Free Printable Semester #2 (part 2) IM2 Practice Final (23-24)

1.

Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }

a)

{ (1, 3), (2, 3), (5, 1), (6, 4) }

b)

{ (-1, -3), (-2, -3), (-5, -1), (-6, -4) }

c)

{ (3, -1), (-3, 2), (-5, 1), (4, -6) }

d)

{ (-3, 1), (3, -2), (1, 5), (4, 6) }

2.

Graph the inverse (Hint: look at y=x)

a)

b)

c)

d)

3.

Which is the inverse of the table?

a)

b)

c)

d)

4.

Find the inverse of $f\left(x\right)=9x-1$ .

a)

$f^{-1}\left(x\right)=x-\frac{1}{9}$

b)

$f^{-1}\left(x\right)=-9x+1$

c)

$f^{-1}\left(x\right)=\frac{x+1}{9}$

d)

$f^{-1}\left(x\right)=\frac{x-1}{9}$

5.

Find the inverse: f(x) = 3x + 2

a)

f^-1(x) = 2x + 3

b)

f^-1(x) = -3x + 2

c)

f^-1(x) = (x-2)/3

d)

f^-1(x) = (x-3)/2

6.

Find the inverse

a)

f^-1(x) = 2x+16

b)

f^-1(x) = 2x-16

c)

f^-1(x) = 2x - 8

d)

f^-1(x) = x + 16

7.

Which of the following represents the DOMAIN of the graph?

a)

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

b)

$\left[-1,\infty\right)$

c)

$\left[0,\infty\right)$

d)

$\left(-\infty,1\right]$

8.

Which of the following represents the RANGE of the graph?

a)

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

b)

$\left[-1,\infty\right)$

c)

$\left[0,\infty\right)$

d)

$\left(-\infty,1\right]$

9.

Problem #2

Graph the function. Compare the graph to the graph of $f\left(x\right)=\sqrt[3]{x}$ .

$g\left(x\right)=\sqrt[3]{x+1}$

The graph of h is a (a) (b) (c) unit(s) (d) of the graph of f.

Choose from the below words

horizontal

vertical

translation

shrink

stretch

6

right

left

up

1

10.

Problem #4

Graph the function. Compare the graph to the graph of $f\left(x\right)=\sqrt[3]{x}$ .

$g\left(x\right)=\sqrt[3]{x}-3$

The graph of g is a (a) (b) (c) units (d) of the graph of f.

Choose from the below words

horizontal

vertical

translation

shrink

stretch

3

1

down

left

up

11.

Problem #12

Graph the function. Compare the graph to the graph of $f\left(x\right)=\sqrt[3]{x}$ .

$h\left(x\right)=-\sqrt[3]{x}+3$

The graph of h is a (a) in the (b) and a (c) (d) units (e) of the graph of f

Choose from the below words

horizontal

x-axis

1

down

left

up

reflection

translation

3

y-axis

12.

Problem #16

Graph the function. Compare the graph to the graph of $f\left(x\right)=\sqrt[3]{x}$ .

$m\left(x\right)=3\sqrt[3]{x}+7$

The graph of m is a (a) (b) by a factor of (c) and a translation (d) units (e) of the graph of f.

Choose from the below words

horizontal

shrink

up

vertical

stretch

7

2

down

3

13.

Determine which graph matches the given equation.

a)

b)

c)

d)

e)

14.

Determine which graph matches the given equation.

a)

b)

c)

d)

e)

15.

Determine which graph matches the given equation.

a)

b)

c)

d)

e)

16.

Determine which graph matches the given equation.

a)

b)

c)

d)

e)

17.

What is the A-value of the function?

a)

2

b)

8

c)

-8

d)

-2

18.

What is the K-value of the function?

a)

5

b)

-5

c)

-1

d)

1

19.

What is the Domain of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

20.

What is the Range of ALL Cube Root Functions?

a)

(−∞,∞)

b)

[0,∞)

c)

(−∞,0]

d)

All Cube Root Functions are different.

21.

What is the tangent ratio?

a)

b)

c)

22.

What side does x represent?

a)

Adjacent Leg

b)

Hypotenuse

c)

Opposite Leg

23.

What side does x represent?

a)

Adjacent Leg

b)

Hypotenuse

c)

Opposite Leg

24.

What side does x represent?

a)

hypotenuse

b)

right angle

c)

adjacent leg

d)

opposite leg

25.

Using the triangle shown, which of the following is the ratio for $\tan\left(\theta\right)$

a)

$\frac{16}{12}$

b)

$\frac{12}{16}$

c)

$\frac{12}{20}$

d)

$\frac{16}{20}$

26.

Using the triangle shown, which of the following is the ratio for $\tan\left(\theta\right)$

a)

$\frac{8}{17}$

b)

$\frac{15}{17}$

c)

$\frac{8}{15}$

d)

$\frac{15}{8}$

27.

Find the value of x. Round to the nearest hundredths place.

28.

Find the value of x. Round to the nearest hundredths place.

29.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

30.

Solve for x° using inverse tangent.

a)

30°

b)

36.9°

c)

27.6°

d)

65.2°

31.

Solve for the missing angle.

a)

33°

b)

64°

c)

52°

d)

35°

32.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63 ft

b)

65 ft

c)

74 ft

d)

87 ft

33.

a)

\frac{8}{15}

b)

$\frac{8}{17}$

c)

$\frac{15}{8}$

d)

$\frac{15}{17}$

34.

a)

\frac{3}{5}

b)

$\frac{4}{5}$

c)

$\frac{5}{3}$

d)

$\frac{5}{4}$

35.

a)

\frac{12}{13}

b)

$\frac{5}{13}$

c)

$\frac{5}{12}$

d)

$\frac{13}{5}$

36.

Calculate, in degrees, the size of the marked unknown angle.

(a)

37.

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

(a)

38.

Calculate, in degrees, the size of the marked unknown angle.

Give your answer correct to 1 decimal place.

(a)

39.

Work out the value of x correct to 1.dp

a)

16.1

b)

16.2

c)

15.3

d)

15.1

40.

a)

\frac{13}{5}

b)

$\frac{12}{13}$

c)

$\frac{12}{5}$

d)

$\frac{5}{13}$

41.

a)

\frac{4}{3}

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{3}{4}$

42.

a)

\frac{21}{29}

b)

$\frac{21}{20}$

c)

$\frac{29}{20}$

d)

$\frac{20}{29}$

43.

a)

\frac{3}{5}

b)

$\frac{5}{3}$

c)

$\frac{3}{4}$

d)

$\frac{4}{5}$

44.

Find the angle measure.

a)

A

b)

B

c)

C

d)

D

45.

Find the angle measure.

a)

A

b)

B

c)

C

d)

D

46.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

47.

What is the rule for a 45-45-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

48.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

49.

Find x - the length of the hypotenuse of the triangle.

a)

5

b)

5√2

c)

10

d)

5√3

50.

What is the rule for a 3-60-90 triangle?

a)

$x,\ x,\ x\sqrt{2}$

b)

$x,\ x\sqrt{3},\ 2x$

51.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

52.

Find x.

a)

4

b)

2

c)

√3

d)

2√2

53.

Find x.

a)

10

b)

√3

c)

5

d)

10√3

54.

What is the value of y?

a)

$5\sqrt[]{2}$

b)

$10$

c)

$5$

d)

$5\sqrt[]{6}$

e)

$None\ of\ these$

55.

1. What is sin(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

56.

2. What is cos(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

57.

3. What is tan(30)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

$\frac{1}{\sqrt{3}}$

58.

4. What is sin(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

$\frac{1}{\sqrt{3}}$

59.

5. What is cos(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

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

e)

$\frac{1}{\sqrt{3}}$

60.

6. What is tan(60)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

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

d)

$\frac{1}{\sqrt{3}}$

61.

7. What is sin(45)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

$\frac{1}{\sqrt{2}}$

d)

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

62.

8. What is cos(45)

a)

$\frac{1}{2}$

b)

$\sqrt{3}$

c)

$\frac{1}{\sqrt{2}}$

d)

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

e)

$\frac{1}{\sqrt{3}}$

63.

9. What is tan(45)

a)

$\frac{1}{2}$

b)

$1$

c)

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

d)

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

64.

If ∠1=70°, what is ∠3?

a)

110°

b)

70°

c)

35°

d)

90°

65.

If ∠1=70°, what is ∠4?

a)

110°

b)

70°

c)

35°

d)

90°

66.

What is the measure of x?

a)

40°

b)

50°

c)

100°

d)

130°

67.

What is the measure of x?

a)

38°

b)

52°

c)

128°

d)

142°

68.

The measure of ∠6 is 72°. What is ∠1?

a)

18°

b)

162°

c)

108°

d)

72°

69.

The measure of ∠6 is 72°. What is ∠3?

a)

18°

b)

90°

c)

108°

d)

72°

70.

The measure of ∠6 is 72°. What is ∠4?

a)

18°

b)

90°

c)

108°

d)

72°

71.

ACE is a straight line.

a)

40+x+25=90

b)

40+x+25=180

c)

x=90

72.

When viewed from the side, the frame of a ball-return net forms a linear pair. Which equation would be used to find m∠ECD?

a)

(4x+8)=(x+2)

b)

(4x+8)+(x+2)=90

c)

(4x+8)=(x+2)=180

d)

(4x+8)+(x+2)=180

73.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

74.

Find the supplementary angle for 75 degrees...

a)

105 degrees

b)

95 degrees

c)

103 degrees

75.

Solve for x

a)

20

b)

25

c)

120

d)

180

76.

Solve for x

a)

5

b)

90

c)

25

d)

10

77.

Identify the angle pair.

a)

complementary angles

b)

linear pair

c)

supplementary

d)

vertical angles

78.

Identify the angle pair.

a)

Complementary angles

b)

Congruent angles

c)

Linear Pair

d)

Vertical Angles

79.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

80.

Identify the angle pair

a)

adjacent angles

b)

complementary angles

c)

consecutive angles

d)

supplementary angles

81.

4 & 9

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

82.

3 & 5

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

83.

5 & 7

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

84.

10 & 11

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

85.

1 & 6

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

86.

6 & 8

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

87.

2 & 3

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

88.

9 & 10

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

Semester #2 (part 2) IM2 Practice Final (23-24)

Total questions: 88

Worksheet time: 4hrs 12mins

Similar Resources on Wayground