Algebra
Word Problems: Systems
Word Problems Practice: Money problems.
Write a system of equations and solve:
1. Anna has a pocket of dimes and quarters. If she has 10 coins worth $1.45,
how many of her coins are quarters?
2. Popsicles cost $0.80, and ice-cream cups cost $0.65. If you purchased 9
items for $6.15, how many of the items were popsicles.
Word Problems Practice: Sum/Difference
Write a system of equations and solve:
1. The sum of two integers is 19 and their difference is 10. What is the smaller
of the two integers?
2. If I add Mark’s age to Tammy’s age, I get 39. If I subtract Mark’s age from
Tammy’s age, I get negative 7. What will I get if I multiply Mark’s age by
Tammy’s?
Word Problems Practice
Write a system of equations and solve:
1. Mr. Batterson ordered pizzas for the team. Medium pizzas have 8 slices and
large pizzas have 10. If there are 13 pizzas and 108 slices, how many
large pizza slices are there?
2. At a toy store, the children’s department has bicycles and tricycles. There
are 50 total, and 111 wheels. How many bicycles are there?
Word Problems Practice: Time
Write a system of equations and solve:
1. In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years
older than Joey. How old is Joey right now?
2. A bucket is full of red marbles and white marbles. There are twice as many
white marbles as red ones. If I add seven white marbles, there will be
three times as many white marbles as red ones. How many marbles were
in the bucket before the white marbles were added?