Free Printable 2022 Math 2 Final

1.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

2.

Translations, rotations, and reflections are three different types of what?

a)

Transformations

b)

Geometry

c)

Vectors

d)

Shapes

3.

How is triangle ABC being translated to triangle A'B'C'?

a)

up 3, left 8

b)

up 9, left 4

c)

down 3, right 8

d)

down 9, right 4

4.

Identify the transformation from C to D.

a)

90^o Counter Clockwise Rotation

b)

180^o Rotation

c)

270^o Counter clockwise Rotation

d)

360^o Rotation

5.

The following is a ...

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

6.

A turn is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

7.

Translate the point A (-3, 4) right 5 and up 1

a)

(-2, 9)

b)

(-8, 5)

c)

(8, 3)

d)

(2, 5)

8.

What is the name of a polynomial with only one term?

a)

monomial

b)

binomial

c)

trinomial

d)

linear

9.

What is the name of the degree of a polynomial that has an exponent of 2?
( ex. n squared or n² )

a)

constant

b)

linear

c)

quadratic

d)

cubic

10.

What is the name of the degree of a polynomial that has an exponent of 3?
( ex. t cubed or t ³ )

a)

constant

b)

linear

c)

quadratic

d)

cubic

11.

What is the value of the coefficient?
−3x+6

a)

3

b)

6

c)

−3

d)

x

12.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

13.

NUMBERS OR VARIABLES SEPARATED BY + OR - SIGNS
i.e. 5x^2 + x-2 +

a)

sentence

b)

equation

c)

term

d)

expression

14.

How many terms are in the expression
5y - 3rx + 7

a)

1

b)

2

c)

3

d)

4

15.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x3 + x

a)

1

b)

2

c)

3

d)

4

16.

How many terms are in the following polynomial?
3x³ - 2y + 8x -16

a)

1

b)

2

c)

4

d)

-16

17.

What type of polynomial is this and what is its degree?
5b³ - 3 + 6b

a)

3rd degree binomial

b)

3rd degree monomial

c)

3rd degree trinomial

d)

1st degree polynomial

18.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

19.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

20.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

21.

Factor the GCF
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

22.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

23.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

24.

Factor d² - 10d + 25

a)

(d + 5) (d - 5)

b)

(d - 15) (d + 10)

c)

(d + 5) (d - 20)

d)

(d - 5) (d - 5)

25.

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.

26.

Determine the values of
a, b, and c for
the quadratic equation:
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

27.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

28.

What are the solutions to this graph?

a)

x = -2 and x = 2

b)

x = 2 and x = 3

c)

x = -2 and x = 3

d)

x = -5 and x = 4

29.

How would you write the following roots as factors:

x = 4 and x = -2

a)

(x + 4)(x - 2)

b)

(x - 4)(x - 2)

c)

(x + 4)(x + 2)

d)

(x - 4)(x + 2)

30.

This is a quadratic graph, its 'u' shape is called...

a)

Pair - a - bowl - a

b)

Parabola

c)

Linear

d)

The u graph

31.

What is the axis of symmetry for this graph?

a)

x = -3

b)

y = -3

c)

x = -5

d)

y = -5

32.

Where is the vertex of the given parabola?

a)

x = 2

b)

(-1 , 2)

c)

(2 , -1)

d)

y = -1

33.

How can you tell whether a parabola is facing up or facing down by looking at the equation?

a)

The vertex tells you the direction of the opening

b)

The value of "a" tells you the direction of the opening.

c)

All parabolas open upward

d)

All parabolas open downward

34.

What is the y-intercept of the parabola y = 5x² - 3

a)

5

b)

3

c)

- 3

d)

-5

35.

The graph of y = x² + 1 could be?

a)

b)

c)

d)

36.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

37.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

38.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

39.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

40.

Explain the transformation of

y=(x+3)² - 1

a)

right 3 , down 1

b)

Left 3, down 1

c)

left 1, Down 3

d)

Right 1, UP 3

41.

what is 3³

a)

29

b)

32

c)

27

d)

9

42.

w⁰

a)

1

b)

0

c)

3

d)

5

43.

5^-5

a)

1/50

b)

WHO SAID THAT?

c)

1/25

d)

-125

44.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

45.

Simplify

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

46.

Simplify (2x²)³

a)

2⁶

b)

2⁵

c)

8x⁵

d)

8x⁶

e)

6x⁶

47.

3³ ⋅ 3

a)

3⁴

b)

3³

c)

9³

d)

9⁴

48.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

49.

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

a)

add

b)

subtract

c)

multiply

d)

divide

50.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

51.

$8^{13}\ \div\ 8^{11}$

a)

$8^2$

b)

$8^{24}$

c)

$8^{-2}$

d)

$8^{-24}$

52.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

53.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

54.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

55.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

56.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

57.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

58.

Find the missing angles.

a)

110

b)

40

c)

70

d)

30

59.

Find the exterior angle

a)

100

b)

55

c)

45

d)

80

60.

a)

205

b)

105

c)

230

d)

135

61.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

62.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

63.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

64.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

65.

What is the relationship between the sides in the Pythagorean Theorem shown?

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

66.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

67.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

68.

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

69.

Which Trig function do you use?

a)

Sine

b)

Cosine

c)

Tangent

70.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

71.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

72.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

73.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

74.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

75.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

76.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

77.

What is the probability of spinning red?

a)

0

b)

5/12

c)

1/2

d)

3/4

78.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

2022 Math 2 Final

Total questions: 78

Worksheet time: 3hrs 24mins

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