ACT Math Algebra Word Problems

Front

Sarah is 7 years older than twice the age of her little brother. If Sarah is 21 years old, how old is her brother?

Back

7 years old

Front

The area of a rectangular garden is 6 square meters. The length of the garden is 5 meters longer than the width. What are the dimensions of the garden?

Back

Width: 1 meter, Length: 6 meters

Front

At a school dance, tickets are sold at two prices: $3 for students and $5 for adults. One night, a total of 200 tickets were sold, and $800 was raised. How many student tickets and how many adult tickets were sold?

Back

100 student tickets, 100 adult tickets

Front

A restaurant charges $2.50 per burger and $1.25 for a side of fries. If you order 3 burgers, how much will your total bill be?

Back

$7.50

Front

A movie theater sells adult tickets for $10 and child tickets for $6. On a particular day, the theater sold a total of 200 tickets and earned $1,600. How many adult tickets were sold?

Back

100 adult tickets

Front

A recipe calls for a certain ratio of flour to sugar. If the amount of flour needed is directly proportional to the amount of sugar used, and flour:sugar=2:1, how many cups of flour are needed for 5 cups of sugar?

Back

10 cups of flour

Front

Anna is making a batch of cookies. She needs 5 times as much sugar as flour, but she also needs to subtract 3 tablespoons of sugar. If she starts with 4 cups of flour, how much sugar does she need for the recipe?

Back

17 cups of sugar

Front

Maria and John both have collections of marbles. Maria has 36 marbles and John has 60 marbles. They want to divide their marbles into groups with the same number of marbles in each group, without any marbles left over. What is the greatest number of marbles that can be in each group?

Back

12 marbles