Name:______

Date:______

**Translating algebraic expressions/equations**

**Translate each sentence into an equation.**

1. Two added to three times a number m is the same as 18.

2. Twice *a increased by the cube of a equals b*.

3. Seven less than the sum of p and q is as much as six.

4. Four times the sum of f and g is identical to six times g.

**Translate each formula.**

5. The perimeter P of a square equals four times the length of a side s.

6. The area A of a square is the length of a side s squared.

7. The perimeter P of a triangle is equal to the sum of the lengths of sides a,b, and c.

8. The volume of a rectangular prism equals the product of the length l, the width w, and the height h.

**Translate each equation into a verbal sentence.**

9. g+10=3g

10. 2p+4q=20

11. 4a+b=9a

12. 8-6x=4+2x

13. 12f+g=f-5

**For exercises 14-16, use the following information.**

Deanna and Pietra each go for walks around a lake a few times per week. Last week Deanna walked 7 miles more than Pietra.

14. If p represents the number of miles Pietra walked, write an equation that represents the total number of miles T the two girls walked.

15. If Pietra walked 9 miles during the week, how many miles did Deanna walk?

16. If Pietra walked 11 miles during the week, how many miles did the two girls walk together?

**Creating your own problems**

1. Write a problem based on the given information.

p=cost of dinner

.15p= cost of a 15% tip

p+.015p=23

2. Write a problem based on the given information.

c= cost per pound of plain coffee beans

c+3=cost per pound of flavored coffee beans

2c+(c+3)=21

3. Write a problem about yourself using a variable and algebraic translation words. The problem must be at least 2 sentences long. (see problem 14-16 for guidance)