Messmer High School                                              Name_________________________

 

Algebra, Chapter 3 Test                                          Date____________ Hour_________

Main Section, three points per problem, maximum 80 points

Vocabulary matching

 

 

 

integer

 

1

 

A number that can be expressed as a ratio of two integers

 

 

 

proportion

 

2

 

A(B + C) = AB + AC

 

 

 

Absolute value

 

3

 

A second action that cancels out a first action

 

 

 

Rational number

 

4

 

Finding a value for a variable that makes an equation true

 

 

 

inverse

 

5

 

The multiplicative inverse of a number

 

 

 

Identity property

 

6

 

Whole numbers, both positive and negative, and zero

 

 

 

solving an equation

 

7

 

The result found by division.

 

 

 

quotient

 

8

 

A x B = B x A

 

 

 

reciprocal

 

9

 

A + 0 = A and A x 1 = A

 

 

 

Associative property

 

10

 

Equation stating that two ratios are equal

 

 

 

Commutative property

 

11

 

A + (B + C) = (A + B) + C

 

 

 

Distributive property

 

12

 

The distance on the number line of a point from zero

 

 

ratio

 

13

 

Comparison expressed as a fraction

 

 

Additive inverses

 

14

 

Two numbers whose sum is zero

Use the property of addition to solve the following problems:

x + 5 = 31                                                       z - 17 = -78

 

 

 

m Ð 12 = 34                                                     r + 35 = -20

 

 

 

Translate into an equation and solve:

Twelve more than a number is twenty-eight. Find the number.

 

 

Twenty-eight less than a number is negative fifty. Find the number.

 

 

Alan purchased a used car for one thousand four hundred forty-five dollars. Later, he sold it for five hundred dollars. How much money did he lose as a result?

Use the Multiplication Property to solve the following:

51 = 17X                                                         12g = 168

 

 

 

Ð5h = 77                                                          10j = -130

 

 

 

Use the two-step process:

12x + 45 = 105                                               6x Ð 22 = 50

 

 

 

11r + 180 = 59                                                3r + 30 = -72

 

 

 

Absolute value problems, solve for the given variable

| a|  = 12                                                          | b| = 0

 

 

 

2 | d| = 17                                                        5  |f| + 17 = 50

 

 

 

 

A/B Section, three points per question, maximum 20 points.

3z + 12 = 2z Ð 20                                            c/2 Р 3/4  = c + 1/3

 

 

8y Ð 2y = 30 + y                                             y/5  = 45/60

 

 

 

50/a =  45/90                                                   4/11  =  8/b

 

 

 

If a bicycle rider drinks 2 gallons  of water every 58 miles, how much water will he require for a trip of 440 miles?