Solving Two-Step Equations

What is a Two-Step Equation? An equation that has 2 numbers on the same side of the variable 3x + 7 = 13

Examples of Two-Step Equations a)3x – 5 = 16 b)y + 3 = 12 c)5n + 4 = 6 d)n – 6 = 4 4 4

Steps for Solving Two-Step Equations 1.Solve for any ADDITION OR SUBTRACTION on the variable side of equation by “undoing” the operation from both sides of the equation. 2.Solve any MULTIPLICATION OR DIVISION from variable side of equation by “undoing” the operation from both sides of the equation.

Opposite Operations Addition  Subtraction Multiplication  Division

REMEMBER, When Solving Equations We Always Find the variable that needs to be alone. Figure out what numbers we need to get rid of. Whatever we do to one side, we must do to the other side to keep the equation balanced.

Ex. 1: Solve 4x – 5 = 15 4x – 5 = x = x = 5

WAIT! How do you know what to get rid of first? Pretend it’s a Party First your friend leaves Then your boyfriend or girlfriend leave

Ex. 1: Solve 4x – 5 = 15 4x – 5 = x = x = 5 Friend, not touching Boyfriend or Girlfriend, holding hands

Try These Examples 1.2x – 5 = y + 7 = 25 3.– 2 + 5n = b = 28

Try these examples! 1.x – 3 = 8 2.c + 4 = 9 3.– 6 + r = d =