Algebra Vocabulary

Question 1

Set

Answer 1

A collection of objects each of which are called a member or element of a set. {enclosed in brace symbols}

Question 2

Demoninator

Answer 2

Bottom number of a fraction

Question 3

Variable

Answer 3

A symbol that is used to represent a number

Question 4

Inequality symbols

Answer 4

The are , ≥, ≤, and ≠

Question 5

Grouping symbols

Answer 5

( ), { }, [ ], / fraction bar

Question 6

Equation

Answer 6

A mathematical statement that two expressions have equal value - uses the = sign

Question 7

Opposites

Answer 7

Two numbers that are the same distance from 0 on the number line but line on opposite sides of zero

Question 8

Exponent

Answer 8

How many times the value is to be multiplied

Question 9

Solution

Answer 9

The value that can be put in place of a variable that would make the equation true

Question 10

Absolute Value

Answer 10

Is the distance between |A| and 0 on the number line - denoted within |3| - it |A| is always a positive number

Question 11

Base

Answer 11

The number that is going to be raised to a power

Question 12

Numerator

Answer 12

Top number of a fraction

Question 13

Reciprocals

Answer 13

invert the fraction - example 1/2 same at 2/1 because they equal one when multiplied together

Question 14

Prime number

Answer 14

Is a natural number other than 1, whose only factors are 1 and itself. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 …

Question 15

Composite number

Answer 15

Is numbers, other than 1, that are not prime numbers - they have other factors besides 1 and itself - 10 is a composite number 1, 10, 2 and 5 are other factors

Question 16

Prime Factorization

Answer 16

Every composite number can be written as a product of prime numbers

Question 17

Multiply two fractions

Answer 17

Multiply numerator x numerator to obtain the numerator of the product and denominator by denominator to get the denominator of the product

Question 18

Dividing two fractions

Answer 18

Multiply the first fraction by the reciprocal of the second fraction - example 3/5 / 4/8 would be 3/5 x 8/4

Question 19

Adding or Subtracting fractions with common demoninators

Answer 19

Combine the numerator and place the sum or difference over the common denominator. Example 1/2 + 3/2 would be 1+3/2

Question 20

Equivalent fractions

Answer 20

Fractions that equal and represent the same quantity what ever you do in the denominator you must do in the numerator

Question 21

Adding and Subtracting fractions without common demoninators

Answer 21

First write the fractions in equivalent fractions. Example 2/5 = 8/20 - to get denominator of 20 you would multiply 5 x 4 so you would also have to multiply 2 x 4 2/5 x 4/4 = 8/20 - 2/5 = 8/20

Question 22

LCD or Least Common Denominator

Answer 22

The smallest multiple of the denominators

Question 23

Order of operations

Answer 23

If grouping symbols such as ( ) are present, simplify expressions within those first, starting with the innermost set.
If fraction bars are present, simplify numerator and denominator separately
Evaluate exponential expressions
Perform multiplication or division in order from left to right
Perform addition or subtraction in order from left to right

Question 24

Adding two numbers with the same sign

Answer 24

Add their absolute values and use their common sign and the sign of the sum

Question 25

Adding two number with different signs

Answer 25

Subtract the smaller absolute value from the larger absolute value and use the sign of the larger absolute value and the sign of the sum

Question 26

Real numbers

Answer 26

All the number that correspond to points on a number line - includes negative numbers

Question 27

Irrational numbers

Answer 27

Are all non-rational numbers that correspond to points on the number line. A number can not be rational and irrational

Question 28

Natural numbers

Answer 28

1,2,3,4,5,6…. all are positive

Question 29

Whole numbers

Answer 29

0,1,2,3,4…

Question 30

Negative Integers

Answer 30

Are numbers that are less that zero

Question 31

Positive integers

Answer 31

Are numbers that are greater than zero

Question 32

Integers

Answer 32

Are both positive and negative numbers

Question 33

Rational numbers

Answer 33

{a/b | a and b are integers and b ≠ 0 - includes negative numbers - every rational number is a real number - a number can not be rational and irrational

Question 34

Fundamental Principle of Fractions

Answer 34

If a/b is a real number and c is a non-zero real number the a x c/b x c = a/b Any real number over itself equals 1 - exception is zero

Question 35

Simplified fraction

Answer 35

When the numerator and the denominator have no common factors other than 1 or (-1)

Question 36

Mixed numbers

Answer 36

Have a whole number part and a fraction part

Question 37

Improper fractions

Answer 37

The numerator is greater than or equal to the denominator

Question 38

Fraction

Answer 38

The quotient of two numbers - 1/5

Question 39

To factor a number means

Answer 39

To write it as a product