Messmer High School                                               Name_________________________

 

Algebra, Chapter 5 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 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 “greater than”, “less than”, “greater than or equal to”, or “less than or equal to”.

 

 

 

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.

Simplify

85 x 89  =                                                          m7 x m0  =

 

 

 

104 x 108  =                                                      4a4b5  x  3a9b3

 

 

 

 

c7  /  c 5  =                                                         a4b5  /  a3b3

 

 

Express using positive exponents:

3-5   =                                                               5y-4 =

 

 

 

(5y) -3  =                                                           (-2z) –2  =

 

 

 

Simplify

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

 

 

Simplify by combining the like terms:

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

 

 

 

Multiply or divide as indicated

(3a4)(2a2) =                                                      (4a4b8)(2a4b2) =

 

 

12m4 / 4m4 =                                                    15y8 / 3y2  =

 

 

 

3B(2B + 17)                                                    3C(C – 8)

 

 

 

(2B + 3)(B + 7)                                               (4A – 7)(2A + 9)

 

 

Write using scientific notation

 

 

3,230,000,000                                           0.00000000045

 

 

 

Write using standard notation:

 

4.78 x 108                                                        3.18 x 10-7  

 

 

 

 

Multiply, divide, or simplify as indicated

8-4 x 8-2  =                                                        (1/2)a6b3  x  (1/3)a-7b-2

 

 

 

(a3bn-5)2                                                  4c5 /  2c-3

 

 

 

(2D + 6)(2D –6)                                              (4L – 5)2

 

 

 

(2C + 2)(3C2 – 4C + 7)

 

 

 

 

Collect like terms and arrange them in descending order

 

(1/4)x5 – 4 + (1/2)x5 –3x +2x2 – 3x3