Answer the below-given Math Questions.
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A linear equation is a mathematical expression that represents a straight line on a graph. It consists of numbers and a variable (usually represented by a letter) and can be solved to find the value of the variable that makes the equation true.
Here’s a story to understand what a linear equation is all about.
Anna and Ben were playing with their toy cars in the park. They had some cars, but they wanted to know how many more cars they needed to have a total of 10 cars together. To solve this problem, they decided to use a linear equation.
They started with the equation: x + 4 = 10. The letter “x” was their variable, and it represented the number of cars they needed to add to the cars they already had. The number 4 represented the cars they already had, and they wanted to find the value of “x” that would make the equation true (equal to 10).
So, they played with their cars, imagining they were adding one car to the track at a time, counting as they went along.Learn More
Sally has $10, and she earns $5 every week by doing chores. Which equation represents Sally’s total money after “w” weeks?
If you have “p” pencils and you give away 3 pencils, which equation shows the number of pencils you have left?
A store sells pencils for $2 each. How much would you pay for “n” pencils?
Mark has $25 and receives $3 for every chore he does. How much money will he have after completing “c” chores?
There are 10 apples in a basket. If “a” apples are taken out, how many apples will be left in the basket?
Emma has $12 and earns $2 for every task she completes. Which equation represents Emma’s total money after “t” tasks?
A school bus can carry 20 students. If “s” students are already on the bus, how many more students can fit on the bus?
Emily is organizing a bookshelf. If she already has “b” books and wants to add 5 more, which equation represents the total number of books on the shelf?
A farmer has 15 cows on a farm and buys “c” more cows. How many cows will the farmer have in total?
A toy store sells puzzles for $8 each. How much would you pay for “p” puzzles?
Anna and Ben put one car on the track (x + 1) and counted: 1 + 4 = 5. The equation became: 5 = 10. Oh no, it was not equal to 10 yet!
They tried again and put two cars on the track (x + 2) and counted: 2 + 4 = 6. The equation became: 6 = 10. It was still not equal to 10!
They continued this way, trying different numbers for “x” until they found the right number of cars to add to make the equation true. When they put 6 cars on the track (x + 6) and counted: 6 + 4 = 10, they finally had it! The equation became: 10 = 10. Hooray! They found that “x” was 6. That’s how they found out how many cars they needed.
Simply put, we use linear equations to solve different kinds of problems in math and real life. It’s like a magical tool that helps us find the missing pieces in the puzzle of numbers.