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)