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?

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)