Question

Write each statement in algebraic expression and equation.

1. A number p increased by three times the number q

2. The sum of twice a number r and 37

3. The product of the sum and difference of m and n

4. The square of a number less than two

5. One-third of a number c increased by the square of a number d

6. The product of 10 and a number is 50

7. A number divided by 6 is 15

8. If 3 is subtracted from 5 times a number, the result is 21

9. A number added to twice the sum of the number and 8 is 20

10. If a number is divided by 4 and the quotient is added to 12, the result is 7​​

Answer 1

So, I'll show you how the seventh one would be written by explaining it. Then you can use that to see if you can do the other ones.

So, we have "A number divided by 6 is 15"

If we look at this description, the word divided is in it, which implies that this equation that we're about to make is going to be a division equation.

If we look at the description again, we can conclude that the number we get from a number divided by 6 is indeed 15. Now, we aren't instructed to solve the equation, so trying to do that after we make the equation would just be adding on excess things.

We would first start off by figuring out what to replace the unknown number with. In math, geometry, or any kind of math in general, when we have an unknown number, we replace it with a variable to show that we don't yet know what the number is.

Answer 2

A common example of a variable is x, but any letter of the alphabet could be used depending on how many unknown numbers there are in an algebraic equation.
So your equation for the seventh question would be \[x \div 6 =15\]

Answer 3

If you need any further help just feel free to directly message me and I'll guide you through whatever you are stuck with!