An expression like $$x^n$$ is called a...

In an expression of the form $$x^n$$ , this is the name for $$x$$

"more than, sum, plus, increased by, added to" all mean this operation

"less than, subtracted from, difference, decreased by, and minus," all mean this operation.

"product of, multiplied by, times, and of" all mean this operation

"quotient of, and divided by" mean this operation.

means to find the value of an expression

the rule that lets you know which operation to perform first in a numerical or algebraic expression

Equivalent Expressions

expressions that represent the same number

For any number $$a$$ , $$a=a$$ . Any quantity is equal to itself.

For any numbers $$a,\ b,\ and\ c,$$ if $$a=b$$ , then $$b=a$$ . If one quantity equals a second quantity, then the second quantity equals the first.

For any numbers $$a,\ b,\ and\ c,$$ if $$a=b$$ and $$b=c$$ , then $$a=c$$ . If one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity.

Substitution Property

If $$a=b$$ , then $$a$$ may be replaced by $$b$$ in any expression. A quantity may be substituted for its equal in any expression.

$$a+0=0+a=a$$ For any number a, the sum of a and 0 is a.

$$a+\left(-a\right)=0$$ A number and its opposite are additive inverses of each other.

Multiplicative Identity

$$a\cdot1=a$$ $$1\cdot a=a$$ For any number a, the product of a and 1 is a.

Multiplicative Property of Zero

$$a\cdot0=0$$ $$0\cdot a=0$$ For any number a , the product of a and 0 is 0.

Multiplicative Inverse

$$\frac{a}{b}\cdot\frac{b}{a}=1$$ , $$\frac{b}{a}\cdot\frac{a}{b}=1$$ For every number $$\frac{a}{b}$$ , where $$a,\ b\ne0$$ there is exactly one number $$\frac{b}{a}$$ such that the product of $$\frac{a}{b}$$ and $$\frac{b}{a}$$ is 1.

The order in which you add or multiply numbers does not change their sum or product. $$a+b=b+a$$ $$a\cdot b=b\cdot a$$

The way you group three or more numbers when adding or multiplying does not change their sum or product. $$\left(a+b\right)+c=a+\left(b+c\right)$$ $$\left(ab\right)c=a\left(bc\right)$$

Distributive Property

For any numbers a, b, and c . $$a\left(b+c\right)=ab+ac,\ \left(b+c\right)a=ba+bc$$ $$a\left(b-c\right)=ab-ac;\ \left(b-c\right)a=ba-bc$$

terms that contain the same variables, with corresponding variables having the same power (exponent)

an expression is in this form when it contains no like terms or parentheses

the numerical factor of a term. For example, the 6 in $$6ab$$

a mathematical statement that contains algebraic expressions and symbols

a sentence that contains an equals sign (=)

finding a value for a variable that makes a sentence true

the value of a variable that makes a sentence true

a set of numbers from which replacements for a variable may be chosen

a collection of objects or number that is often shown using braces $$\left\{\right\}$$

each object or number in the set

the set of elements from the replacement set that make an open sentence true

an equation that is true for every value of the variable

this system is formed by the intersection of two number lines, the horizontal axis and the vertical axis

the plane containing the x- and y- axes

the point $$\left(0,0\right)$$ where the axes intersect

is a set of numbers, or coordinates, written in the form $$\left(x,y\right)$$

the x- value, represents the horizontal placement of the point

y- value, represents the vertical placement of the point

illustrates how each element of the domain is paired with an element in the range .

the set of the first numbers of the ordered pairs

the set of second numbers of the ordered pairs of the relation

Algebra 1: Chapter 1 Vocabulary Flashcards

Student preview

71 questions

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1.

FLASHCARD QUESTION

Front

Algebraic Expression

Back

consists of sums and/or products of numbers and variables

2.

FLASHCARD QUESTION

Front

Variables

Back

symbols used to represent unspecified numbers or values; any letter may be used for these

3.

FLASHCARD QUESTION

Front

Term

Back

A part of an expression that may be a number, variable, or a product or quotient of numbers and variables.

4.

FLASHCARD QUESTION

Front

Factors

Back

In a multiplication expression, these are the quantities being multiplied.

5.

FLASHCARD QUESTION

Front

Product

Back

the result of a multiplication expression

6.

FLASHCARD QUESTION

Front

Power

Back

7.

FLASHCARD QUESTION

Front

Exponent

Back

indicates the number of times the base is used as a factor

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