Solving Multi-Step Linear Equations

Grade 8 Mathematics Building algebraic problem-solving skills Common Core Standard 8.EE.C.7

What Are Multi-Step Linear Equations?

Equations that require more than one operation to solve Example: 2x + 3 = 11 Variables may appear on one or both sides We use inverse operations to isolate the variable

Identify the Steps

Look at this equation: 3x + 5 = 17 What operation is happening to x first? What operation should we undo first? Work with a partner to discuss the order

Step-by-Step Strategy

Step 1: Identify terms (variables and constants) Step 2: Move variables to one side (if needed) Step 3: Undo addition or subtraction first Step 4: Undo multiplication or division last Step 5: Check your answer by substituting back

Solving Example: 2x + 3 = 11

Practice Problem

Solve: 4x - 7 = 13 Remember our steps! Show all your work Check your answer when finished

Variables on Both Sides

{"left":"When variables appear on both sides: 3x + 2 = x + 8\nFirst move all variables to one side\nChoose the side with more variables\nThen follow our regular steps","right":"Example: 3x + 2 = x + 8\nSubtract x from both sides: 2x + 2 = 8\nSubtract 2 from both sides: 2x = 6\nDivide both sides by 2: x = 3"}

Key Takeaways

Always work systematically through the steps Keep your work neat and organized Undo operations in reverse order Move variables to one side first (when needed) Always check your answer! Practice makes perfect - keep working on these skills