Daily life examples of mathematical equations (Grade 6)

📚 Quick Study Guide

• ➕ Addition: Combining quantities. Example: Adding up the cost of groceries.
• ➖ Subtraction: Finding the difference between quantities. Example: Calculating how much money you have left after buying something.
• ✖️ Multiplication: Repeated addition. Example: Finding the total number of items in multiple identical groups.
• ➗ Division: Splitting a quantity into equal groups. Example: Sharing a pizza equally among friends.
• ⚖️ Equations: Mathematical statements showing that two expressions are equal. They often involve variables (like 'x' or 'y') that represent unknown quantities. Example: $2x + 3 = 7$ (solving for x).
• 📐 Geometry: Dealing with shapes, sizes, and positions of figures. Example: Calculating the area of a rectangular garden using $Area = length \times width$.
• 📊 Ratios and Proportions: Comparing two quantities. Example: If a recipe calls for 2 cups of flour for every 1 cup of sugar, the ratio of flour to sugar is 2:1.

🤔 Practice Quiz

1. What equation represents buying a snack for $2.50 and a drink for $1.25, and wanting to know the total cost?
   1. $x = 2.50 - 1.25$
   2. $x = 2.50 \times 1.25$
   3. $x = 2.50 + 1.25$
   4. $x = 2.50 / 1.25$
2. You have 15 cookies and want to share them equally among 3 friends. What equation helps you find out how many cookies each friend gets?
   1. $x = 15 + 3$
   2. $x = 15 - 3$
   3. $x = 15 \times 3$
   4. $x = 15 / 3$
3. A rectangular garden is 5 meters long and 3 meters wide. Which equation calculates the area of the garden?
   1. $Area = 5 + 3$
   2. $Area = 5 - 3$
   3. $Area = 5 \times 3$
   4. $Area = 5 / 3$
4. If you earn $8 per hour and work for 4 hours, which equation shows your total earnings?
   1. $Total = 8 + 4$
   2. $Total = 8 - 4$
   3. $Total = 8 \times 4$
   4. $Total = 8 / 4$
5. You have a pizza with 12 slices and you eat 3. Which equation shows how many slices are left?
   1. $Remaining = 12 + 3$
   2. $Remaining = 12 - 3$
   3. $Remaining = 12 \times 3$
   4. $Remaining = 12 / 3$
6. A recipe calls for a ratio of 1:3 for sugar to flour. If you use 2 cups of sugar, how many cups of flour do you need? What equation solves this knowing $sugar:flour = 1:3$?
   1. $Flour = 2 - 3$
   2. $Flour = 2 + 3$
   3. $Flour = 2 \times 3$
   4. $Flour = 2 / 3$
7. You want to buy a toy that costs $20, but you only have $12. Which equation calculates how much more money you need?
   1. $Needed = 20 + 12$
   2. $Needed = 20 - 12$
   3. $Needed = 20 \times 12$
   4. $Needed = 20 / 12$