Solving Two-Step Equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in the reverse order of how they appear in the equation.

Front

Solve for w: -6w + 1 = -11

Back

w = 2

Front

What is the first step to solve x/5 - 13 = 20?

Back

Add 13 to both sides of the equation.

Front

Solve for x: x/5 - 13 = 20

Back

x = 165

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve for x: 4x + 22 = -34

Back

x = -14

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing us to isolate it.

Front

Solve for c: 3c + 5 = 23

Back

c = 6

Front

What is the second step to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides of the equation.