Question

Translate each sentence into an equation!!!

1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.

Answer 1

Answers:
1. 6x + 7 = 17
2. 5x -4=11
3. 6(x-2) = 24
4. 6x-3= 2x+ 5
5. (-3x) + 2 = 11

Answer 2

Answers:

1. 6x + 7 = 17

2. 5x - 4 = 11

3. 6(x - 2) = 24

4. 6x - 3 = 2x + 5

5. (-3x) + 2 = 11

Explanation:

Since your only translating the sentence and not actually solving, we don't need to determine a specific number. So in that case, whenever the question says "a number," use a variable such as x.

1. Seven more would mean +7, so your adding 7 to x. X is multiplied by 6, so your answer is 6x + 7 = 17.

2. X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11

3. X-2 is being multiplied by 6, so indicate that in parenthesis. You should then get 6(x - 2) = 24

4. This one is a little different, since it doesn't equal a direct number. X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5. Put it all together and you get 6x - 3 = 2x + 5

5. The word product means multiplication so you know that -3 is being multiplied with X. Again, indicate this in parenthesis. You should get (-3x) + 2 = 11

I hope this helps you! Have a good day/night! :)