# Morgan Hill Unified School District Final Exam Study Guide

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```					                        Morgan Hill Unified School District
Final Exam Study Guide: PRE-ALGEBRA

 Name the property that justifies the equality.
1)

Commutative Property of Multiplication

2)
Associative Property of Multiplication

3)
Distributive Property

Inverse Property of Multiplication      4)

Identity Property of Multiplication

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 Integers & Absolute Values:  Simplify each expression

Examples:                                   Practice:
73)                    74)
7 − 22
=  −  5
1
= 15                                                    75)                     76)

 Unit Rates:  Find the unit rate.

Example:  Which size has the lower price?

Family Size:                   Practice:

77).   4 liters of water costs \$4.98

Economy Size:                  78).   Car travels 375 miles on 12 gallons of gas.

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 Pythagorean Theorem: Find the measure of the missing side.

Use the Pythagorean Theorem.

(6 ft.)2+(8 ft)2 =                                     Replace a with 6 and b with 8.

36 ft2+ 64 ft2 =                                      Simplify.

100 ft2   =

Find the square root of each side.

10 ft =                                 The length of the hypotenuse is 10 feet.

Use the Pythagorean Theorem.

Replace a with x, b with 12 yd, and c with 14 yd.

Simplify.
Subtract 144 yd2 from each side.

Find the square root of each side.

The value of x is about 7.2 yd.

79)                                                              80)

81)   60      82)                    83)
84)                     85)

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86)                                                                    87)

   Using Properties of Equality to Solve Proportions

For most people, the ratio of the length of their head to their total height is 1:7. If a person is
56 inches tall, what should the length of their head be?

Solve.
88) The ratio of an object’s weight on Earth to its weight on the Moon is 6:1. The first person
to walk on the Moon was Neil Armstrong. He weighed 165 pounds on Earth. How much did
he weigh on the Moon?

89) The ratio of seventh graders to eighth graders participating in a science fair is 4:3.
There are 18 eighth graders participating in the science fair. How many seventh graders are
there?

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 Squares and Square Roots

Squaring a number and taking the square root of a number are “inverses”.
They “undo” each other.

Examples:                                          Practice:
90)

91)

92)

Pre‐Algebra Study Guide            Page 7 of 8                    NEBMC 03/13/09
2008­09

73)
74)

75)

76)
77)
78)

79)
80)
81)

82)

83)

84)

85)

86)
87)

88)

89)
90)
91)

92)

Pre‐Algebra Study Guide            Page 8 of 8                 NEBMC 03/13/09

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