4.10 Solve One Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform the inverse operation on both sides of the equation. For example, if the equation is x + 5 = 10, subtract 5 from both sides to solve for x.

Front

Solve: x - (-5) = 27

Back

x = 22

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

Solve: 32 = -8a

Back

a = -4

Front

What is the inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

Solve: a - 18 = 50

Back

a = 68

Front

What does it mean to 'solve for y' in an equation?

Back

To 'solve for y' means to find the value of y that makes the equation true.

Front

Solve: y + 9 = -10

Back

y = -19

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.