1. Translating Math and English
Answers are given here in the notes section. You may do just the translation or do the translation and solve. This depends on the focus and the ability of your students. Do NOT do all of these at one sitting. I only do about 4 at a time.
If students have had Hands-on-Equations training then this is a nice extension and practice of those skills. If they have not, they should use their knowledge of inverse operations to find the solutions.

2. Three times a number, increased by 1 is 25.
25- 1 = 24
24 / 3 = 8

3. If 3 is added to twice a number, the result is 17.
17 – 3 = 14
14 / 2 = 7
N = 7

4. When a number is increased by 8, the result is 13.
13 – 8 = 5
N = 5

5. Sally is 4 years older than Tim. Together, the sum of their ages is 20
Sally is 4 years older than Tim. Together, the sum of their ages is 20. How old is each?
T + T + 4 = 20
20 – 4 = 16
16 / 2 = 8
Tim is 8 and Sally is 12.

6. Dori used all of her seashells to decorate picture frames
Dori used all of her seashells to decorate picture frames. Each frame use 6 shells. How many picture frames did she decorate? Dori had 72 shells.
6 x S = 72
72 / 6 = f
72/ 6 = 12 frames

7. James is three times as old as Carmen
James is three times as old as Carmen. Together, their ages add up to 24. How old is each?
3C + c = 24
4C = 24
24 / 4 = 6
C = 6

8. What is a numerical expression for dividing a dozen into four groups?
12/4

9. What is a numerical expression for increasing a number five times then adding 3?
5 x n + 3

10. Four times a number, increased by 3 is the same as twice the number, increased by 9.
You may need to skip this one as it really needs the skill developed in Hands-on Equations to solve.
4N + 3 = 2N + 9
2N + 3 = 9
2N = 6
N = 3

11. Three times a number, increased by 7, gives the same result as four times the number, increased by 5.
You may need to skip this one as it really needs the skill developed in Hands-on Equations to solve.
3N + 7 = 4N + 5
7 = N + 5
2 = N

12. If 7 is added to twice a number, the result is the same as if 11 is added to the number itself.
You may need to skip this one as it really needs the skill developed in Hands-on Equations to solve.
7 + 2N = 11 + N
7 + N = 11
N = 4

13. 3 more than five times a number, is the same as 18 more than twice the number.
You may need to skip this one as it really needs the skill developed in Hands-on Equations to solve.
3 + 5N = N
5N = N
3N = 15
N = 5

14. Jim is 2 years older than 3 times his little brother, Tommy
Jim is 2 years older than 3 times his little brother, Tommy. Together their ages add up to 18. How old is each?
3T T = 18
4T = 16
T = 4
Jim is 14 and Tim is 4

15. John is 6 years older than Kathy
John is 6 years older than Kathy. Together, their ages equal four times Kathy’s age. How old is each?
K K = 4K
6 = 2K
3 = k
Kathy is 3 and John is 9.

16. Four times a number, diminished by 6, yields the same result as twice the same number, increased by 4.
4N – 6 = 2N + 4
2N – 6 = 4
2N = 10
N= 5