Real-life situations where you can use two-step linear equations in Year 8 Maths include:
-
Budgeting:
- Imagine a student saves £20 every week. They want to know how many weeks it will take to buy something that costs £100.
- We can use this equation:
[ 20x + 30 = 100 ]
- Here, ( x ) stands for the number of weeks.
-
Distance and Speed:
- Think about a car that goes 60 kilometers every hour. If we want to find out how long it will take to drive 180 kilometers, we can use this equation:
[ 60t + 30 = 180 ]
- In this case, ( t ) is the travel time in hours.
-
Cooking:
- Suppose you have a recipe that needs a total of 150 grams of ingredients, but you already have 40 grams ready.
- To figure out how many more ingredients you need, you can use this equation:
[ 10y + 40 = 150 ]
- Here, ( y ) is the number of units you still need to prepare.
These examples show how two-step linear equations can help us solve everyday problems!