Free Printable Math 2 Review #3

1.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

2.

The graph of y = (x - 3)² is shifted left 4 units and down 2 units. What is the axis of symmetry of the transformed graph?

a)

x = -2

b)

x = -1

c)

x = 1

d)

x = 7

3.

a)

{x | x > -4};
{y | y > 2}

b)

{x | x ≥ -4};
{y | y ≥ 2}

c)

{x | x > 2};
{y | y > -4}

d)

{x | x ≥ 2};
{y | y ≥ -4}

4.

Which of the following equations represents the function f(x) obtained by shifting the function
g(x) = x² four units to the right, then down one unit, and finally reflected over the x-axis?

a)

f(x) = -(x - 4)² - 1

b)

f(x) = -(x - 4)² + 1

c)

f(x) = -(x + 4)² + 1

d)

f(x) = -(x + 4)² - 1

5.

The time, y, to finish loading the boxes varies inversely as the number of people, x, working. If 10 people work, the job is completed in 16 hours. What is the constant of variation and the equation?

a)

160: y= 160x

b)

160; y=160/x

c)

5/8; y=5/8 x

d)

1.6; y=1.6/x

6.

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours? (Hint: there is one number given here you do not need to use)

a)

8 painters

b)

10 painters

c)

9 painters

d)

11 painters

7.

Which of these is an equavelent, simplified expression?
(81a³b⁴c¹²)^1/3

a)

81^1/3ab^4/3c⁴

b)

27ab^4/3c⁴

c)

4.3ab^4/3c⁴

d)

3^4/3ab^4/3c⁴

8.

What is the value of 27^⅓?

a)

27

b)

9

c)

3

d)

1/3

9.

Write in exponential form
∛x⁷

a)

x⁷∕ ³

b)

x3⁄7

c)

3x⁷

d)

7x³

10.

Write in exponential form
∜(3x)³

a)

3x³⁄ ⁴

b)

(3x)³∕ ⁴

c)

(3x)⁴⁄ ³

d)

3x⁴⁄ ³

11.

1)

a)

A

b)

B

c)

C

d)

D

12.

.

a)

A

b)

B

c)

C

d)

D

13.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

14.

10.

a)

a

b)

b

c)

c

d)

d

15.

Simplify.

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

C

c)

B

d)

D

17.

(6^3/4)^1/3

a)

6^1/4

b)

6^3/12

c)

6^4/7

d)

6^9/12

18.

An object is launched at 19.6 meters per second (m/s) from a platform. The equation for the object's height s at time t seconds after launch is s(t)=-16t²+110t+49, where s is in meters. How high is the object after 1 second?

a)

143 meters

b)

49 meters

c)

238 meters

d)

110 meters

19.

The function h(x) is defined as h(x)=x². If g(x) is the function h(x) translated up 4 and right 7, what is the formula for g(x) in vertex form?

a)

g(x)=(x+7)²+4

b)

g(x)=(x-4)²+7

c)

g(x)=(x-7)²+4

d)

g(x)=(x+4)²-7

20.

Solve for x.

a)

24.20

b)

4.92

c)

290.4

d)

29.75

21.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

22.

Choose the correct ratio.

a)

sin^-1(9/20)

b)

cos^-1(9/20)

c)

tan^-1(9/20)

d)

cos^-1(20/9)

23.

What piece of information does c identify in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

24.

Find the y-intercept of
f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

25.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

26.

Irrational Numbers....

a)

cannot be represented as a simple fraction

b)

can be represented as a fraction

c)

can be a repeating decimal

27.

All rational numbers can be written as a fraction

a)

True

b)

False

28.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

29.

√2

a)

Rational

b)

Irrational

30.

Use a calculator to multiply:
Which value that is multiplied creates an answer that is IRRATIONAL?

a)

A

b)

B

c)

C

d)

D

31.

What is this?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

32.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

33.

Find the zeros

a)

±81

b)

±9

c)

±3

d)

No real solution

34.

What are the roots of the quadratic?

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

35.

Solve by factoring or DESMOS

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

36.

If the graph of a quadratic does not intercept the x axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

37.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

38.

Determine the values of a, b, and c for the quadratic equation: (look carefully)

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

39.

What are the transformations of this functions compared to the parent function?

a)

Shifted down 2

b)

Shifted up 2

c)

Shifted left 2

d)

Shifted right 2

40.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch factor 2, and shifted right 5

c)

Reflected over the x-axis, vertical stretch factor 2, and shifted left 5

d)

Shifted right 5, shifted down 2

41.

Which is the graph of the square root parent function?

a)

A

b)

B

c)

C

d)

D

42.

What is the equation of the function that is graphed?

a)

f(x)= - √x

b)

f(x) = √-x

c)

f(x) = - √-x

43.

All whole numbers are rational numbers

a)

True

b)

False

44.

A repeating decimal or decimal that terminates is called a

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

45.

If 6n² + 24 = 0

Find n?

a)

2√6, -2√6

b)

2i, -2i

c)

2, -2

d)

1, -1

46.

a)

√3

b)

±√3

c)

-3i

d)

i√3

47.

Does the equation show an inverse variation?
y=10/x

a)

yes

b)

no

48.

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

a)

5.33 hours

b)

6.75 hours

c)

12 hours

d)

10 hours

49.

What is the probability of flipping a coin and getting heads three times in a row?

a)

1/2

b)

1/3

c)

1/8

d)

Never, Tails never fails.

50.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

51.

The probability of it raining today is 30%. What is the probability that it will NOT rain?

a)

30%

b)

70%

c)

100%

d)

0%

52.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

53.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

54.

You pick a marble from this bag.
What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

55.

a)

.2855

b)

.6246

c)

.0922

d)

.3230

56.

What statement does the shaded region represent

a)

A or B

b)

Not A

c)

A and B

d)

Not B

57.

What statement does the shaded region represent?

a)

A or B

b)

A and B

c)

A

d)

B

58.

Find p(Honda|female).

a)

19/36

b)

19/40

c)

19/67

d)

21/67

59.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

60.

What is the ratio for Cosine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Hypotenuse / Adjacent Leg

61.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

62.

Find m∠N

a)

14

b)

65

c)

76

d)

53

63.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

64.

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

65.

Which rule would result in a translation of 2 units left and 3 units up?

a)

(x, y) → (2x, 3y)

b)

(x, y) → (x - 2, y + 3)

c)

(x, y) → (-x, -y)

d)

(x, y) → (x + 2, y - 3)

66.

Solve using the quadratic formula

a)

A

b)

B

c)

C

d)

D

Math 2 Review #3

Total questions: 66

Worksheet time: 4hrs 6mins

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