Vocabulary
order of operations (list them in the order)
parentheses, exponents, multiplication/division, addition/subtraction
3 - 5 = ?
-2
What is the inverse operation of addition?
subtraction
2x = -8
x = -4
3 + 5x = 13
x = 2
Zero Pair
Same absolute value but opposite signs
-7 • (-4) = ?
28
What is the inverse operation of division?
multiplication
-5 - x = -15
x = 10
4x - 7 = 21
x = 7
reciprocal
when a fraction has the numerator and denominator swapped
-10 ÷ 5 = ?
-2
What is the inverse operation that you would use to solve: 4x = 12
division to undo the multiplication
-3x = 21
x = -7
-3 + 2x = -5
x = -1
inverse operation
the operation that will undo another operation
-(-(-2)) - (-3) = ?
1
What inverse operation would you do to isolate the variable in: x÷3 = 2
multiplication to undo the division
-(-(-1))x = -6
x = 6
3 - 4x = -9
x = 3
coefficient
the number that is multiplied to the variable
-9 + 3(-4) - 8 ÷ 2 = ?
-25
What are the inverse operations needed to isolate the variable: -4x - 7 = 13? What is the value of x?
Addition to undo subtraction and division to undo multiplication. The value of x is -5.
-x ÷ (-3) = -9
x = -27
-7x - (-2) = -12
x = 2