Free Printable Honors: Math 2 Final Exam Review

1.

Which one is the easy trick to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

2.

What is the correct ratio?

a)

sin 40 = w/28

b)

cos 40 = w/28

c)

tan 40 = w/28

d)

sin 40 = 28/w

3.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

4.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

5.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

6.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

7.

Solve for x.

a)

21.2

b)

81.7

c)

5.9

d)

5.7

8.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

9.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

10.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

11.

A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?

a)

39.6

b)

6.0

c)

14.8

d)

13.6

12.

To the nearest whole degree.

a)

66^°

b)

24^°

c)

22^°

d)

^37°

13.

A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?

a)

19.80

b)

18.71

c)

70.20

d)

71.29

14.

Solve the right triangle. Round measures of sides to the nearest hundredth and angles to the nearest degree.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

15.

Solve the right triangle.

a)

<A = 33.7^o, <C = 56.3^o, AC = 5.59

b)

<A = 56.3^o, <C = 33.7^o, AC = 5.59

c)

<A = 33.7^o, <C = 56.3^o, AC = 9.01

d)

<A = 56.3^o, <C = 33.7^o, AC = 9.01

16.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

17.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

18.

FInd tanX

a)

32/40

b)

40/24

c)

32/24

d)

24/32

19.

Find sinA

a)

32/40

b)

32/24

c)

24/40

d)

24/32

20.

Find cosC

a)

16/34

b)

16/30

c)

30/34

d)

34/16

21.

Which trig function would help you solve for the missing angle?

a)

sine

b)

cosine

c)

tangent

d)

pythagorean theorem

22.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

23.

What trigonometric ratio would be used to find the distance from the ship to the plane?

a)

sine

b)

cosine

c)

tangent

d)

inverse sine

24.

$\overline{AC}\ \parallel\ _{ }$ ____

a)

$\overline{LK}$

b)

$\overline{LJ}$

c)

$\overline{JK}$

d)

The segment is not parallel to any other segment in the diagram.

25.

$\overline{AB}\ \parallel\ _{ }$ ____

a)

$\overline{LK}$

b)

$\overline{LJ}$

c)

$\overline{JK}$

d)

The segment is not parallel to any other segment in the diagram.

26.

If AB = 22, what is YZ?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

27.

What is the value of x?

a)

17

b)

34

c)

68

d)

Impossible to determine from the information given.

28.

What is the value of x?

a)

1

b)

2

c)

4

d)

Impossible to determine from the information given.

29.

What is the value of x?

a)

3

b)

6

c)

9

d)

Impossible to determine from the information given.

30.

What is the value of x?

a)

-4

b)

10

c)

20

d)

Impossible to determine from the information given.

31.

$m\angle A\ =\ 52^o$ , what is $m\angle BXY?$

a)

52

b)

128

c)

104

d)

26

32.

Which angle is congruent to $\angle CYZ\ ?$

a)

$\angle B$

b)

$\angle A$

c)

$\angle ZYB$

d)

$\angle AXZ$

33.

Which is true about any midsegment in a triangle?

(Select all that apply).

a)

The midsegment is parallel to its corresponding side.

b)

The midsegment is perpendicular to its corresponding side.

c)

The midsegment is half as long as its corresponding side.

d)

The midsegment connects the midpoints of two sides of a triangle.

e)

The midsegment is twice as long as its corresponding side.

34.

Find the missing value of x.

HINT!!! (THE LENGTH OF THE PARALLLEL SIDE)=2(MIDSEGMENT)

a)

x = 8

b)

x = 11

c)

x = 7

d)

x = 9

35.

UV is a midsegment of triangle FGH. What is the length of segment UV?

a)

12

b)

10

c)

5

d)

-12

36.

Solve for the value of x.

a)

8

b)

24

c)

6

d)

10

37.

$f\left(x\right)$

is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

38.

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

a)

$\left(-1,5\right)$

b)

$\left(1,5\right)$

c)

$\left(5,1\right)$

d)

$\left(5,-1\right)$

39.

Translate the coordinate pair into function notation.

\left(0,8\right)

a)

$f\left(0\right)=8$

b)

$f\left(0\right)=-8$

c)

$f\left(8\right)=0$

d)

$f\left(-8\right)=0$

40.

Given
$g\left(x\right)=4x-2$

Evaluate:

g\left(-7\right)

a)

$g\left(-7\right)=-30$

b)

$g\left(-7\right)=-26$

c)

$g\left(-7\right)=-36$

d)

$g\left(-7\right)=26$

41.

Given the graph,

find:

f\left(2\right)

a)

$f\left(2\right)=5$

b)

$f\left(2\right)=4$

c)

$f\left(2\right)=3$

d)

$f\left(2\right)=0$

42.

Given the graph,

find:

f\left(4\right)

a)

$f\left(4\right)=3$

b)

$f\left(4\right)=1$

c)

$f\left(4\right)=2$

d)

$f\left(4\right)=0$

43.

Given the graph,

find:

f\left(7\right)

a)

$f\left(7\right)=3$

b)

$f\left(7\right)=1$

c)

$f\left(7\right)=2$

d)

$f\left(7\right)=0$

44.

f(x) = x² + 7
x(2) = ______

a)

10

b)

11

c)

13

d)

12

45.

a)

16

b)

48

c)

-28

d)

4

46.

a)

-20

b)

20

c)

-24

d)

24

47.

a)

1

b)

-1

c)

19

d)

-19

48.

If f(x) = x²+ 3, evaluate f(-2)

a)

-1

b)

1

c)

7

d)

-7

49.

$If\ h\left(x\right)\ =\ x^2-5x\ +\ 8\ ,\ \ \ Evaluate\ h\left(-6\right)$

a)

h(-6) = 2

b)

h(-6) = 36

c)

h(-6) = 74

d)

h(-6) = 14

50.

When f(x) = x²+ 9 and g(x) = x - 9,

find f(x) - g(x).

a)

x²+ x + 9

b)

x²- x + 9

c)

x²- x

d)

x²- x + 18

51.

When f(x) = 9 - 3x and g(x) = 5x - 7

find f(x) + g(x).

a)

14x - 10

b)

-8x + 2

c)

2x + 2

d)

2x - 2

52.

Which theorem proves these two triangles are similar?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

53.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

54.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

55.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

56.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

57.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

58.

Which theorem proves these triangles are congruent?

a)

ASA

b)

SAS

c)

SSS

d)

AAS

e)

HL

59.

Find the measure of the indicated angle.

a)

95

b)

85

c)

35

d)

45

60.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

61.

Find the measure of angle x.

a)

138

b)

96

c)

93

d)

87

62.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

63.

Solve for x.

a)

8

b)

9

c)

13

d)

15

64.

Solve for x.

a)

8

b)

13

c)

15

d)

16

65.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

68.

Which of the following angles can you add together to equal angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

69.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

70.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

71.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

72.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

73.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

74.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

75.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

76.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

77.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

78.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

79.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

80.

$b^2-4ac$ is called the . . .

a)

Square root

b)

Quadratic formula

c)

X-intercepts

d)

Discriminant

81.

If there are no real solutions, the discriminant is

a)

zero

b)

a postive number

c)

a negative number

d)

a perfect square

82.

If there is one solution, the discriminant is . . .

a)

zero

b)

a postive number

c)

a negative number

d)

a perfect square

83.

What is the discriminant of $x^2+3x-4=0$

a)

25

b)

0

c)

-25

d)

-13

84.

Why are quadratic equations set equal to zero?

a)

Because zero is an easy number to work with.

b)

Because we are trying to find the x-intercepts and that happens when y=0.

c)

Because setting it equal to zero helps us find the y-intercepts.

d)

None of the above

85.

What is this formula?

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.

86.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

87.

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

88.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

91.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

92.

$2x^2=8x+3$

2x^2-8x-3=0

x=\frac{8\pm\sqrt{64-4\left(2\right)\left(-3\right)}}{4}

x=\frac{8\pm\sqrt{40}}{4}

x=\frac{8\pm2\sqrt{10}}{4}

x=\frac{4\pm\sqrt{10}}{2}

Suzanne solved the equation using this process.

Did she make a mistake?

If yes, at which line did she make her first mistake?

(There are 5 steps in her process)

a)

Suzanne made no errors.

b)

Step 2

c)

Step 3

d)

Step 4

e)

Step 5

93.

"What is the maximum height the ball reaches?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

94.

"When does the ball hit the ground?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

95.

Identify each variable & answer...

Layla throws a ball upwards so it goes 15ft per second. It leaves her hand 5ft above the ground. How long will it take for the ball to hit the ground?

a)

1.2 seconds

b)

15.73 seconds

c)

0.26 seconds

d)

14.27 seconds

96.

Identify each variable & answer...

A rocket is launched from a 20ft tall stand going 210 ft per second. How long will it take for the rocket to hit the ground?

a)

13.22 seconds

b)

6.56 seconds

c)

11.39 seconds

d)

18.15 seconds

97.

Identify each variable & answer...

Ben throws a ball upwards so it goes 35ft per second. It leaves his hand 6ft above the ground. How high is it above the ground after 1 second has passed?

a)

it's 25ft above the ground

b)

it's 16.5ft above the ground

c)

it's 2.2 ft above the ground

d)

it's 25.14ft above the ground

98.

Identify each variable & answer...

A rocket is launched going 350ft per second from a 40ft tall base. How much TIME goes by when it reaches the maximum height?

a)

about 10.9 seconds

b)

about 14.6 seconds

c)

about 12.2 seconds

d)

about 8.3 seconds

99.

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

a)

95 feet

b)

45 feet

c)

70 feet

d)

171.56 feet

100.

Henry launched a model rocket from the ground with an initial speed of 88 feet per second. When will the rocket be 40 feet high?

a)

0.5 sec, 5 seconds

b)

0.5 seconds

c)

5 seconds

d)

never

101.

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t²+ 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

a)

-16 seconds

b)

-6 seconds

c)

0 seconds

d)

5 seconds

102.

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

a)

95 feet

b)

45 feet

c)

70 feet

d)

171.56 feet

103.

The quadratic function shown below is used to model vertical motion.
$h\left(t\right)=-16t^2+v_ot+h_o$

If a soccer ball is kicked from ground level with an initial velocity of 64 feet per second, how high will it go?

a)

100 feet

b)

64 feet

c)

140 feet

d)

88 feet

104.

"How high is the ball after 20 seconds?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

105.

"How high off the ground was the stone when it started?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

106.

"How long is the object in the air?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

107.

"Bill throws a rock off of a cliff. How high is the cliff from where he first throws the rock?"

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

108.

"Johnny catapults a pumpkin in the middle of his corn field. He wants to know how long it will take to reach it's maximum height."

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

109.

"Tim hits a tennis ball up into the air. He wants to figure out how high the tennis ball will be after 7 seconds."

a)

vertex

b)

x-intercept

c)

y-intercept

d)

point on the graph

110.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

111.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

112.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

113.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

114.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

115.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

116.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

117.

Factor
2x² - 13x - 70

a)

(2x-7)(x+10)

b)

(7x+5)(x+2)

c)

(2x+7)(x-10)

d)

2(x+7)(x+10)

118.

Factor the Polynomial

12x³- 9x² + 4x - 3

a)

(3x² + 1) (4x - 3)

b)

(3x² - 1) (4x + 3)

c)

(4x² + 1) (3x - 3)

d)

(4x² - 1) (3x + 3)

119.

Factor the Polynomial

2x³+ 5x² + 6x + 15

a)

(x² + 3) (2x + 5)

b)

(x² - 3) (2x - 5)

c)

(2x² - 3) (x - 5)

d)

(2x² + 3) (x + 5)

120.

Factor the Polynomial

5x³- 10x² + 3x - 6

a)

(5x² + 3) (x - 2)

b)

(5x² - 3) (x + 2)

c)

(x² + 3) (5x - 2)

d)

(x² - 3) (5x + 2)

121.

Factor the Polynomial

8x³- 64x² + x - 8

a)

(8x² + 1) (x - 8)

b)

(8x² - 1) (x + 8)

c)

(x² + 1) (8x - 8)

d)

(x² - 1) (8x + 8)

122.

Factor the Polynomial

63x³+ 54x² - 105x - 90

a)

3(3x² - 5) (7x + 6)

b)

3(3x² + 5) (7x - 6)

c)

5(3x² - 5) (7x + 6)

d)

5(3x² + 5) (7x - 6)

123.

Factor the Polynomial

96x³- 84x² + 112x - 98

a)

2(6x² + 7) (8x - 7)

b)

2(6x² - 7) (8x + 7)

c)

4(6x² + 7) (8x - 7)

d)

4(6x² - 7) (8x + 7)

124.

Factor the Polynomial

5x² + 45x

a)

5x (x + 9)

b)

x (5x + 9)

c)

x (5x + 45)

d)

9x (x + 5)

125.

Factor the Polynomial

16x² + 48x

a)

16x (x + 3)

b)

8x (2x + 6)

c)

4x (4x + 12)

d)

2x (8x + 24)

126.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

-f(x)

b)

f(-x)

c)

f^-1(x)

d)

f(2x)

127.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

128.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units

reflection in x-axis

b)

shifted down five units

reflection in x-axis

c)

shifted left 5 units

reflection x-axis

d)

shifted right 5 units

reflection x-axis

129.

Identify the transformations.

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

130.

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

a)

Vertical Shrink of ⅔
Right 7

b)

Horizontal Shrink of ⅔
Left 7

c)

Left ⅔
Vertical stretch of 7

d)

Right ⅔
Horizontal stretch of 7

131.

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

a)

Reflect over y-axis
Left 3

b)

Reflect over y-axis
Right 3

c)

Reflect over x-axis
Left 3

d)

Reflect over x-axis
Right 3

132.

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

a)

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

b)

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

c)

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

d)

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

133.

f(x) = 1/3x² + 2

a)

Stretch of 1/3

Up 2

b)

Shrink of 1/3

Up 2

c)

Stretch of 1/3

Down 2

d)

Shrink of 1/3

Down 2

134.

Which equation describes the transformation of shifting f(x)=x³ seven units up?

a)

x³+7

b)

x³-7

c)

(x-7)³

d)

(x+7)³

135.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

136.

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

a)

Vertical Compression by a factor of 1/2

b)

Vertical Stretch by a factor of 1/2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

137.

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

a)

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

b)

Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

c)

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

d)

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

138.

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

a)

Vertical stretch by a factor of 5

b)

Vertical compress by a factor of 5

c)

Reflect over x-axis

d)

Vertical shift up 5 units

139.

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

a)

Reflection, then Translation

b)

Translation, then Rotation

c)

Reflection, then Rotation

d)

Rotation, then Translation

140.

Determine the image of C after it's first translated by the rule

(x, y) → (x − 2, y + 5)

and is then reflected over the y-axis.

a)

(-1, 4)

b)

(1, 4)

c)

(6, -3)

d)

(-3, 6)

141.

Determine the image of C after it's first translated by the rule

(x, y) → (x − 3, y + 3)

and is then reflected over the y-axis.

a)

(-2, 2)

b)

(2, 2)

c)

(4, -4)

d)

(-4, 4)

142.

What is the image of point E after a dilation with a scale factor of 1/3 ?

a)

(5, 7)

b)

(-3, 3)

c)

(1, 1)

d)

(1/9, 1/9)

143.

Determine the image of B after it's first dilated by a scale factor of 1/2 and then translated by the rule

(x, y) → (x + 3, y − 1)

a)

(5, -2)

b)

(7, -3)

c)

(2, -1)

d)

(2, 1)

144.

(-3, -1) -- Reflect across the line y=x and translate down 1.

a)

(-1, -4)

b)

(-1, -2)

c)

(3, 0)

d)

(-2, -3)

145.

Describe the transformations that map ABC onto A"B"C"

a)

translate 5 up and 1 left then reflect over y

b)

translate 5 down and 1 left, then reflect over y

c)

reflect over y=x then translate left 8

d)

reflect over x then rotate 90 clockwise

146.

If you have the pre-image point A(-4, 1), what is the coordinates of point A'' after the composite transformation rotation 90 ccw about origin, then reflection over line y= -x?

a)

A''(-1, -4)

b)

A''(-4, -1)

c)

A''(1, 4)

d)

A''(4, 1)

147.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

148.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

149.

Simplify:
√96

a)

16√6

b)

6√16

c)

9√6

d)

4√6

150.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

151.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

152.

√243

a)

3√3

b)

9√3

c)

81√3

d)

3√81

153.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

154.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

155.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

156.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

157.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

158.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

159.

Simplify:

$-3\sqrt[]{25}$

(a)

160.

Simplify: $2\sqrt[]{16}$

(a)

161.

Find ALL solutions to the system of non-linear equations:

*Use the "equal values method"*

y=x^2+6x-9

y=6x

a)

$\left(3,18\right)\&\left(-3,-18\right)$

b)

$\left(3,18\right)$

c)

$\left(-3,-18\right)$

d)

No Solutions

162.

Find ALL solutions to the system of non-linear equations:

*Use the "equal values method"*

$y=-2x-5$
$y=x^2+2x+5$

a)

No Solutions

b)

$\left(1,-7\right)$

c)

$\left(2,-9\right)$

d)

$\left(1,-7\right)\&\left(2,-9\right)$

163.

Find ALL solutions to the system of non-linear equations:

*Use the "substitution" method*

$x^2+y=125$
$y=4x^2$

a)

$\left(5,100\right)\&\left(-5,100\right)$

b)

$\left(5,100\right)$

c)

$\left(-5,100\right)$

d)

No Solutions

164.

Find ALL solutions to the system of non-linear equations:

*Use the "elimination-multiplication" method*

$x^2+3y^2=28$

x^2-y^2=12

a)

$\left(4,\pm2\right)\&\left(-4,\pm2\right)$

b)

$\left(4,\pm2\right)$

c)

$\left(-4,\pm2\right)$

d)

No Solutiions

165.

Find ALL solutions to the system of non-linear equations:

*Use the "elimination-multiplication" method*

$5x^2-2y^2=27$

4x^2-y^2=51

a)

$\left(5,\pm7\right)\&\left(-5,\pm7\right)$

b)

$\left(-5,\pm7\right)$

c)

$\left(5,\pm7\right)$

d)

No Solutions

166.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

167.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

168.

Find the solution.

a)

(56,7) and (25,1)

b)

(35,2) and (-12, 15)

c)

(15,89) and (2,-2)

d)

(30,4) and (-45, 5)

169.

y²= x + 4

x² + y²= 4

a)

(0, 2), (0, -2)

b)

(-1, √3), (-1, -√3)

c)

(0, 2), (0, -2),

(-1, √3), (-1, -√3)

d)

(2, 0), (0, -2),

(√3, 1),(√3, -1)

170.

Solve each system algebraically.

12x+y=0

y-x^2=11

a)

$\left(11,\ -132\right)\ \left(1,\ -12\right)$

b)

$\left(-11,\ -132\right)\ \left(-1,\ -12\right)$

c)

$\left(11,\ 132\right)\ \left(1,\ 12\right)$

d)

$\left(-11,\ 132\right)\ \left(-1,\ 12\right)$

Honors: Math 2 Final Exam Review

Total questions: 170

Worksheet time: 8hrs 37mins

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