Question

Write an algebraic expression for the following phrases.

1. 34 more than a number __
2. twice a number minus 12 __
3. 16 less than a number __
4. a number increased by 45 __
5. the difference of 23 and a number __
6. decrease a number by 7 and multiply by 6 __
7. 4 tikes a number subtracted from 78 __
8. increase the product of a number and 4 by 10 __
9. the sum of 3 times a number and 2 __
10. a number times the difference of 13 and a number. __

Answer 1

1. x + 34

2. 2x - 12

3. x - 16

4. x + 45

5. 23 - x

6. 6(x - 7)

7. 78 - 4x

8. 4x + 10

9. 3x + 2

10. x(13 - x)

Explanation:

For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!

I hope this helped! :)