Here is what would be the contents of your presentation. You may design it and organize it as you wish.
Hope this helps,
Jeron
:)
Equations Portfolio
Introduction:
Welcome to the Equations Portfolio, where we will explore various types of equations and their solutions. In this portfolio, you will learn how to solve different equations step by step. Let's dive in!
One-Step Equations:
Equation 1: 3x + 7 = 16
Solution:
Step 1: Subtract 7 from both sides: 3x + 7 - 7 = 16 - 7
Step 2: Simplify: 3x = 9
Step 3: Divide both sides by 3: 3x/3 = 9/3
Step 4: Simplify: x = 3
Equation 2: 5y - 9 = 16
Solution:
Step 1: Add 9 to both sides: 5y - 9 + 9 = 16 + 9
Step 2: Simplify: 5y = 25
Step 3: Divide both sides by 5: 5y/5 = 25/5
Step 4: Simplify: y = 5
Equations with Fractions:
Equation 3: (2/3)x + 4 = 2
Solution:
Step 1: Subtract 4 from both sides: (2/3)x + 4 - 4 = 2 - 4
Step 2: Simplify: (2/3)x = -2
Step 3: Multiply both sides by 3/2: (2/3)x * (3/2) = -2 * (3/2)
Step 4: Simplify: x = -3
Equation 4: (3/5)y - 1 = 2
Solution:
Step 1: Add 1 to both sides: (3/5)y - 1 + 1 = 2 + 1
Step 2: Simplify: (3/5)y = 3
Step 3: Multiply both sides by 5/3: (3/5)y * (5/3) = 3 * (5/3)
Step 4: Simplify: y = 5
Equations with Distributive Property:
Equation 5: 2(3x - 5) = 4
Solution:
Step 1: Apply the distributive property: 2 * 3x - 2 * 5 = 4
Step 2: Simplify: 6x - 10 = 4
Step 3: Add 10 to both sides: 6x - 10 + 10 = 4 + 10
Step 4: Simplify: 6x = 14
Step 5: Divide both sides by 6: 6x/6 = 14/6
Step 6: Simplify: x = 7/3
Equations with Decimals:
Equation 6: 0.2x + 0.3 = 0.7
Solution:
Step 1: Subtract 0.3 from both sides: 0.2x + 0.3 - 0.3 = 0.7 - 0.3
Step 2: Simplify: 0.2x = 0.4
Step 3: Divide both sides by 0.2: (0.2x)/0.2 = 0.4/0.2
Step 4: Simplify: x = 2
Real-World Problem:
Problem: Alice has 30 apples. She wants to distribute them equally among her friends. If she has 6 friends, how many apples will each friend receive?
Solution:
Let's assume each friend receives "x" apples.
Equation 7: 30 = 6x
Solution:
Step 1: Divide both sides by 6: 30/6 = 6x/6
Step 2: Simplify: 5 = x
Conclusion:
Congratulations! You have successfully learned how to solve different types of equations. Remember to apply the correct operations and steps to isolate the variable. Keep practicing, and you'll become a pro at solving equations in no time!