algebra vocabulary - chapter 1

Question 1

a symbol used to represent one or more numbers

Answer 1

variable

Question 2

numbers represented by a variable

Answer 2

values of the variable

Question 3

an expression that contains a variable such as the expression 4.50 x h

Answer 3

variable expression

Question 4

an expression, such as 4.50 x 4, that names a particular number

Answer 4

numerical expression

Question 5

number named by a numerical expression

Answer 5

value of a numerical expression

Question 6

replacing a numerical expression by the simplest name for its value

Answer 6

simplifying the expression

Question 7

replacing each variable in a variable expression by a given value and simplifying the result

Answer 7

evaluating the expression OR finding the value of the expression

Question 8

a device, such as a pair of parentheses, used to enclose an expression that should be simplified first

Answer 8

grouping symbol

Question 9

what is formed by placing an equals sign between two numberical or variable expression?

Answer 9

an equation

Question 10

the two numerical or variable expressions separated by an equals sign in an equation

Answer 10

sides of an equation

Question 11

sentences containing variables (like the equations 5x-1=9 and y+2=2+y

Answer 11

open sentences

Question 12

the given set of numbers that a variable may represent

Answer 12

domain of a variable

Question 13

any value of a variable that turns an open sentence into a true statement

Answer 13

a solution OR root

Question 14

a solution or root is said to ________ the open sentence

Answer 14

satisfy

Question 15

the set of all solutions of an open sentence

Answer 15

solution set

Question 16

finding the solution set is called _______the sentence

Answer 16

solving the sentence

Question 17

a principle that says an expression may be replaced by another expression that has the same value (used when simplifying a numerical expression)

Answer 17

substitution principle

Question 18

equations that state rules about relationships (like A=lw for the area of a rectangle or D=rt for distance traveled)

Answer 18

formulas

Question 19

the point labeled zero on a number line

Answer 19

origin

Question 20

on a horizontal line, the numbers right of the origin

Answer 20

positive side

Question 21

on a horizontal line, the number left of the origin

Answer 21

negative side

Question 22

1,2,3,4….

Answer 22

positive integers

Question 23

-1, -2, -3, -4…

Answer 23

negative integers

Question 24

a set of numbers consisting of positive integers, negative integers and zero (…-3,-2,-1,0,1,2,3…)

Answer 24

integers

Question 25

a set of numbers that consists of zero and all the positive integers (0,1,2,3…)

Answer 25

whole numbers

Question 26

a number paired with a point on the positive side of a number line

Answer 26

positive number

Question 27

a number paired with a point on the negative side of a number line

Answer 27

negative number

Question 28

the point paired with a number on a number line

Answer 28

graph

Question 29

the number paired with a point on a number line

Answer 29

coordinate

Question 30

any number that is either positive, negative or zero

Answer 30

real number

Question 31

symbols used to show the order of two real numbers (< “is less than”, > “is greater than”

Answer 31

inequality symbols

Question 32

paired points on the number line that are the same distance left and right of the origin
(-1 with 1, -4 with 4, 0 with 0, -6.8 with 6.8)

Answer 32

opposites

Question 33

the positive number of any pair of opposite non-zero real numbers
*can also be thought of as the distance between the graph of the number and the origin on a number line. For example, the graphs of both 4 and -4 are 4 units from the origin

Answer 33

absolute value