Algebraic Phrases and Word Problems

Twice a number is 24.

• 2n = 24

• 2/n = 24

• 2 + n = 24

• 2 - n = 24

Translate this sentence into an equation.

72 is the product of 8 and Steve's age.

Use the variable h to represent Steve's age.

• 72 = 8 + h

• 72 = 8h

• 72 = 8 - h

• 72 = 8/h

Translate this phrase into an algebraic expression.
24 more than Vivian's test score. 
Use d to represent Vivian's test score.

• 24d

• d - 24

• d + 24

• d/24

Five less than twice a number is equivalent to 47. 

• 5 - 2x = 47 

• 2x - 5 = 47 

• 5x - 2 = 47 

• 2 - 5x = 47 

3 W = 12

• w= 3

• w = 5

• w = 4

Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page? What are the important parts of this problem that can help you write an algebraic expression?

• 60 photos

• This is an algebra problem

• The phrase, "divided them evenly" lets me know which operation to use.

• Her name is Rhonda

• p stands for the pages

Rhonda was organizing photos in a photo album. She took 60 photos and divided them evenly among p pages. Which algebraic expression represents the number of photos on each page?

• p / 60

• 60 / p

• 60 + p

• 60p

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group. What are the important parts of this problem that can help you write an algebraic expression?

• The aquarium is a fun place to go.

• Tickets cost $27 per person

• n stands for the number of people in the group

• I am trying to find the total cost of tickets for the whole group

• This is an algebra problem.

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of tickets for a group of people. Let n represent the number of people in the group.

• 27 + n

• 27n

• 27/n

• 27 - n

Kelly has some money she has already saved. After mowing two lawns on Saturday, she adds $40 to her savings. How much money has Kelly saved altogether? Let s represent the amount of money she already has in savings. What information is needed in order to help write an algebraic expression?

• s stands for the amount of money she already saved.

• Kelly likes to mow lawns

• The words "she adds" lets me know to write a + sign.

• She added $40 to her savings.

• Kelly worked on Saturday.