Free Printable Math 2

1.

Solve for X

a)

7.5

b)

6.8

c)

10.2

d)

8.9

2.

What transformation is happening?(x, y) ----> (x + 2, y - 3)

a)

Slide up 2, left 4

b)

Slide right 3, Up 2

c)

Slide right 2, down 3

d)

Slide right 3, left 2

3.

Find the measure of the missing angle?

a)

32 degrees

b)

57 degrees

c)

62 degrees

d)

44 degrees

4.

Solve the value of X

a)

6.0

b)

5.0

c)

6.4

d)

7.7

5.

Reflect the point (2, -4) over the y-axis.

a)

(-2,-4)

b)

(-4,2)

c)

(-2,4)

d)

(4,2)

6.

∠A and ∠B are supplementary. If ∠A = 36°, then what is the m∠B ?

a)

113 degrees

b)

125 degrees

c)

97 degrees

d)

144 degrees

7.

Match the following

a)

1.

Less than 90 degrees

b)

2.

Exactly 90 degrees

c)

3.

More than 90 degrees

d)

4.

Two equal sides of length

e)

5.

All three sides have different lengths

8.

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)

86.9 feet

b)

72.6 feet

c)

69.5 feet

d)

44.7 feet

9.

Determine the measure of ∠A.

a)

38 degrees

b)

49.5 degrees

c)

53 degrees

d)

59 degrees

10.

A ball is thrown straight up into the air from an initial height of 49 meters

with an initial velocity of 14.7 meters per second. The height of the ball

in meters, h, can be modeled by the following quadratic equation,

where t is the time in seconds after the ball was thrown.

h = -4.9t² + 14.7t + 49

What was the maximum height of the ball?

a)

55.045 meters

b)

60.025 meters

c)

361.023 meters

d)

136.025 meters

11.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

5 seconds

b)

5.5 seconds

c)

6.75 seconds

d)

7 seconds

12.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(-15,-4)

b)

(5,-4)

c)

(15,-4)

d)

(-5,-4)

13.

Find the axis of symmetry forf(x) = x²- 8x + 15.

a)

y=3

b)

x=-2

c)

x=4

d)

y=-4

14.

Write y = x² + 4x - 1 in vertex form.

a)

y = (x + 2)² - 5

b)

y = (x + 2)² - 1

c)

y = (x - 2)² + 5

d)

y = (x + 2)² - 1

15.

A rectangular room has an area of 80 square feet. The length of the room is 2 feet more than its width. What is the length of the room?

a)

6 feet

b)

10 feet

c)

9 feet

d)

7 feet

16.

The area of a rectangle is given by the function

A(x) = w² + 23w + 132. Which of the following expressions represents one of the dimensions of the rectangle?

a)

w+12

b)

w+7

c)

w+13

d)

w+9

17.

Solve the system:

y = x² + 3x - 5

y = x + 3

a)

(2, -1 and (-4, 5)

b)

(-4, 1) and (2, -1)

c)

(-4, 2) and (-1, 5)

d)

(-4, -1) and (2, 5)

18.

The Force, F, acting on a charged object varies inversely to the square of its distance, r, from another object. When the two objects are 0.64 meters apart, the force acting on them is 8.2 Newtons. Approximately how much force would the object feel if is at a distance of 0.77 meters from the other object?

a)

11.8 newtons

b)

5.7 newtons

c)

8.2 newtons

d)

9.4 newtons

19.

Given the system of equations: y = x² + 2x + 8y = -4x What is the smallest value of y that is a solution to the system?

a)

y=-8

b)

y=4

c)

y=12

d)

y=-2

20.

A parabola has a vertex at (-3,2).Where is the axis of symmetry?

a)

x=2

b)

x=-3

c)

y=-4

d)

y=5

21.

A ball is dropped from a height of 5 feet. If it only bounces to 80% of its previous height every time, how far does the ball travel if nothing stops it?

a)

25 feet

b)

45 feet

c)

50 feet

d)

30 feet

22.

Chloe is choosing 6 classes for next semester from 10 core classes and 12 electives. If she must take at least 4 “core” classes, how many distinct sets of classes can she choose?

a)

15,546

b)

12,305

c)

17,094

d)

21,893

23.

What is the sum of the coefficients of the expansion (2x + 8y)⁶?

a)

525,000

b)

1,000,000

c)

250,000

d)

175,000

24.

Desperate Danny is entering a lottery with 1,000 $5 tickets for sale, a $3,000 first-place prize and 3 $100 second-place prizes. What is the expected value of participating in this lottery?

a)

-$2.00

b)

$4.75

c)

$2.25

d)

-$1.70

25.

Adelaide puts $50 in bank A that offers a 5% interest rate compounded quarterly. A year later, she puts $60 in bank B that offers a 7.5% interest rate compounded monthly. How long from the $60 deposit will the amount in both banks be equal?

a)

Never

b)

2.55 years

c)

3.85 years

d)

1.37 years

26.

Erin rolls a die six times and wants to determine the probability of getting a different value every time. Is this a binomial probability? If not, why?

a)

No, There is not a fixed number of trials

b)

Yes, It is

c)

No, The trials are not independent

d)

Yes, I am so smart so there is

27.

Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

a)

30-2x=6

b)

6x+2=30

c)

2x+6=30

d)

x=2x+6

28.

3x - 4 = x + 6

a)

x=5

b)

x=-3

c)

x=9

d)

x=-7

29.

Which equation represents the following graph?

a)

y=-2x+3x

b)

y=3x+2

c)

y=2x+3

d)

y=-3x+2

30.

For the given system, What method would require the least amount of steps?

a)

Elimination

b)

Substitution

31.

What is the midpoint between (3, -1) and (7, -5)

a)

(5,-2)

b)

(10,-6)

c)

(-3,-5)

d)

(5,-3)

32.

the measure of two angle of a triangle is 77 degrees, and 55 degrees. what type of triangle is this triangle

a)

right triangle

b)

obtuse triangle

c)

acute triangle

d)

scalene triangle

33.

when a shape is flipped over the x axis it is...

a)

a reflection

b)

a translation

c)

a rotation

d)

a dialation

34.

prove it

a)

asa

b)

sas

c)

aaa

d)

sss

35.

what is the value of o

a)

68

b)

112

c)

90

d)

235

36.

Geraldo has a deck of cards and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards and then pulls a blue marble out of the bag?

a)

3 ⁄ 15

b)

2 ⁄ 65

c)

7 ⁄ 52

d)

14 ⁄ 260

37.

In the xy-plane, what is the y-intercept of the graph of the equation $y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$ ?

a)

-9

b)

$-\frac{1}{2}$

c)

3

d)

9

38.

What is the angle relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

39.

a)

480

b)

500

c)

525

d)

600

40.

a)

A

b)

B

c)

C

d)

D

41.

For which of the following values of x is the function $f\left(x\right)=\sqrt{4-x^2}$ NOT defined as a real number?

a)

-2

b)

0

c)

2

d)

4

42.

What is the probability of getting any letter that is not A?

a)

6/8

b)

3/4

c)

2/8

d)

1/4

43.

a)

A

b)

B

c)

C

d)

D

44.

Under ideal conditions, the population of a certain species doubles every nine years. If the population started with 100 individuals, which of the following expressions gives the population of the species t years after the population started, assuming that the population has been living under ideal conditions?

a)

$2\times100^{9t}$

b)

$2\times100^{\frac{t}{9}}$

c)

$100\times2^{9t}$

d)

$100\times2^{\frac{t}{9}}$

45.

Identify the m<JNK

a)

52⁰

b)

90⁰

c)

128⁰

d)

142⁰

46.

a)

A

b)

B

c)

C

d)

D

47.

The area of the triangle shown is 21. What is the value of x?

a)

3

b)

6

c)

7

d)

11

48.

What ratio is equal to sin 59⁰?

a)

AB/AC

b)

AB/BC

c)

BC/AC

d)

AC/AB

49.

Which of the following is NOT equivalent to $\left(3x-12\right)\left(x+4\right)$ ?

a)

$3\left(x^2-8x+16\right)$

b)

$3\left(x^2-16\right)$

c)

$3x^2-48$

d)

$3x\left(x+4\right)-12\left(x+4\right)$

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image back onto the original triangle?

a)

rotation 270° counterclockwise around the origin.

b)

rotation 180° counterclockwise around the origin.

c)

reflection across the line y = x

d)

reflection across the line y = -x

53.

a)

0.09

b)

0.14

c)

0.60

d)

0.74

54.

a)

A

b)

B

c)

C

d)

D

55.

What is the value of x?

a)

22°

b)

10°

c)

9°

d)

7°

56.

Solve for the "y" value in the system. (write answer as y=#)

(a)

57.

Which of the following is a solution for the following system:
$y=2\sqrt{x+5}$
$y=4\left(x+3\right)^2-2$

a)

x = -5

b)

x = -4

c)

x = 2

d)

x = 5

58.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

59.

If $5c-2=3c$ , then $24c=$ ?

a)

6

b)

8

c)

16

d)

24

60.

Simplify: $5\sqrt{-24}$

a)

$4i\sqrt{6}$

b)

$10i\sqrt{6}$

c)

$9i\sqrt{6}$

d)

$30i$

61.

Find the measure of angle A.

a)

-10

b)

65

c)

115

d)

135

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

$m=-1$

b)

$m=1$

c)

$m<1$

d)

$m>1$

65.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

66.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

67.

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

a)

$3.25

b)

$5.25

c)

$7.75

d)

$17.25

68.

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown. What can you conclude about the two functions?

a)

ƒ(x) has a greater maximum than g(x).

b)

g(x) has a greater maximum than ƒ(x).

c)

ƒ(x) has a minimum, while g(x) has a maximum.

d)

g(x) and ƒ(x) have the same maximum.

69.

Over which interval is the function below increasing or decreasing?
$f\left(x\right)=-\sqrt{x+1}+5$

a)

Increasing; $x\le-1$

b)

Decreasing; $x\ge5$

c)

Decreasing; $x\ge1$

d)

Decreasing; $x\ge-1$

70.

What is the value of x? Round to the nearest tenth.

a)

16.4

b)

12.2

c)

17.6

d)

24.5

71.

Re-write the expression in radical form.
x^2/3

a)

(∛x)²

b)

√x³

c)

(1/x)

d)

∛x

72.

Simplify the following expression

a)

$\frac{x^5}{y^2}$

b)

$\frac{y^2}{x^5}$

c)

$x^5y^2$

d)

$x^5y^{-3}$

73.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

74.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

75.

a)

A

b)

B

c)

C

d)

D

76.

Reyna has 5 coins worth 10 cents each and 4 coins worth 25 cents each. If she chooses two of these coins at random, what is the probability that the two coins combined will be worth at least 35 cents?

a)

$\frac{5}{18}$

b)

$\frac{5}{9}$

c)

$\frac{13}{18}$

d)

$\frac{71}{72}$

77.

Simplify: $5\sqrt{-24}$

a)

$4i\sqrt{6}$

b)

$10i\sqrt{6}$

c)

$9i\sqrt{6}$

d)

$30i$

78.

If $5c-2=3c$ , then $24c=$ ?

a)

6

b)

8

c)

16

d)

24

79.

Rewrite into rational exponent form.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

80.

Which of the following is true?

a)

$\cos\left(B\right)=\frac{24}{25}$

b)

$\tan\left(B\right)\ =\frac{7}{24}$

c)

$\sin\left(A\right)=\frac{24}{25}$

d)

$\cos\left(B\right)=\frac{7}{25}$

81.

Solve for the "y" value in the system. (write answer as y=#)

(a)

82.

Running at an average rate of 6 miles per hour, how many minutes would it take Kyle to run 3 miles?

a)

18

b)

30

c)

40

d)

45

83.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. What is the max height of the fireworks?

a)

2.625

b)

6.25

c)

100

d)

210.25

84.

Over which interval is the function below increasing or decreasing?
$f\left(x\right)=-\sqrt{x+1}+5$

a)

Increasing; $x\le-1$

b)

Decreasing; $x\ge5$

c)

Decreasing; $x\ge1$

d)

Decreasing; $x\ge-1$

85.

In the xy-plane, what is the y-intercept of the graph of the equation $y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$ ?

a)

-9

b)

$-\frac{1}{2}$

c)

3

d)

9

86.

Under ideal conditions, the population of a certain species doubles every nine years. If the population started with 100 individuals, which of the following expressions gives the population of the species t years after the population started, assuming that the population has been living under ideal conditions?

a)

$2\times100^{9t}$

b)

$2\times100^{\frac{t}{9}}$

c)

$100\times2^{9t}$

d)

$100\times2^{\frac{t}{9}}$

87.

Identify the m<JNK

a)

52⁰

b)

90⁰

c)

128⁰

d)

142⁰

88.

a)

A

b)

B

c)

C

d)

D

89.

The area of the triangle shown is 21. What is the value of x?

a)

3

b)

6

c)

7

d)

11

90.

What ratio is equal to sin 59⁰?

a)

AB/AC

b)

AB/BC

c)

BC/AC

d)

AC/AB

91.

Which of the following is NOT equivalent to $\left(3x-12\right)\left(x+4\right)$ ?

a)

$3\left(x^2-8x+16\right)$

b)

$3\left(x^2-16\right)$

c)

$3x^2-48$

d)

$3x\left(x+4\right)-12\left(x+4\right)$

92.

a)

A

b)

B

c)

C

d)

D

93.

a)

A

b)

B

c)

C

d)

D

94.

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image back onto the original triangle?

a)

rotation 270° counterclockwise around the origin.

b)

rotation 180° counterclockwise around the origin.

c)

reflection across the line y = x

d)

reflection across the line y = -x

95.

a)

0.09

b)

0.14

c)

0.60

d)

0.74

96.

a)

A

b)

B

c)

C

d)

D

97.

What is the value of x?

a)

22°

b)

10°

c)

9°

d)

7°

98.

Solve for the "y" value in the system. (write answer as y=#)

(a)

99.

Which of the following is a solution for the following system:
$y=2\sqrt{x+5}$
$y=4\left(x+3\right)^2-2$

a)

x = -5

b)

x = -4

c)

x = 2

d)

x = 5

100.

Find h

a)

35.60

b)

35.00

c)

35.71

d)

61.03

101.

If $5c-2=3c$ , then $24c=$ ?

a)

6

b)

8

c)

16

d)

24

102.

Simplify: $5\sqrt{-24}$

a)

$4i\sqrt{6}$

b)

$10i\sqrt{6}$

c)

$9i\sqrt{6}$

d)

$30i$

103.

Find the measure of angle A.

a)

-10

b)

65

c)

115

d)

135

104.

a)

A

b)

B

c)

C

d)

D

105.

a)

A

b)

B

c)

C

d)

D

106.

a)

$m=-1$

b)

$m=1$

c)

$m<1$

d)

$m>1$

107.

Identify the following function.

a)

Linear

b)

Exponential

c)

Quadratic

d)

Neither

108.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

109.

Richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost?

a)

$3.25

b)

$5.25

c)

$7.75

d)

$17.25

110.

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown. What can you conclude about the two functions?

a)

ƒ(x) has a greater maximum than g(x).

b)

g(x) has a greater maximum than ƒ(x).

c)

ƒ(x) has a minimum, while g(x) has a maximum.

d)

g(x) and ƒ(x) have the same maximum.

111.

Over which interval is the function below increasing or decreasing?
$f\left(x\right)=-\sqrt{x+1}+5$

a)

Increasing; $x\le-1$

b)

Decreasing; $x\ge5$

c)

Decreasing; $x\ge1$

d)

Decreasing; $x\ge-1$

112.

What is the value of x? Round to the nearest tenth.

a)

16.4

b)

12.2

c)

17.6

d)

24.5

113.

Re-write the expression in radical form.
x^2/3

a)

(∛x)²

b)

√x³

c)

(1/x)

d)

∛x

114.

Simplify the following expression

a)

$\frac{x^5}{y^2}$

b)

$\frac{y^2}{x^5}$

c)

$x^5y^2$

d)

$x^5y^{-3}$

115.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

116.

Choose the correct answer.

a)

A

b)

B

c)

C

d)

D

117.

a)

A

b)

B

c)

C

d)

D

118.

Reyna has 5 coins worth 10 cents each and 4 coins worth 25 cents each. If she chooses two of these coins at random, what is the probability that the two coins combined will be worth at least 35 cents?

a)

$\frac{5}{18}$

b)

$\frac{5}{9}$

c)

$\frac{13}{18}$

d)

$\frac{71}{72}$

119.

Simplify: $5\sqrt{-24}$

a)

$4i\sqrt{6}$

b)

$10i\sqrt{6}$

c)

$9i\sqrt{6}$

d)

$30i$

120.

If $5c-2=3c$ , then $24c=$ ?

a)

6

b)

8

c)

16

d)

24

121.

Rewrite into rational exponent form.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

122.

Which of the following is true?

a)

$\cos\left(B\right)=\frac{24}{25}$

b)

$\tan\left(B\right)\ =\frac{7}{24}$

c)

$\sin\left(A\right)=\frac{24}{25}$

d)

$\cos\left(B\right)=\frac{7}{25}$

123.

Solve for the "y" value in the system. (write answer as y=#)

(a)

124.

Running at an average rate of 6 miles per hour, how many minutes would it take Kyle to run 3 miles?

a)

18

b)

30

c)

40

d)

45

125.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. What is the max height of the fireworks?

a)

2.625

b)

6.25

c)

100

d)

210.25

126.

Over which interval is the function below increasing or decreasing?
$f\left(x\right)=-\sqrt{x+1}+5$

a)

Increasing; $x\le-1$

b)

Decreasing; $x\ge5$

c)

Decreasing; $x\ge1$

d)

Decreasing; $x\ge-1$

127.

In the xy-plane, what is the y-intercept of the graph of the equation $y=6\left(x-\frac{1}{2}\right)\left(x+3\right)$ ?

a)

-9

b)

$-\frac{1}{2}$

c)

3

d)

9

Math 2

Total questions: 127

Worksheet time: 1hrs 5mins

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