Choosing a variable and deciding what the variable represents.

Equivalent Expressions

Expressions that have the same value

To find the value of an algebraic expression by replacing variables with numbers.

In a power, the number that tells how many times the base is used as a factor. For example, in 10², 2 is the exponent.

Identity Property of Addition

Adding zero won't change a number. 5 + 0 = 5

Inverse Property of Addition

Any number added to its opposite will equal zero. a + (-a) = 0

Terms that are exactly the same except for their coefficients and can be combined to make a single term. In: 5x + 2x + 3 5x and 2x are like terms and can be combined to make 7x

Numbers expressed using exponents For example: 10⁵ = 10 x 10 x 10 x 10 x 10 Is read as 10 to the power of 5.

A number that has exactly two factors and can only be divided evenly by itself and one. Examples: 2, 3, 5, 7, 11, 13

Statements that are true for any number

Each part of an algebraic expression separated by a plus or minus sign In: 5x + 3 5x and 3 are both terms

A number with more than two factors.

A letter or symbol representing a varying quantity For example in: 10 + n. n is the variable

Addition Property of Equality

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

Subtraction Property of Equality

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

Multiplication Property of Equality

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

Division Property of Equality

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

A mathematical statement containing an equals sign, showing that two expressions are equal. Example: 5x + 10 = 35

Opposite or reverse operations. Addition and subtraction are inverse operations, as are multiplication and division.

A set of guidelines or a specific formula that describes a consistent relationship between numbers or variables

The value of a variable that makes an equation true

To replace a variable with a value that results in a true sentence

Identity Property of Multiplication

Multiplying by 1 won't change a number. 5 x 1 = 5

Algebra Concepts Flashcards

Student preview

39 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Algebra

Back

A mathematical language of symbols including variables

Tags

CCSS.6.EE.B.6

2.

FLASHCARD QUESTION

Front

Algebraic Expression

Back

A combination of variables, numbers, and at least one operation

5x + 3

Tags

CCSS.6.EE.A.2B

3.

FLASHCARD QUESTION

Front

Associative Property

Back

The way in which numbers are grouped does not change the sum or product

(2 + 3) + 4 = 2 + (3 + 4)

Tags

CCSS.7.NS.A.1D

4.

FLASHCARD QUESTION

Front

Base

Back

In a power, the number that is used as a factor.

For example, in 10², the base is 10.

Tags

CCSS.6.EE.A.1

5.

FLASHCARD QUESTION

Front

Coefficient

Back

The numerical factor of a term that contains a variable

In: 5x + 3

5 is the Coefficient

Tags

CCSS.6.EE.A.2B

6.

FLASHCARD QUESTION

Front

Commutative Property

Back

The order in which numbers are added does not change the sum or product

2 + 3 = 3 + 2

Tags

CCSS.3.OA.B.5

7.

FLASHCARD QUESTION

Front

Constant

Back

A term without a variable.

In: 5x + 3

3 is the Constant

Tags

CCSS.6.EE.A.2B

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