Today we’re learning how to solve one-step equations!
It’s like finding the missing piece of a puzzle.
We use inverse operations (opposite operations) to get the variable alone.
You already know addition/subtraction and multiplication/division — now we’ll use them to solve equations! Let’s go! 🔍
1. The Golden Rule
Whatever you do to one side of the equation, you must do to the other side to keep it balanced!
2. Addition & Subtraction Equations
Example 1: x + 7 = 15
Subtract 7 from both sides:
x + 7 - 7 = 15 - 7
x = 8
Example 2: y - 4 = 11
Add 4 to both sides:
y = 11 + 4 = 15
3. Multiplication & Division Equations
Example 1: 3x = 24
Divide both sides by 3:
x = 24 ÷ 3 = 8
Example 2: n ÷ 5 = 6
Multiply both sides by 5:
n = 6 × 5 = 30
4. Let’s Practice Together! 🎉
Question 1:
x + 9 = 17
x = 17 - 9 = 8 ⭐
Question 2:
y - 6 = 12
y = 12 + 6 = 18 ⭐
Question 3:
4x = 28
x = 28 ÷ 4 = 7 ⭐
Question 4:
n ÷ 3 = 10
n = 10 × 3 = 30 ⭐
Question 5 (Real Life):
You bought some pencils for $3 each. The total cost was $21. How many pencils did you buy? (Let x = number of pencils)
3x = 21 → x = 21 ÷ 3 = 7 pencils ⭐
6. Real Life in Canada 🇨🇦
You have $45 and want to buy a toy that costs $12. How much money will you have left? (45 - x = 12)
A box of 8 hockey cards costs $24. How much does each card cost?
You save the same amount each week and after 5 weeks you have $35. How much do you save each week?
You are a One-Step Equation Solver! 🏆
Amazing work today! You can now solve one-step equations using inverse operations.
This is a huge step in algebra — you’re doing wonderfully!
I’m so proud of you,
Keep solving equations in your daily life, Mrs. Brenda ❤️