# Logan / Nine Weeks Math Vocabulary

## 39 terms

### variable

is a letter that stands for a number

### variable expression

is a mathematical phrase that uses variables, numerals, and operation symbols

PEMDAS

### opposites

numbers that are the same distance from zero on a number line but in opposite directions

### integers

whole numbers, their opposites, and zero

### absolute value

a numbers distance from zero on the number line

### Inductive reasoning

is making conclusions based on the patterns you observe

### conjecture

a conclusion you reach by inductive reasoning

### counterexample

example that proves a statement false

### coordinate planes

is formed by the intersection of two number lines

### x-axis

horizontal number line

### y-axis

vertical number line

the x and the y axes divided the coordinate plane into four

### origin

where the axes intersection

### ordered pair

gives the coordinates and location of a point

### x-coordinate

shows the position right or left of the y-axis

### y-coordinate

shows the position above or below the x-axis

### associative property of addition and multiplication

you can change the grouping and it will not change the outcome

### commutative property of addition and multiplication

you can change the order, and it will not change the outcome

### identity property of addition

adding a zero to the answer will not change the number; it will keep its identity

### identity property of multiplication

the product times 1 and itself

is 0

is 1

### distributive property

when multiplying a sum or difference, multiply each number within the parentheses by the number outside the parentheses

### term

is a number or the product of a number and variable

### constant

is a term that has no variable

### like term

have identical variables

### coefficient

is a number that multiplies a variable

### simplify

a variable expression -- by replacing it with an equivalent expression that has as few terms as possible

### deductive reasoning

is the process of reasoning logically from given facts to a conclusion

### equation

is a mathematical sentence with an equal sign

### open sentence

equation with one or more variable

### solution of an equation

is a value for a variable that makes an equation true

### inverse operations

operations that undo each other

### inequality

is a mathematical sentence that contains <, >, ≠, ≥, and ≤

### solution of the inequality

any number that makes an inequality true

### compatible numbers

are numbers that are easy to divide mentally

### formula

is an equation that shows a relationship between qualities that are represented by a variable

### perimeter

is a distance around the figure