Mrs.D Math · 6th Grade

ONE-STEP
WONDER

One-Step Equations
➕➖ Add & Subtract
✕÷ Multiply & Divide
🔰 Solve for the Variable!
➕ x + 5 = 12
✕ 5x = 35
÷ x÷6 = 8
➕➖ Add & Subtract
✕÷ Multiply & Divide
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📚 One-Step Equations

What is a One-Step Equation?

An equation has a variable (like x) that you need to find.

You only need one step — one inverse operation — to isolate the variable.

The Big Idea: Inverse Operations

➕
Addition is undone by subtraction
x + 7 = 15 → x = 15 − 7 → x = 8
➖
Subtraction is undone by addition
x − 4 = 9 → x = 9 + 4 → x = 13
✕
Multiplication is undone by division
5x = 35 → x = 35 ÷ 5 → x = 7
÷
Division is undone by multiplication
x ÷ 6 = 8 → x = 8 × 6 → x = 48

Fraction Coefficients

When the variable has a fraction in front, multiply both sides by its reciprocal.

🔰
Example: (2/3)x = 6
Multiply by 3/2: x = 6 × (3/2) = 9
🔰
Example: (1/5)x = 8
Multiply by 5: x = 8 × 5 = 40
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ADD & SUBTRACT
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