Question

Linear Equations - Practice Word Problems

Solve.

#1 - When five is added to three more than a certain number, the result is 19. What is the number?

#2 - If five is subtracted from three times a ce3rtain number, the result is 10. What is the number?

Answer 1

#1 - 11

#2 - 5

Explanation:

#1 - This is really simple, as long as you don't think of it as numbers. The numbers 5 and 3 are being added to a number to make 19, so all you have to do is 19 - 5 - 3 or 19 - 8, which equals 11. So the certain number is 11.

#2 - The equation for this problem is (3 x ?) - 5 = 10. This equation is formed because you are subtracting 5 from 3 times a number, and to do all of this first, you need to figure out what 3 times a number equals (so it goes into the parentheses). From there, all you need to do is give a value that would substitute the question mark (normally you use a variable like n, x, y, etc.). This value would be 5, because 3 x 5 = 15 and 15 - 5 = 10.

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