I am having trouble with this math question
"Write an equation that you could solve using these steps:
Add 7 to both sides. Then, divide both sides by 4.
Explain how you know your answer is right."
I don't want you to answer it for me, just explain how to do it because I am confused.
"Write an equation that you could solve using these steps:
Add 7 to both sides. Then, divide both sides by 4.
Explain how you know your answer is right."
I don't want you to answer it for me, just explain how to do it because I am confused.
-
This is a very open-ended math question, and the numbers you could use are infinite.
Let's take this as an example: 4x - 7 = 9.
You'll add 7 to both sides, this cancels out the 7 on the left side because -7 + 7 = 0, and then the number on the right side is 16 because 9 + 7 = 16. So now your equation looks like 4x = 16.
Now divide both sides by 4. On the left side, 4 divided by 4 is 1, so you have 1x, or just x. On the right side, 16 divided by 4 is 4.
Now if you want to prove your answer is right, you'll take what you got as an answer and plug it in as x in your original equation. In my example, the answer was 4, so I'll put that in for x which gives me the equation 4(4) - 7 = 9.
Now we'll do some basic math. 4(4) is 16, so we have 16 - 7 = 9. Do the subtraction on the left and you get 9 = 9, which is a true statement so you know your answer of x = 4 is true.
You can do this with a number of values if you so choose. Let me know if you have any further questions!
Let's take this as an example: 4x - 7 = 9.
You'll add 7 to both sides, this cancels out the 7 on the left side because -7 + 7 = 0, and then the number on the right side is 16 because 9 + 7 = 16. So now your equation looks like 4x = 16.
Now divide both sides by 4. On the left side, 4 divided by 4 is 1, so you have 1x, or just x. On the right side, 16 divided by 4 is 4.
Now if you want to prove your answer is right, you'll take what you got as an answer and plug it in as x in your original equation. In my example, the answer was 4, so I'll put that in for x which gives me the equation 4(4) - 7 = 9.
Now we'll do some basic math. 4(4) is 16, so we have 16 - 7 = 9. Do the subtraction on the left and you get 9 = 9, which is a true statement so you know your answer of x = 4 is true.
You can do this with a number of values if you so choose. Let me know if you have any further questions!
-
Start with an equation which is the solution
to the left side: x
to the right side: whatever you want x to be, for example zero.
x = 0
Now reverse the steps
Multiply both sides by 4. Then, substract 7 from both sides.
4x = 0
4x -7 = -7
to the left side: x
to the right side: whatever you want x to be, for example zero.
x = 0
Now reverse the steps
Multiply both sides by 4. Then, substract 7 from both sides.
4x = 0
4x -7 = -7