Choose 2 of the following equations and create a real-life situation that can be represented by it. Try to have fun with this! :)
x + 6 = 15
-3 + x = 10
5x = 20
x/4 = 8
and put it like a 6th grader wrote it
Equation 1 (x + 6 = 15): Emily has 6 stickers and she wants to collect a total of 15 stickers. Let's say x represents the number of stickers Emily still needs to collect. So this equation is like saying "The number of stickers Emily has (x) plus the 6 stickers she already has is equal to the total number of stickers she wants (15)."
Equation 2 (-3 + x = 10): Johnny wants to save $10 to buy a new toy, but he already has $3. Let's say x represents the amount of money Johnny still needs to save up. This equation can be written like this: "The amount of money Johnny already has (-3) plus the amount of money he still needs to save up (x) is equal to the total amount he wants to save up ($10)."
Please note that the other two equations (5x = 20 and x/4 = 8) haven't been chosen, as requested.
not a paragraph
Sure, here's a simplified version of the explanations above in a more "6th grade-friendly" language:
Equation 1 (x + 6 = 15): Emily has some stickers (x) and when she adds 6 more stickers, she will have a total of 15 stickers.
Equation 2 (-3 + x = 10): Johnny already has 3 dollars and if he adds some more money (x), he will end up with a total of 10 dollars.
Remember, both situations involve someone having some amount of something and adding or subtracting from it to reach a desired total.
same with this
You have been given the following equation to solve as a challenge by your friend. Create a list of steps that you could follow to find the solution. Make sure to include all steps in the correct order.
5(x+3)–7(x–4)=38
Write a real-life situation to fit the following equation. Then, solve the equation in two different ways. Show all the steps. Finally, choose which solution method you liked best and explain your reason.
8(x+9)=144
Step-by-step solution for the equation 8(x+9)=144:
Solution Method 1 - Distributive Property:
1. Start by applying the distributive property, which means multiplying the number outside the parentheses (8) by each term inside the parentheses.
8(x+9) = 144
8 * x + 8 * 9 = 144
8x + 72 = 144
2. Next, we need to isolate the variable term. In this case, we isolate the 8x term by subtracting 72 from both sides of the equation.
8x + 72 - 72 = 144 - 72
8x = 72
3. The variable is being multiplied by 8, so to isolate the variable x, we need to divide both sides of the equation by 8.
8x/8 = 72/8
x = 9
Solution Method 2 - Simplification:
1. Start by simplifying the equation by multiplying the numbers.
8(x+9) = 144
8x + 72 = 144
2. Next, isolate the variable term by subtracting 72 from both sides.
8x + 72 - 72 = 144 - 72
8x = 72
3. Finally, divide both sides of the equation by 8 to solve for x.
8x/8 = 72/8
x = 9
For the real-life situation, let's consider the equation 8(x+9)=144 to represent the number of cupcakes needed for a school bake sale. The variable x will represent the number of cupcakes each student needs, and the number 9 represents additional cupcakes required from a different student. The equation states that when you multiply the number of cupcakes per student (x) by 8, then add 72 cupcakes from another student, it should equal 144, the total number of cupcakes needed for the bake sale.
As for which solution method is preferred, it would depend on personal preference. Both methods lead to the same solution (x = 9). The distributive property method may be helpful in distributing the multiplication evenly, while the simplification method might be more straightforward for some people. It's a matter of understanding the steps and selecting the method that is most comfortable for you.
6th grade way and less than a paragraph
Sure! Here's a simplified explanation in a more "6th grade-friendly" language:
First, let's think of a real-life situation for the equation 8(x+9)=144. Imagine you are organizing a school carnival, and you need 144 tickets for all the rides. Each student will receive 8 tickets, and there are 9 extra tickets for teachers. The equation says that when you multiply the number of students' tickets (x) by 8 and add the 9 extra tickets, it should equal 144.
To solve the equation, you can use either the distributive property or simplification method. Both methods give the same answer, which is x = 9. The choice of method depends on what you find easier or more comfortable to understand and apply.