Messmer High School                                               Name_________________________

 

Algebra, Chapter 4 Test                                            Date____________ Hour_________

Main Section

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 the value, or values, for a variable that makes an equation, or an inequality, true

 

 

 

inverse

 

5

 

The multiplicative inverse of a number

 

 

 

Identity property

 

6

 

Whole numbers, both positive and negative, and zero

 

 

 

solving

 

7

Mathematical sentence containing Ògreater thanÓ, Òless thanÓ, Ògreater than or equal toÓ, or Òless than or equal toÓ.

 

 

 

inequality

 

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

 

Addition property of inequality

 

15

If a < b then a+ c < b + c or

If a > b then a + c > b + c

 

Addition property of equality

 

16

 

If a = b then a + c = b + c

Use the property of addition to solve the following problems:

x + 5 > 31                                                        z - 17 < -78

 

 

 

m - 12 > 34                                                     r + 35 > -20

 

 

 

Translate into an equation, solve and graph.

Twelve more than a number is less than twenty-eight.

 

 

 

Twenty-eight less than a number is greater then negative fifty.

 

 

 

Use the Multiplication Property to solve the following:

51 < 17X                                                         12g > 168

 

 

 

-5h less then or equal to 77                              10j greater than or equal to -130

 

 

 

 

Use the two-step process:

12x + 45 > 105                                                6x - 22 < 50

 

 

 

 

11r + 180 greater than or equal to 59                3r+30 less than or equal to -72

 

 

 

 

Graph on a number line:

   x > 3                                                             x less than or equal to 5

 

 

 

 

 

Solve

3z + 12 > 2z - 20                                             c/2 Р 3/4  < c + 1/3

 

 

 

8y - 2y > 30 + y                                              y/5  < 45/60

 

 

 

 

50/a less than or equal to 45/90                        4/11  greater than or equal to  8/b

 

 

 

Alan purchased a used car for one thousand four hundred forty-five dollars. Later, he sold it. Write and solve an inequality showing how much Alan needs to get for his car to make a profit greater than three hundred fifty dollars.