Free Printable Final Exam REVIEW

1.

Which of the following are integers? Select all that apply.

a)

8

b)

-3

c)

-8

d)

$\frac{4}{10}$

2.

Is 2 a natural number?

a)

True

b)

False

3.

Which of the following is a whole number?

a)

-2

b)

-10

c)

10

d)

-1

4.

Which of the following are rational numbers? Select all that apply.

a)

64

b)

15

c)

$\frac{7}{4}$

d)

7.452

5.

Is $74.\overline{8}$ a natural number?

a)

Yes

b)

No

6.

Which of the following describe ^–77?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

7.

Which of the following describe 91?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

8.

Which of the following describe $\sqrt[]{23}$ ?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

9.

Which of the following describe $\frac{0}{3}$ ?

Select all that apply.

a)

irrational number

b)

rational number

c)

natural number

d)

whole number

e)

integer

10.

5+1 = 1+5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Inverse Property of Addition

d)

Distributive Property

11.

(5•2) • 4 = 5 • (2•4)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Transitive Property

d)

Symmetric Property

12.

9 + 0 = 9

a)

Reflexive Property

b)

Distributive Property

c)

Identity Property of Addition

d)

Inverse Property of Addition

13.

$\pi$ • 0 = 0

a)

Property of Zero

b)

Distributive Property

c)

Reflexive Property

d)

Symmetric Property

14.

-3(a+c) = -3a-3c

a)

Transitive Property

b)

Distributive Property

c)

Symmetric Property

d)

Commutative Property of Multiplication

15.

(x + y) • 0 = 0

a)

Substitution Property

b)

Distributive Property

c)

Zero Property

d)

Inverse Property of Multiplication

16.

3m(m + 4n - 6g) = 3m² + 12mn - 18mg

a)

Transitive Property

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Distributive Property

17.

Identify this property.

$\frac{2}{3}\ +\ \left(-\frac{2}{3}\right)=0$

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

18.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

19.

What is the ADDITIVE INVERSE of
-7

a)

-7

b)

^-1/₇

c)

¹/₇

d)

7

20.

What is the MULTIPLICATIVE INVERSE of
8

a)

-8

b)

^-1/₈

c)

¹/₈

d)

1

21.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

22.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

23.

Which equation has a solution of 24? (a)

Choose from the below words

-48 + 12 + x = -12

-14 + 12 + x = -12

-31x - 41x = -48

-46x + 48x = 12

24.

2x + 3(5x - 7) = 47

25.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

26.

Solve: 2(4x-3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

27.

Solve the equation, if possible.
$2a-6\left(a-4\right)=\ -4$

a)

7

b)

identity

c)

0

d)

-5

28.

Classify the polynomial below by degree

$5x^3-4x^2+2x-8$

a)

cubic

b)

quadratic

c)

quartic

d)

linear

29.

Classify the polynomial below by terms

$6x-2$

a)

linear

b)

quadratic

c)

binomial

d)

trinomial

30.

Classify the polynomial below by degree and terms

$x^2-4x-1$

a)

quadratic, trinomial

b)

linear, trinomial

c)

quartic, binomial

d)

cubic, trinomial

31.

Classify the polynomial by degree

$5x-1$

a)

quadratic

b)

linear

c)

binomial

d)

constant

32.

Classify the polynomial by degree and terms

6

a)

constant, monomial

b)

linear, monomial

c)

quadratic, binomial

d)

Can't be classified

33.

Put the polynomial in standard form

$6x\ -\ 4x^2+2\ -\ 5x^3$

a)

$-5x^3-4x^2+6x+2$

b)

$-4x^2+6x-5x^3+2$

c)

$-5x^3-6x+4x^2+2$

d)

it is in standard form

34.

What is the constant in

$7y^4-5x^3+9y^2-8x+4$

a)

7

b)

-5

c)

-8

d)

4

35.

Which polynomial is a quadratic binomial?

a)

$9m^2-3$

b)

7x+2

c)

$2x^3-5$

d)

$y^2+4x-1$

36.

What is the name of a polynomial with three terms?

a)

monomial

b)

binomial

c)

trinomial

d)

cubic

37.

When you combine like terms, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

38.

When you multiply polynomials, what do you do with the exponents?

a)

Add them

b)

Multiply them

c)

Nothing

39.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

40.

Which expression is equivalent to

(2x² + 5x - 7) + ( 3 - 4x² + 6x)?

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x²+ 5x -7

d)

-2x² + 11x -4

41.

Which expression is equivalent to

(7p + 4p³ - 8) - (-3p²+ 2 - 9p)?

a)

-3p²+ 4p³ -15 + 9

b)

3p³ + 4p² - p + 3

c)

4p³ -3p² +16p -10

d)

4p³ +3p² + 16p + 10

42.

Which expression is equivalent to

(3x - 5) ( 4x² - 2x - 3)?

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

43.

Which expression is equivalent to (2x+6)(2x-6)?

a)

4x²+24x-36

b)

6x+12

c)

4x²-36

d)

2x+6+2x-6

44.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

45.

Find the product:
$\left(x+1\right)\left(x^2-4x-21\right)$

a)

$x^3-3x^2-25x-21$

b)

$x^3+3x^2+25x+21$

c)

$-x^3-3x^2-25x-21$

d)

$x^4-3x^3-25x^2-21x$

46.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

47.

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

a)

4x⁴- 9x³- 10x²- 24

b)

4x⁴- 9x³ - 10x²- 2x - 24

c)

4x⁴ - 9x³ - 10x² + 2x - 24

d)

-4x⁴ - 9x³ - 10x² - 24

48.

Simplify. $x^9\cdot x^{-7}$

a)

$x^{-63}$

b)

$x^{-16}$

c)

$x^2$

d)

$x^{-2}$

49.

Simplify, $\left(4x^4y^{-4}\right)^3$

a)

$4x^7y^{-1}$

b)

$\frac{4x^{12}}{y^{12}}$

c)

$\frac{x^{12}}{64y^{12}}$

d)

$\frac{64x^{12}}{y^{12}}$

50.

Simplify the following:

$\frac{10x^{15}}{2x^3}$

a)

$5x^{12}$

b)

$5x^5$

c)

$5x^{18}$

d)

$8x^{12}$

51.

Simplify the following:

$(2x^4y^7)^3$

a)

$6x^7y^{10}$

b)

$6xy^{32}$

c)

$8x^{12}y^{21}$

d)

$8x^7y^{10}$

52.

Simplify the following:

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

a)

$x^4$

b)

$x^{20}$

c)

$x^8$

d)

$x^{10}$

53.

a)

b)

c)

d)

54.

a)

b)

c)

d)

55.

Evaluate.

a)

0

b)

1

c)

7

d)

70

56.

Simplify. Write your answer using only positive exponents.
$\frac{4r^3}{2r^5}$

a)

$\frac{2}{r^2}$

b)

$2r^{-2}$

c)

$\frac{4}{2r^2}$

d)

$\frac{2r^2}{r}$

57.

Simplify (8x³y^-6)² (4x^-2y⁸)

a)

12x⁷y⁴⁴

b)

256x⁴/y⁴

c)

64x⁴/y⁴

d)

20x⁷y⁴⁴

58.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

59.

Evaluate the expression using the Same Base, Division rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

60.

((-2r)³)²

a)

(-2r)⁵

b)

-2r⁶

c)

4r³

d)

64r⁶

61.

a)

b)

c)

d)

62.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

63.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

64.

Determine the y-intercept for the following equation
4x + 2y = -12

a)

4

b)

-6

c)

-12

d)

2

65.

find the slope

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

66.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

67.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

68.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

69.

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

a)

(2, 0)

b)

(-1, 2)

c)

(0, 4)

d)

(0, -4)

70.

Graph:
y≤-2x+5
y>2x+7
Which of the following is NOT a solution?

a)

(-4, 2)

b)

(-10, 7)

c)

(-3, 0)

d)

(-2, 6)

71.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

72.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

73.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

74.

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

a)

sine

b)

cosine

c)

tangent

75.

a)

A

b)

B

c)

C

d)

D

76.

Find the length of side x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

77.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

78.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

79.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

80.

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

81.

Solve for x. Round to the nearest tenth.

82.

Solve for x. Round to the nearest tenth.

83.

Find the measure of the missing angle. Round to the nearest degree. (a)

Choose from the below words

49 degrees

50 degrees

41 degrees

33 degrees

84.

Find the measure of the missing angle. (a)

Choose from the below words

26 degrees

64 degrees

61 degrees

.008 degrees

85.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

86.

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

87.

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)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

88.

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

89.

A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?

a)

4289 ft

b)

932.6 ft

c)

845.2 ft

d)

4732.4 ft

90.

Jake built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.

a)

19 degrees

b)

20 degrees

c)

28 degrees

d)

35 degrees

91.

What does the word bisect mean?

a)

to double in size

b)

to cut in half and make 2 equal pieces

c)

to cut an insect

92.

When copying line segment AB using a straight edge and a compass, the compass should be used to:

a)

Draw an arc above point A

b)

Measure the length of segment AB

c)

Draw an arc between point A and point B

d)

Measure half the length of line segment AB

93.

Name the construction.

a)

Angle bisector

b)

Perpendicular line to a point not on a line

c)

Angle median

d)

Perpendicular bisector of a line segment

94.

What is this?

a)

Compass

b)

Circle creator

c)

Pencil swingy-thing

d)

Arc maker

95.

What is being constructed?

a)

A congruent segment

b)

Parallel Lines

c)

Perpendicular Bisector

d)

Angle Bisector

96.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

97.

The given diagram is what kind of construction?

a)

Perpendicular bisector

b)

Congruent angles

c)

Angle bisector

d)

Congruent line segments

98.

Cash constructed a segment bisector as shown. What is true about the segment bisector? Select all that apply.

a)

It is perpendicular to segment AB

b)

It divides segment AB into two congruent segments

c)

It is exactly the same length as segment AB

d)

It intersects segment AB at the midpoint

99.

Take a guess! Which one is the correct construction for a perpendicular bisector?

a)

1

b)

2

c)

3

d)

4

100.

The following picture shows steps to which construction?

a)

inscribed equilateral triangle

b)

circumscribed triangle

c)

inscribed regular hexagon

d)

inscribed hexagon

Final Exam REVIEW

Total questions: 100

Worksheet time: 5hrs 10mins

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