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Intro Algebra Ch1

pre-algebra vocabulary

The quotient of two integers fraction
The distance between a number and 0 on a number line absolute value
The symbol > means greater than
The symbol < means less than
The top number of a fraction numerator
The bottom number of a fraction denominator
A fraction is in lowest terms when the numerator and denominator have no factors in common other than 1.
To add fractions with the same denominator, add the numerators and place the sum over the common denominator
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
Fractions that represent the same quantity are called equivalent fractions
The expression a^n is called an exponential expression.
In the expression a^n, the 'a' is called the base.
In the expression a^n, the 'n' is called the exponent.
The first step in the order of operations is: If grouping symbols are present, simplify expressions within those first, starting with the innermost set.
The second step in the order of operations is: Simplify exponential expressions.
The third step in the order of operations is: Multiply or divide in order from left to right.
The last step in the order of operations is: Add or subtract in order from left to right.
A symbol used to represent a number is called a variable.
A collection of numbers,variables, operation symbols, and grouping symbols is an algebraic expression.
To evaluate an algebraic expression containing a variable, substitute a given number for the variable and symplify.
A mathematical statement that two expressions are equal is called an equation.
A solution of an equation is a value for a variable that makes the equation a true statement.
Two numbers that are the same distance from 0 on the number line but lie on opposite sides of 0 are called opposites, or additive inverses.
This is an example of which property: a + b = b + a commutative property of addition
This is an example of which property:(a + b)+ c = a +(b + c) associative property
This is an example of which property:a( b + c ) = ab + ac distributive
This is an example of which property:a + 0 = a Identity property of addition.
Two numbers whose product is 1 are called reciprocals, or multiplicative inverses.
What is the reciprocal of 2/3?` 3/2
In the expression 4x, the 4 is called the coefficient.
This is an example of which property:a * 1 = a Identity property of multiplication.
The set {1,2,3,4,...} Natural numbers
The set {0,1,2,3,...} Whole numbers
The set {...-3, -2, -1,0,1,2,3...} Integers
A number or the product of a number and variables raised to powers is a term.
The numerical factor of a term is the coefficient.
Terms with exactly the same variables raised to exactly the same powers are called like terms.
Terms that are not like terms are called unlike terms.
Created by: bstimmer