Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
30 Cards in this Set
 Front
 Back
Equation

statement that two expressions are equal


Variables

letters that represent numbers


algebraic expression

form by numbers and variables connected by the operations of addition, subtraction, multiplication, division, raising to powers, and/or taking roots.


to evaluate an algebraic expression containing variables...

substitue the given numbers for the variables and simplify.


value of the expression

the result from evaluating an algebraic expression containing variables


natural numbers

1,2,3,4...


whole numbers

0,1,2,3...


intergers

...3,2,1,0,1,2,3...


ellipsis

[...] it means the pattern continues


elements

members of a set


Set builder notation

describes the elements of a set but does not list them


real numbers [x]

x corresponds to a point on the number line


Rational numbers [a/b]

a and b are intergers and b does not equal 0


Irrational numbers [x]

x is a real number and x is not a rational number


3 is an element of set A. we write it like...

3EA


Subset

If all the elements of set A are also in set B ACB


IaI=

a if a is 0 or a positive number. a if a is a negative number


The opposite of a number a

a


A linear equation in one variable

an equation that can be written in the form ax + b = c, where a,b, and c are real numbers and a is not 0


Equivalent equations

have the same solution


addition property of equality

guarantees that the same number may be added to (or subtracted from) both sides of an equation, and the result is an equivalent equation


multiplication property of equality

guarantees that both sides of an equaiton may be multiplied by (or divided by) the same nonzero number, and the result is an equivalent equation


to solve linear equations in one variable

1. clear the equation of fractions 2. remove grouping symbols such as parentheses 3. simplify by combing like terms 4.write variable terms on one side and nubmers on the other side using the same property of equality 5. isolate the variable using the muliplication property of equality 6. check the proposed solution in the original equation


exponent `

shorthand notation for repeated multiplication of the same factor


Formula

an equation that describes a know relationship among quantities is called a formula


to solve a formula for a specified variable

use the steps for solving an equation. Treat the specified variable as the only variable of the equation.


linear inequality in one variable

an inequality that can be written in the form ax + b < c, where a, b, and c are real numbers and a does not equal 0.


addition property of inequality

guarantees that the same number may be added to (or subtracted from) both sides of inequality, and the resulting inequality will have the same solution set.


multiplication property of inequality

guarantees that both sides of an inequality may be multiplied by (lr dived by) the same positive number and the resulting inequality will have the same solution set. We may also multiply (or divide) both sides of an inquality of the same negative number and reverse the direction of the inequality symbol


to solve a linear inequality in one variable

1. clear the equation of fractions 2. remove grouping symbols such as parentheses 3. simplify by combining like terms 4. write variable terms on one side and numbers on the other side using the addition property of inequality 5. Isolate the variable using the muliplication property of inequality
