Free Printable Math 4 Honors Final Exam Review

1.

Given f(x) = 16 - |x - 13|, find f(-4).

(a)

2.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

3.

$f\left(x\right)=x^2\ and\ g\left(x\right)=2x\ +\ 3$ Write an expression that represents the following composition: $g\left(f\left(x\right)\right)$

a)

$2x^2+3$

b)

$x^2$

c)

$2x\ +3$

d)

$2x^3+2x^2$

4.

What is the domain of the for the following piecewise function?

a)

$\left(-\infty,\ +\infty\right)$

b)

$\left[-6,\ +\infty\right)$

c)

$\left(-\infty,-5\right)\cup\left[-3,\ +\infty\right)$

d)

$\left[-5,\ 3\right)$

5.

What are the shifts of the graph

f\left(x\right)=\left(x+9\right)^3+4

from the parent graph of

f\left(x\right)=x^3

?

a)

Left 9 and Up 4

b)

Right 9 and Up 4

c)

Left 9 and Down 4

d)

Right 9 and Down 4

6.

What transformations has the function undergone?

a)

reflect over y, vertical compress by 2, right 5, up 1

b)

reflect over x, horizontal compression by 2, left 5, up 1

c)

reflect over x, vertical stretch by 2, right 5, up 1

d)

reflect over y, horizontal stretch by -2, right 5, up 1

7.

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

8.

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

a)

4x²+24

b)

4x²+20x+24

c)

4x²+12x+24

d)

4x²+4x+24

9.

f(x)=3x²+1
g(x)=4x+5
What is (f+g)(2)

a)

13

b)

0

c)

26

d)

6x²+8x+12

10.

Solve for x:

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

11.

log₄(3x-1)=log₄(2x+3)

a)

4

b)

3

c)

1

d)

8

12.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

13.

Expand

a)

6log₈v-2log₈u

b)

6log₈u-2log₈v

c)

3log₈u-2log₈v

d)

6log₈u+2log₈v

14.

Condense

a)

4log₃x-4log₃y

b)

log₃(x⁴/y⁴)

c)

log₃(x⁴y⁴)

d)

log₃(x⁴) - log₃(y⁴)

15.

Condense

a)

log₈(a¹⁸/b³)

b)

log₈(a¹⁸b³)

c)

log₈(a/b³)

d)

15log₈(a/b³)

16.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

17.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

18.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

19.

Evaluate cos(225°)

a)

$-\frac{\sqrt{2}}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{1}{2}$

20.

Evaluate $\sin\left(\frac{\pi}{2}\right)$

a)

$-\frac{1}{2}$

b)

$\frac{1}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$-1$

e)

$1$

21.

Evaluate cos(-135°)

a)

$-\frac{\sqrt{2}}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

$-\frac{\sqrt{3}}{2}$

d)

$-\frac{1}{2}$

22.

What is the reciprocal of the sine function?

a)

cosecant

b)

cosine

c)

secant

d)

cotangent

23.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

24.

Cotangent is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

25.

Given the Cos(x) = -2/3, then the Sec(x) = ?

a)

-2/3

b)

-3/2

c)

3/2

d)

2/3

26.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

27.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

28.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

29.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

30.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

31.

$\cos\left(\theta\right)=?$

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

32.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

33.

Find the product of the two matrices.

a)

1 2
6 -8

b)

-3 -5
-5 -11

c)

-2 8
-6 -12

d)

2 -3
5 -2

34.

Can the operation be performed?

a)

Yes

b)

No

c)

tomato

d)

Maybe

35.

Evaluate the determinant of the matrix.

a)

-21

b)

0

c)

9

d)

12

36.

Find the inverse of the matrix below:

a)

b)

c)

d)

37.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

38.

Simplify:
(10+ 15i)-(48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

39.

Simplify
2i - 7i + 10

a)

10 - 5i

b)

5i

c)

10 + 9i

d)

10 + 5i

40.

i⁷⁹

a)

i

b)

1

c)

-1

d)

-i

41.

(2i)(3i)

a)

5i

b)

-5

c)

6i²

d)

-6

42.

i¹³

a)

-1

b)

1

c)

i

d)

-i

43.

Simplify

a)

A

b)

B

c)

C

d)

D

44.

Simplify

a)

A

b)

B

c)

C

d)

D

45.

A researcher randomly assigned students to two groups. One group was assigned to watch a violent television program while the other group watched a nonviolent program. The student's behavior was then recorded for incidences of aggressive behavior. Which research method is most appropriate?

a)

experimental

b)

census

c)

sample survey

d)

observational study

46.

Jane Goodall lived among wild chimpanzees intermittently for decades, studying their social and family systems while keeping her interaction with the chimpanzees to a minimum. Which research method is most appropriate?

a)

biased study

b)

census

c)

experiment

d)

observational study

47.

I can use data from a random sample to draw inferences about a population with an unknown characteristic of interest.

What is the most common amount of siblings to have shown in the histogram?

a)

0

b)

1

c)

4

d)

5

48.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the proportion of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

49.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

a)

28,000 km and 32,000 km.

b)

24,000 km and 34,000 km.

c)

26,000 km and 34,000 km.

d)

27,000 km and 31,000 km.

50.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

51.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

Math 4 Honors Final Exam Review

Total questions: 51

Worksheet time: 4hrs 11mins

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