Free Printable Math 2 Review Extravaganza

1.

What transformation is this?

a)

Vertical Transformation

b)

90° CCW

c)

270° CCW

d)

Reflection over y-axis

2.

Which figure is the image?

a)

Black

b)

Red

3.

Which transformation has an orientation change?

(a)

4.

What TYPES of transformations have no shape or size change?

(a)

5.

Given a size transformation with a scale factor K > 1, the perimeter (or corresponding length) of the image is _______ times longer than the pre-image.

a)

K²

b)

3

c)

9

d)

K

6.

△ABC is the pre-image. What ordered pair rule is being shown with the coordinates?

a)

180° Rotation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90° CCW Rotation/270° CW Rotation

7.

What is the Ordered Pair Rule for a Translation?

a)

(x,y)-->(y,x)

b)

(x,y)-->(kx,ky)

c)

(x,y)-->(x+h,y+k)

d)

(x,y)-->(x+k,y+h)

8.

What is the Ordered Pair Rule for a Rotation 270° CCW?

a)

(x,y)-->(y,-x)

b)

(x,y)-->(-y,x)

c)

(x,y)-->(-x,y)

d)

(x,y)-->(kx,ky)

9.

What is the Ordered Pair Rule for a Reflection across the y-axis?

a)

(x,y)-->(-x,y)

b)

(x,y)-->(-y,x)

c)

(x,y)-->(x,-y)

d)

(x,y)-->(x+h,y+k)

10.

What is the Ordered Pair Rule for a Rotation 180°?

a)

(x,y)-->(-y,-x)

b)

(x,y)-->(y,x)

c)

(x,y)-->(-x,-y)

d)

(x,y)-->(-x,y)

11.

Find the value of x.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

e)

x = 62

12.

Name the angle relationship.

a)

Complementary

b)

Supplementary

c)

Congruent

d)

Vertical

13.

Name the angle relationship.

a)

Complementary

b)

Supplementary

c)

Adjacent

d)

Vertical

14.

Name the angle relationship.

a)

Complementary

b)

Supplementary

c)

Linear Pair

d)

Vertical

15.

Two vertical angles are opposite each other. One has an angle measure of 55 degrees. What measure does the other angle have?

a)

45 degrees

b)

35 degrees

c)

55 degrees

d)

90 degrees

16.

Which angle is a linear pair with $\angle1$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle4$

d)

$\angle5$

e)

$\angle6$

17.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

18.

What type of angles are these? (select 3)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

19.

Angles A and B are COMPLEMENTARY. Angle A has a measure of 30 degrees, what is the angle measure of angle B?

a)

30 degrees

b)

60 degrees

c)

90 degrees

d)

180 degrees

20.

Angles C and D are SUPPLEMENTARY. Angle C has a measure of 30 degrees, what is the angle measure of angle D?

a)

30 degrees

b)

60 degrees

c)

150 degrees

d)

180 degrees

21.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

22.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

23.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

24.

What triangle congruence criteria is shown in the given diagram?

a)

AAS

b)

ASA

c)

SSA

d)

SAS

25.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

26.

Are the triangles similar?

a)

Yes

b)

No

c)

There is not enough information.

27.

The triangles are congruent. Which of the following statements must be true?

a)

∠A ≅ ∠D

b)

∠B ≅ ∠E

c)

AB ≅ DE

d)

BC ≅ FD

28.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

29.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

30.

Which of the following is a correct statement and reason for the proof shown?

a)

$\overline{DC}\cong\overline{DC}$ ; Reflexive Property

b)

$\angle A\cong\angle B$ ; Base Angles of Isosceles Triangle are Congruent

c)

$\angle1\cong\angle2$ ; Reflexive Property

d)

$\overline{AD}\cong\overline{DB}$ ; Definition of Bisect

31.

Choose the direct variation graph

a)

b)

c)

d)

32.

Choose the Inverse variation graph

a)

b)

c)

d)

33.

Choose the Direct variation equation

a)

$y=22x$

b)

$y=\frac{14}{x}$

c)

$y=5^x$

d)

$y=30-2x$

34.

Choose the Inverse variation equation

a)

$y=22x$

b)

$y=\frac{14}{x}$

c)

$y=5^x$

d)

$y=30-2x$

35.

Direct or Inverse Variation?

a)

Direct Variation

b)

Inverse Variation

36.

Direct or inverse?

a)

Direct Variation

b)

Inverse Variation

37.

The number of people on the dance floor and the amount of personal space you have to dance?

a)

Direct Variation

b)

Inverse Variation

38.

The retail price of sweatshirt and the amount of sales tax you pay?

a)

Direct Variation

b)

Inverse Variation

39.

The number of girls scout cookies sold, and the amount of money raised?

a)

Direct Variation

b)

Inverse Variation

40.

The number of chaperones on a school trip, and the number of students each chaperone is responsible for?

a)

Direct Variation

b)

Inverse Variation

41.

Ms. Avery is practicing her free throws at the gym. The graph shown models the height of the basketball in ft, over time in seconds.

What is the starting height of the basketball?

(a)

42.

Ms. Avery is practicing her free throws at the gym. The graph shown models the height of the basketball in ft, over time in seconds.

What is the maximum height the basketball reaches?

(a)

43.

Ms. Avery is practicing her free throws at the gym. The graph shown models the height of the basketball in ft, over time in seconds.

How long does it take for the basketball to hit the ground?

(a)

44.

Find the x-intercept and y-intercept from the table above.

a)

x-int: (0, 1) y-int: (-1, 0)

b)

x-int: (-1, 0) y-int: (0, 1)

c)

x-int: (1, 0) y-int: (0, -1)

d)

x-int: (0, -1) y-int: (1, 0)

45.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

46.

Determine the domain and range of the function

a)

Domain: $\left(-\infty,\ \infty\right)$ Range: $\left(-\infty,\ \infty\right)$

b)

Domain: $\left[-4.\ \infty\right)$ Range: undefined

c)

Domain: $\left(-\infty,\ \infty\right)$ , Range: $\left[-4,\ \infty\right)$

d)

Domain: $\left[-1,\ 5\right]$ , Range: $\left[-4,\ \infty\right)$

47.

State the domain and range.

a)

Domain: $\left(-\infty,\infty\right)$ , Range: $\left(-\infty,\ 5\right]$

b)

Domain: undefined , Range: $\left(-\infty,\infty\right)$

c)

Domain: $\left(-\infty,\ \infty\right)$ , Range: $\left(-\infty,\ 1\right]$

d)

Domain: $\left(-\infty,\ \infty\right)$ , Range: $\left[5,\ \infty\right)$

48.

State the interval of increase.

a)

$\left(-5,\ \infty\right)$

b)

$\left(-\infty,\ -5\right)$

c)

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

d)

$\left[-8,\ \infty\right)$

49.

State the interval of decrease.

a)

$\left(-5,\ \infty\right)$

b)

$\left(-\infty,\ -5\right)$

c)

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

d)

$\left[-8,\ \infty\right)$

50.

Write the equation of the graph in factored form.

a)

y=(x-4)(x+3)

b)

y=-(x+3)(x-4)

c)

y=(x+4)(x-3)

d)

y=-(x-3)(x+4)

51.

What are the transformations of the function: $f\left(x\right)=3\left(x+4\right)^2+6$

a)

Stretch of 3

Left 4

Up 6

b)

Stretch of 3

Right 4

Up 6

c)

Stretch of 3

Left 4

Down 6

d)

Stretch of 3

Right 4

Up 6

52.

What is the vertex of the function:

$f\left(x\right)=-4\left(x-1\right)^2$

a)

$\left(4,-1\right)$

b)

$\left(-4,1\right)$

c)

$\left(-1,0\right)$

d)

$\left(1,0\right)$

53.

What is the axis of symmetry of the function:

$f\left(x\right)=3\left(x+6\right)^2$

a)

$x=-3$

b)

$x=3$

c)

$x=6$

d)

$x=-6$

54.

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

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

55.

What are the transformation of the function: $f\left(x\right)=-\frac{1}{3}\left(x+7\right)^2$

a)

Reflection

Stretch of $\frac{1}{3}$

Right 7

b)

Reflection

Stretch of $\frac{1}{3}$

Left 7

c)

Reflection

Compression of $\frac{1}{3}$

Left 7

d)

Reflection

Compression of $\frac{1}{3}$

Right 7

56.

Convert to Standard Form:

f(x) = (x+7)(x-3)

a)

f(x) = x² +10x +21

b)

f(x) = x² -10x -21

c)

f(x) = x² +4x -21

d)

f(x) = x² +4x +21

57.

Convert to standard form: $y=\left(x+5\right)^2-15$

a)

$y=x^2+10$

b)

$y=x^2+10x\ +10$

c)

$y=x^2+25$

d)

$y=x^2+10x+25$

58.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

59.

Is this a perfect square trinomial?
x² + 18x + 9

a)

Yes

b)

No

60.

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

61.

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

a)

- 196

b)

49

c)

- 49

d)

28

62.

The tiles in this picture show how to complete the square for one of the following equations.

Which equation corresponds to these tiles?

a)

$x^2+2x-1$

b)

$x^2+2x-3$

c)

$x^2+2x-4$

d)

$x^2-2x+3$

63.

Identify the vertex form represented by these tiles.

a)

$\left(x+1\right)^2-3$

b)

$\left(x+1\right)^2$

c)

$\left(x+1\right)^2-4$

d)

$\left(x-1\right)^2+4$

64.

Convert to vertex form:

y = x² + 4x + 10

a)

y = (x + 4)² + 6

b)

y = (x + 2)² + 6

c)

y = (x + 4)² - 6

d)

y = (x + 2)² - 6

65.

Convert to vertex form:

y = x² + 8x + 2

a)

y = (x + 4)² - 14

b)

y = (x + 4)² - 6

c)

y = (x + 4)² - 18

d)

y = (x + 4)² + 6

66.

Now Bonnie is working on converting to vertex form. Her completing the square work is shown in the picture. Does she have any mistakes?

a)

no, no mistakes, and she brushed her teeth this time

b)

yes, she should've factored the x²-6x+9 to (x-6)²

c)

yes, the c value should've been -6

d)

yes, she should've subtracted the 9 at the end instead of adding

67.

Fill in the missing numbers (order doesn't matter)

a)

1,3

b)

-1, -3

c)

3, 12

d)

-1, 12

68.

Factor out the GCF:
12x + 6

a)

6(2x + 1)

b)

3(4x + 2)

c)

6x(2x + 1)

d)

2(6x + 3)

69.

Which function is equivalent to f(x)= x² - 6x + 10?

a)

f(x) = (x + 3)² - 1

b)

f(x) = (x - 3)² + 1

c)

f(x) = (x + 6)² - 10

d)

f(x) = (x - 6)² + 10

70.

What would you add to the quadratic to make it a perfect square?
$f\left(x\right)=x^2+11x+?$

a)

$121$

b)

$\frac{121}{4}$

c)

$\frac{11}{2}$

d)

$-\frac{121}{4}$

71.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

72.

x² + 44 = -15x

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

73.

Solve using Zero-Product Property
(x-11)(5x+1) = 0

a)

x = 11 or x = -1/5

b)

x = -11 or x = -1/5

c)

x = 11 or x = 1/5

d)

x = -11 or x = 1/5

74.

When using the Quadratic Formula method, what are a, b, and c for the equation: 9x²-x+7=2?

a)

a=9, b = -1, c =7

b)

a=1, b = 0, c =7

c)

a=9, b = -1, c =5

d)

a=9, b = 7, c =2

75.

Which of the following cannot be solved with the Square Root method?

a)

x²-9=0

b)

x²-15=0

c)

x²-9x=0

d)

6x²-15=0

76.

Solve for h.
(h - 2)² = 9

a)

h = 5, -1

b)

h = 5, -5

c)

h = 5

d)

h = -1

77.

What is the discriminant and how many solutions would this quadratic have?

-4x² - 8x - 8 = -4

a)

0, No Solutions

b)

0, 1 Solution

c)

128, 2 Solutions

d)

128, 1 Solution

78.

If the discriminant is positive, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

79.

If the discriminant equals 0, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

80.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solutions

81.

Solve. x² = √-36

a)

x = ± 6

b)

x = 6i

c)

x = ± 6i

d)

x = i√6

82.

Solve.
x² +12 = 5

a)

x = ± 49

b)

x = ± i√7

c)

x = ± √7

d)

x = ± 3.5i

83.

If the graph of a quadratic does not touch 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 / Imaginary solutions

84.

$x^2-6x\ +12\ =0$

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

a)

$3\pm i\sqrt{3}$

b)

$3\pm\ \sqrt{3}$

c)

$\frac{6\pm\sqrt{-12}}{2}$

d)

$3\pm i$

85.

When solving using the quadratic formula, if a = 2, b = 4 and c = 10, what are the errors in

$\frac{4\ \pm\sqrt{16\ -\ 4\left(2\right)\left(-10\right)}}{2}$

a)

The 4 outside the radical should be negative.

b)

The denominator should be 4, not 2.

c)

10 should be positive and not negative.

d)

All of the above

86.

Simplify completely using exponent properties: $\left(7^{-1}a^{-5}\right)^{-2}$

Use the ^ symbol (press shift and the number 6 key at the same time) to write an exponent. Don't include any extra spaces!

(a)

87.

Simplify completely using exponent properties: $\left(3a^5\right)^2\cdot\left(ab\right)^3$

Use the ^ symbol (press shift and the number 6 key at the same time) to write an exponent. Don't include any extra spaces!

(a)

88.

Simplify completely using exponent properties: $\frac{2y^{-3}}{3x^{-5}y^{10}}$

a)

$\frac{2x^5}{3y^7}$

b)

$\frac{3x^5}{2y^{13}}$

c)

$\frac{2x^5}{3y^{13}}$

d)

$6y^{-13}x^{-5}$

89.

The n on the radical symbol is called the (a) .

90.

The x under the radical symbol is called the (a) .

91.

Rewrite as a single radical expression: $x^{\frac{2}{5}}y^{\frac{6}{5}}$

a)

$\sqrt[5]{x^2y^6}$

b)

$\sqrt[5]{xy}$

c)

$\sqrt{\left(x^2y^6\right)^5}$

d)

$\left(x^2y^6\right)^{\frac{1}{5}}$

92.

Rewrite using rational exponents: $^3\sqrt{\frac{r}{t^4}}$

a)

$\frac{1}{r^{\frac{1}{3}}t^{\frac{4}{3}}}$

b)

$r^{\frac{1}{3}}t^{\frac{4}{3}}$

c)

$\frac{r^{\frac{1}{3}}}{t^{\frac{4}{3}}}$

d)

$r$

93.

A student started to simplify the given radical and wrote the prime factorization, but then got stuck. What will the final answer look like?

a)

$2x^2\ \ \sqrt[8]{xy^3}$

b)

$2x^2y\ \ \sqrt[8]{x}$

c)

$xy^3\ \ \sqrt[8]{2x^2}$

d)

$2x^2\ \ \sqrt[8]{xy}$

94.

Simplify completely: $-3\ \sqrt[3]{xy^2}\ +\ \sqrt[3]{xy^2}+\ 4\ \ \sqrt[3]{xy^2}$

a)

$2\ \sqrt[6]{xy^2}$

b)

$2\ \ \sqrt[3]{xy^2}$

c)

$8\ \ \sqrt[3]{xy^2}$

d)

$2\ \ \sqrt[6]{x^3y^6}$

95.

Simplify completely: $\sqrt{x^2}\cdot\sqrt{\frac{x^2y}{5y^2}}$

a)

$\sqrt{\frac{x^4\ }{5y^3}}$

b)

$x^2\ \ \sqrt{\frac{1}{5y}}$

c)

$x\ \ \ ^4\sqrt{\frac{1}{5y^2}}$

d)

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

96.

Given the figure, what is the approximate value of h?

a)

h = 8.07 feet

b)

h = 8.97 feet

c)

h = 6.65 feet

d)

h = 0.12 feet

97.

Given the figure, what is the trigonometric ratio for tan(C)? Give your answer as a REDUCED FRACTION!

a)

$\tan C=\frac{24}{18}$

b)

$\tan C=\frac{3}{5}$

c)

$\tan C=\frac{4}{3}$

d)

$\tan C=\frac{18}{30}$

98.

The figure shows an angle in standard position and the point (21,15) is on the terminal side of the angle.

What is the measure (in degrees) of the missing angle? Round to the nearest hundredth and enter your answer as numbers only.

(a)

99.

Which type of trig functions do we use to solve for missing angles?

a)

sine / cosine / tangent

b)

INVERSE trig functions

( $\sin^{-1}$ / $\cos^{-1}$ / $\tan^{-1}$ )

100.

Calculate r, the distance from the origin to the green point. Round your answer to the nearest tenth.

(a)

101.

Choose the correct values for x and y in the right triangle.

a)

$x=12$

b)

$x=12\sqrt{2}$

c)

$y\ =\ 24$

d)

$y=12\sqrt{2}$

102.

Choose the correct values for x and y in the right triangle.

a)

$x=3\sqrt{3}$

b)

$x=6$

c)

$y\ =\ 3\sqrt{3}$

d)

$y=6$

103.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

104.

Find the length of the hypotenuse.

a)

$3\cdot\sqrt[]{2}$

b)

$6\cdot\sqrt[]{2}$

c)

$6\cdot\sqrt[]{3}$

d)

6

105.

Find the value of d.

a)

8

b)

16

c)

$8\cdot\sqrt[]{2}$

d)

$4\cdot\sqrt[]{2}$

106.

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

a)

1.18

b)

0.7

c)

0.82

d)

None of the above

107.

The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?

a)

$\frac{1}{12}$

b)

$\frac{1}{6}$

c)

$\frac{1}{4}$

d)

$\frac{11}{36}$

108.

P(Sandals|Pants):

a)

4/20

b)

6/15

c)

1/2

d)

2/7

109.

P(Pizza|Senior):

a)

10/15

b)

4/5

c)

2/3

d)

10/5

110.

You pick a marble from this bag.

What is the probability you will choose either a solid black or solid white marble?

P(solid black or solid white)=

a)

3/5

b)

9/100

c)

1/10

d)

2/5

111.

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

a)

1 ⁄ 6

b)

1 ⁄ 8

c)

1 ⁄ 2

d)

1 ⁄ 12

112.

Two events are mutually exclusive if:

a)

they cannot happen at the same time

b)

they can happen at the same time

c)

they always happen

d)

they never happen

113.

Probability can be written as ...

a)

a fraction

b)

a decimal

c)

a percent

d)

all of the above

114.

Based upon the definition of independence, determine if the set of events are independent:
$P\left(A\right)=0.12\ \ \ \ \ P\left(B\right)=0.56\ \ \ \ P\left(A\cap B\right)=0.0672$

a)

Yes, they are independent

b)

No, they are not independent

115.

The image represents which of the following?

a)

intersection, "and"

b)

union, "or"

c)

intersection, "or"

d)

union, "and"

116.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

117.

if the outcome of one event has no effect on the outcome of a second event, then the two events are called ____.

a)

Probability

b)

Independent Events

c)

Dependent events

d)

Conditional probability

118.

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

a)

$\frac{1}{18}$

b)

$\frac{10}{81}$

c)

$\frac{5}{36}$

d)

$\frac{7}{9}$

119.

Anna has a bag of marbles for her little sister. It contains 12 red marbles, 6 white marbles, and 2 blue marbles. She drops the bag and three marbles roll out. What is the probability that all 3 marbles are white?

a)

$\frac{1}{120}$

b)

$\frac{1}{57}$

c)

$\frac{15}{343}$

d)

$\frac{3}{20}$

120.

The spinner below is divided into 4 equal parts. It is spun once, and the coin is flipped once. What is the probability of obtaining red on the spinner followed by heads on the coin?

a)

$\frac{1}{8}$

b)

$\frac{1}{4}$

c)

$\frac{3}{4}$

d)

$\frac{7}{8}$

Math 2 Review Extravaganza

Total questions: 120

Worksheet time: 4hrs 0mins

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