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. It typically involves addition or subtraction followed by multiplication or division.

Front

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

Back

To isolate a variable, perform inverse operations in the reverse order of operations: first eliminate any addition or subtraction, then eliminate multiplication or division.

Front

Solve for x: 2x + 3 = 11

Back

x = 4

Front

What is the first step to solve the equation: 5x - 2 = 18?

Back

Add 2 to both sides.

Front

Solve for y: 3y + 4 = 19

Back

y = 5

Front

What does it mean to 'balance' an equation?

Back

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

Front

Back

x = 1.

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 and find its value.

Front

Back

x = 25.

Front

What is the first step to solve the equation: 12 = 3x + 6?

Back

Subtract 6 from both sides.