

28.

Expand

a)

4ln3y - 3lnx

b)

ln3 + 4lny - 3lnx

c)

4ln3lny - 3lnx

d)

ln3 + lny⁴ - lnx³

29.

a)

$27,311.32

b)

$21,494.14

30.

Solve the equation.

a)

–4

b)

4

c)

2

d)

3

31.

A 20-foot extension ladder leans against the

side of a building. Find the distance, h, up the

side of the building if the angle of elevation of

the ladder is 43°.

a)

13.64

b)

29.33

c)

14.63

d)

18.65

32.

Which is the correct trigonometric ratio for an angle θ in standard position at the point (2, -3)?

a)

b)

c)

d)

33.

Evaluate sin 315°

a)

b)

c)

d)

34.

Evaluate.

a)

undefined

b)

0

c)

1

d)

-1

35.

State the amplitude and period of the function: y = –5sin3x.

a)

b)

c)

d)

36.

Simplify the expression using trig identities.

a)

sec x

b)

sin x

c)

csc x

d)

1

37.

Which of the following is the expression in simplified form?

a)

cos θ

b)

sin θ

c)

1

d)

sec² θ

38.

Find the exact value of cos(60º – 45º)

a)

b)

c)

d)

39.

In what quadrants are the solution to 2sinθ – 1 = 0?

a)

I and II

b)

II and IV

c)

III and IV

d)

II and III

40.

Solve.

a)

30º and 150º

b)

30º and 120º

c)

60º and 120º

d)

30º and 210º

41.

Which of the following is an example of categorical data?

a)

High School Graduate or Not

b)

Annual Income

c)

Years of Schooling Completed

d)

Years of playing an instrument

42.

Describe the data distribution shape of the graph.

a)

Skewed right

b)

Skewed left

c)

Uniform

d)

Symmetrical

43.

Which profession had the greatest range of salaries?

a)

Nuclear engineer

b)

Police officer

c)

Musician

d)

Impossible to tell

44.

A math test had an mean score of 75 and a standard deviation of 5. A biology test has a mean score of 77 with a standard deviation of 3.

If a student got a 82 on their math test and a 81 on their biology test, which of the following is true?

a)

The student did better on the math test than the

bio test, on average

b)

The student did better on the bio test than the

math test, on average

c)

The student did the same in comparison to both tests

d)

There is no way to tell how the student did

45.

A math test had an mean score of 75 and a standard deviation of 5. A biology test has a mean score of 77 with a standard deviation of 3. A student got a 82 on their math test and a 81 on their biology test.

What was the students percentile on the math test?

a)

91.92%

b)

8.08%

c)

50%

d)

88.49%

Final Review

Total questions: 45

Worksheet time: 2hrs 46mins

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