Messmer High School                                                          Name_________________________

 

Algebra, Chapter 6 Test                                                      Date____________ Hour_________

 

 

 

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

 

 

Exponential notation

17

 

A way of writing numbers that uses exponents

 

 

Degree of a term

18

 

The sum of the exponents of a term

 

 

binomial

19

 

A polynomial with exactly two terms

 

 

Monomial

20

Either a numeral, a variable, or a product of numerals and variables with a whole number exponent

 

 

trinomial

21

 

A polynomial with exactly three terms.

 

 

Scientific notation

22

 

A way of writing numbers using a mantissa and an exponent

 

 

Polynomial

23

 

A monomial or a sum of monomials

 

 

mantissa

24

 

A number greater than of equal to 1 and less than ten used in scientific notation.

 

 

factorization

25

 

Finding two expressions that, when multiplied together, give a product

 

 

Difference of two squares

26

 

Two terms, both squares, with a minus sign between the terms.

 

 

Factoring completely

27

 

Factoring until further factoring is no longer possible

 

 

Trinomial square

28

 

The square of a binomial

Simplify

85 x 89  =                                                                        4a4b5  x  3a9b3

 

 

 

 

c7  /  c 5  =                                                                      a4b5  /  a3b3

 

 

Express using positive exponents:

3-5   =                                                                             5y-4 =

 

 

 

Simplify

(2a)3   =                                                                          (3a3)2  =

 

 

Simplify by combining the like terms:

6x2 + 4x2 Ð 10x + 3                                                  4 + 5n2 Ð 3n + 4n2 + 5n - 7

 

 

 

Multiply or divide as indicated

(4a4b8)(2a4b2) =                                                            12m4 / 4m4 =   

 

 

 

3B(2B + 17)                                                                 (4A Ð 7)(2A + 9)

 

 

Write using scientific notation

 

 

3,230,000                                                              0.000045

 

 

 

Write using standard notation:

 

4.78 x 108                                                                    3.18 x 10-7  

 

 

 

Find three factorizations for each of the following monomials:

 

15x3y5                                                                             25z4

 

 

 

 

 

Factor completely    -   Type 1

 

  6a2 Ð 12a                                                                    5x3 Ð 10x2 + 15x          

 

 

 

 

 

 

Factor completely   -  Type 2

 

16x2 Ð 25                                                                      121y4 Ð 100x2

 

 

 

 

 

Factor completely Ð Type 3

 

4x2 + 4x + 1                                                                 16y2 Ð 8y + 1

 

 

 

 

 

Factor completely Ð mixed types

 

25x4 Ð 121y6                                                                36x2 + 84xy + 49y2

 

 

 

 

 

 

80x2 Ð 125                                                                    6x2 Ð 12x + 6

 

 

 

 

 

 

 

 

 

45 Ð 5x6                                                                         28y2 + 84y + 63