# Algebra exam

## 33 terms

### integers

whole numbers and their opposites

### absolute value

number's distance from zero

### Rule to add integers with the same sign

add absolute value; use the sign of the numbers in the sum

### Rule to add integers with different signs

subtract absolute value; use the sign of the number with the greates absolute value in the sum

a + -a = 0

### Rule to multiply integers with the same sign

the product of 2 integers with the same sign is positive

### Rule to multiply integers with different sign

the product of 2 integers with different signs is negative

### Rule to divide integers with the same sign

the quotient of 2 integers withthe same sign is positive

### rule to divide integers with different signs

the quotient of 2 integers with different signs is negative

### exponent

tells how many times the base is used as a factor

### powers

numbers written with exponents

### evaluate

find the value of

### numerical expression

combination of numbers and operation

### order of operations

do all work in parentheses; evalueate all powers; multiply/divide from left to right; add/subtract from left to right

### variable

letter used to represent a number

### algebraic expression

combination of numbers, variables, and at least one operation

### coefficient

number that multiplies the variable

a(b+c) = ab +ac

a + b = b + a

a b = b a

### associative property of +

(a+b) + c = a + (b+c)

(ab) c = a(bc)

a + 0 =a

a * 1 = a

### rational number

any number inthe form a/b, where a and b are integers and b not equal 0

### multiplicative inverse or reciprocal

2 numbers whose product is 1

a/1 * 1/a = 1

### monomial

a number, variable or product of a number and variable

### Scientific notation

number written as a product of a number between 1 and 10 and a power of 10

### equation

mathematical sentence that contains an equal sign

### inverse operations

operations that undo each other

### inequality

a mathematical sentence that contains >, <, >=,<=, or not equal