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Algebra 1 - Unit 1 Algebra Basics

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Section 1

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Associative Property

Front

1 / 27

Algebra Math

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Mar 1, 2020

Cards (27)

Section 1

(27 cards)

Associative Property

Front

Changing the grouping of numbers will NOT change the value.

Back

Addition Property of Equality

Front

If you add the same number to each side of an equation, the two sides remain equal.

Back

Property of Zero

Front

the product of a number and 0 is 0

Back

Subtraction Property of Equality

Front

If you subtract the same number from each side of an equation, the two sides remain equal.

Back

Conjecture

Front

an opinion or conclusion formed on the basis of incomplete information; hypothesis

Back

Inverse Operations

Front

Two operations that undo each other

Back

Solution

Front

The value of a variable that makes an equation true.

Back

Identity Property

Front

the sum of any number and 0 is that number the product of 1 and any number is that number

Back

Division Property of Equality

Front

If you divide each side of an equation by the same nonzero number, the two sides remain equal.

Back

Whole Numbers

Front

"W" set of non-negative integers that do not have fractional or decimal parts

Back

Real Numbers

Front

"R" all numbers that can be found on the number line

Back

Integers

Front

"Z" set of numbers that includes: natural numbers, their opposites and zero.

Back

Equation

Front

a mathematical statement that two expressions are equal

Back

Linear Equation in One Variable

Front

a mathematical statement composed of algebraic and/or numeric expressions set equal to each other

Back

Reflexive Property

Front

A quantity is congruent (equal) to itself. a = a

Back

Multiplication Property of Equality

Front

If you multiply each side of an equation by the same nonzero number, the two sides remain equal.

Back

Transitive Property

Front

If a=b and b=c, then a=c

Back

Literal Equation

Front

An equation with two or more variables

Back

Commutative Property

Front

The property that says that two or more numbers can be added or multiplied in any order without changing the result.

Back

Symmetric Property

Front

if a=b, then b=a

Back

Irrational Numbers

Front

"I" set of numbers that cannot be expressed as a ratio of two numbers

Back

Theorem

Front

A mathematical statement which we can prove to be true

Back

Distributive Property

Front

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

Back

Equivalent Equations

Front

Two or more equations with the same solution

Back

Inverse Property

Front

the sum of a number and its opposite is 0

Back

Natural Numbers

Front

"N" set of positive integers

Back

Rational Numbers

Front

"Q" set of numbers that can be expressed as the ratio of two integers where the denominator is not zero

Back