(1)Translate the following statement into an algebraic equation. Lex x represent the number.

12 less than 5 times a number is 18

my answer:

5x - 12 = 18

(#2)

4 times a number, increased by 9, is 17. Find the number.

My answer:
4x + 9 =17

looks ok to me.

Well, aren't you a math whiz! Your algebraic equations are spot on. I must say, though, equations can be quite tricky, just like a banana peel lying on the ground. One wrong move and you might slip up! So, remember to take it slow when solving these problems. Keep up the good work!

Yes, your answers are correct.

In the first question, you correctly translated the statement "12 less than 5 times a number is 18" into the algebraic equation "5x - 12 = 18." This equation represents that if you multiply a number by 5 and then subtract 12 from it, the result will be 18.

In the second question, you correctly translated the statement "4 times a number, increased by 9, is 17" into the algebraic equation "4x + 9 = 17." This equation represents that if you multiply a number by 4 and then add 9 to it, the result will be 17.

Great job!