Free Printable Review for Math 2 Final Exam

1.

How would you describe this tranformation?

a)

rotation of 90 degrees

b)

reflection across x-axis

c)

reflection across y-axis

d)

translation right 6

2.

Translation, Reflection and Rotation are all ______ tranformations.

a)

Rigid

b)

Non-Rigid

3.

Two figures that have the same shape and size are called ______________.

a)

congruent

b)

obtuse

c)

linear

d)

acute

4.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

5.

The red triangle represents what type of rotation:

a)

180° Clockwise

b)

90° Counter Clockwise

c)

90° Clockwise

d)

270° Counter Clockwise

6.

What series of transformations occurred to the pentagon?

a)

It translated to the right 2 and down 3, then it reflected over the y-axis.

b)

It reflected over the x-axis, then translated left 2 and up 3.

c)

It rotated 90° counter-clockwise about the origin, then reflected over the y-axis.

d)

It reflected over the y-axis, then translated right 4 and up 3.

7.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y-9)

8.

SELECT ALL the transformations that result in Congruent Figures!

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

9.

A transformation that creates an image that is congruent to its preimage is called a _____.

a)

rigid transformation

b)

non-rigid transformation

c)

dilation

d)

mapping

10.

A(n) ___ changes the size of a figure but not its location or orientation.

a)

rigid transformation

b)

isometry

c)

non-rigid transformation

d)

reflection

11.

A(n) ____ is a figure before a transformation has taken place.

a)

pre-image

b)

image

c)

isometry

d)

mapping

12.

The result of a transformation is called a(n) _____.

a)

pre-image

b)

image

c)

isometry

d)

mapping

13.

Which is NOT a shortcut to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

14.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

15.

What shortcut would you use to prove the triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

16.

What shortcut would you use to prove the triangles congruent?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

17.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

18.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

19.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

Not similar

20.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

21.

a)

7

b)

12

c)

6

d)

4

22.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

a)

congruent, proportional

b)

proportional, congruent

c)

congruent, congruent

d)

proportional, proportional

23.

Find missing side

a)

5

b)

7

c)

9

d)

11

24.

Name the angle pair ∠12 and ∠16.

a)

corresponding angles

b)

alternate interior angles

c)

alternate exterior angles

d)

consecutive interior angles (same side interior)

25.

a)

∠B=82°

b)

∠B=98°

c)

∠B=180°

d)

∠B=8°

26.

What is the value of x?

a)

16

b)

11.4

c)

0

d)

-16

27.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

28.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

29.

Solve for x.

a)

1

b)

2

c)

3

d)

4

30.

How many roots does this parabola have?

a)

3

b)

2

c)

0

d)

1

31.

Which word is NOT a synonym for x-intercept?

a)

zero

b)

y-intercept

c)

solution

d)

root

32.

What is the axis of symmetry?

a)

x=-1

b)

x=-2

c)

y=-1

d)

y=-2

33.

If a parabola has a vertex at (0, 3), what is the axis of symmetry.

a)

y = 3

b)

x = -3

c)

y = 0

d)

x = 0

34.

Which statement is TRUE?

a)

This function has a Maximum

b)

This function has a Minimum

c)

This is a constant function

35.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

36.

Which best describes the vertex of a parabola?

a)

Any point on the parabola.

b)

A point on the x-axis.

c)

The highest or lowest point of a parabola

d)

A point on the y-axis.

37.

Identify a root

a)

(-1,9)

b)

(0,-8)

c)

(-4,0)

d)

(0,0)

38.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

39.

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

a)

Stretch of 5
Up 2

b)

Shrink of 5
Up 2

c)

Stretch of 5
Down 2

d)

Shrink of 5
Down 2

40.

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

41.

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

a)

(-2, 5)

b)

(-6, 5)

c)

(-4, 3)

d)

(-4, 7)

42.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

43.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Horizontal right 5, vertical down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch of 2, and horizontal right 5

c)

Reflected over the x-axis, vertical stretch of -2, and horizontal left 5

d)

Horizontal right 5, Vertical down 2

44.

What is the equation of this graph?

a)

f(x) = (x + 2)² - 3

b)

f(x) = (x - 2)² - 3

c)

f(x) = |x + 2| - 3

d)

f(x) = |x - 2| - 3

45.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

46.

a)

Function

b)

Not a Function

47.

a)

Function

b)

Not a Function

48.

Which relation is NOT a function?

a)

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

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

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

d)

{(3,-2), (5,-6), (7,7), (8,8)}

49.

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

Find f(-3)

a)

-15

b)

15

c)

21

d)

-4

50.

Given the graph of g(x), evaluate g(2).

a)

-2

b)

0

c)

2

d)

Cannot be determined from the graph

51.

Given the function g(x)= x² - 5, find g(4)

a)

-11

b)

10

c)

11

d)

1

52.

Which graph represents a function?

a)

A

b)

B

c)

C

d)

D

53.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

54.

a)

(6v)³

b)

6v^3/2

c)

(6v)^3/2

d)

(6v)^2/3

55.

Write the expression in radical form.

y^1/2

a)

√y

b)

∛y

c)

√y²

d)

∛y²

56.

Write using a radical: $x^{\frac{13}{7}}$

a)

$\sqrt[7]{x^{13}}$

b)

$\sqrt[13]{x^7}$

c)

$\sqrt[]{x^{\frac{7}{13}}}$

d)

$x^6$

57.

Simplify √40

a)

4√10

b)

10√4

c)

2√10

d)

10√2

58.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

59.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

60.

$4\sqrt{6}\cdot\sqrt{3}$

a)

$4\sqrt{9}$

b)

$\sqrt{72}$

c)

$4\sqrt{18}$

d)

$12\sqrt{3}$

61.

$-3\sqrt[]{5}\cdot\ -5\sqrt[]{10}$

a)

$5\sqrt[]{2}$

b)

$\sqrt[]{15}$

c)

$75\sqrt[]{2}$

d)

$50$

62.

What is an equation of a parabola with the vertex of $\left(3,-4\right)$ ?

a)

$y=-\frac{1}{2}\left(x+3\right)^2-4$

b)

$y=2\left(x-3\right)^2+4$

c)

$y=\frac{3}{2}\left(x-3\right)^2-4$

d)

$y=\left(x+3\right)^2+4$

63.

What is an equation of a quadratic with zeros at $x=4$ and $x=-5$

a)

$y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$

b)

$y=4\left(x+4\right)\left(x+5\right)$

c)

$y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$

d)

$y=3\left(x-4\right)\left(x-5\right)$

64.

In which form is this equation? $y=(x-3)^2+4$

a)

Standard

b)

Factored

c)

Vertex

d)

Parabolic

65.

What's the y-intercept? $y=2x^2+6x+7$

a)

(0, -7)

b)

(7, 0)

c)

(0, 7)

d)

(-7, 0)

66.

In which form is this equation? $y=(x-3)(x+8)$

a)

Standard

b)

Factored

c)

Vertex

d)

Parabolic

67.

What is the vertex of
$f(x)=2(x-5)^2+12$

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

68.

Which of the following correctly shows the vertex of this graph

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

69.

Convert to Vertex Form:

f(x) = x² +8x +14

a)

f(x) = (x - 4)² + 2

b)

f(x) = (x - 4)² - 2

c)

f(x) = (x + 4)² + 2

d)

f(x) = (x + 4)² - 2

70.

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)

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

71.

Convert to Factored Form

x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

72.

Convert to Factored Form:

3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

73.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

74.

Convert x²-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

(x+3)(x+3); x=-3

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

75.

Find the expression equivalent to (x-1)(x-9)

a)

x²+9

b)

x²-10x+9

c)

x²-10x-9

d)

x²+10x+9

76.

Identify the a, b and c values for this equation:
3x² - 8x + 15 = 0

a)

a=3, b=8, c=0

b)

a=3, b=-8, c=15

c)

a=3, b=8, c=15

77.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

78.

a)

direct variation

b)

inverse variation

c)

neither direct nor inverse variation

79.

The equation
xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

80.

Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.

a)

1.5

b)

337.5

c)

30

d)

16.875

81.

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

a)

300

b)

75

c)

1,875

d)

12

82.

What is the ratio for Sine?

a)

Opposite Leg / Adjacent Leg

b)

Opposite Leg / Hypotenuse

c)

Adjacent Leg / Hypotenuse

d)

Adjacent Leg / Opposite Leg

83.

What is the ratio for Tangent?

a)

Adjacent Leg / Opposite Leg

b)

Adjacent Leg / Hypotenuse

c)

Opposite Leg / Hypotenuse

d)

Opposite Leg / Adjacent Leg

84.

Solve for DE

a)

36.5

b)

18.8

c)

8.5

d)

7.9

85.

Find m∠N

a)

14

b)

65

c)

76

d)

53

86.

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

87.

What is the side across from the right angle called?

a)

Leg

b)

Pythagoras

c)

Hypotenuse

d)

Altitude

88.

Which trig function would you use with this diagram?

a)

^Sin

b)

^Cos

c)

^Tan

d)

^Wha??

89.

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

90.

What is the probability of spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

91.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

4/13

d)

26/52

92.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

93.

find the probability of choosing a student at random that plays an instrument OR a sport

a)

1/2

b)

13/20

c)

21/20

d)

4/5

94.

Find the theoretical probability of NOT landing on yellow if you spin the spinner.

a)

$\frac{1}{8}$

b)

$\frac{7}{8}$

c)

1

d)

7

95.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

12.5 %

b)

8%

c)

80%

d)

32%

96.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

97.

Calculate (multiply):
(1 − 2i)(6 + 5i)

a)

16 − 7i

b)

-16 + 7i

c)

-16 − 7i

d)

16 + 7i

98.

a)

√2

b)

i√2

c)

i²√2

d)

-√2

99.

Which quadratic has COMPLEX roots?

a)

b)

c)

d)

100.

Simplify $\sqrt{-20}$

a)

$2i\sqrt{5}$

b)

$-2i\sqrt{5}$

c)

$20i$

d)

$-20i$

101.

What is $i^{79}$ ?

a)

i

b)

1

c)

-1

d)

-i

102.

You are playing a basketball board game. You determine the results of a play by drawing a card from a stack. The theoretical probability of drawing a "three-pointer" is $\frac{3}{7}$ and there are 70 cards in the stack. How many of the cards represent three-pointers?

a)

30

b)

3

c)

9

d)

16

Review for Math 2 Final Exam

Total questions: 102

Worksheet time: 3hrs 23mins

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