Systems of Equations

Jane and Jim collect coins.

Jim has five more than twice the amount Jane has. They have 41 coins altogether.

How many coins does Jim have? How many coins does Jane have?

Write the answer as an ordered pair (Jane,Jim)

Susie and Katie received candies on Valentine's Day.

Susie received four less candies than Katie.

Together, they received 16 total candies.

How many candies did each of the girls receive?

Write the answer as an ordered pair (Katie,Susie).

The length of a rectangle is three times its width.

The perimeter is 64 feet. What are the dimensions of the rectangle?

Write the answer as an ordered pair (length,width).

The width of a rectangle is half its length. The perimeter is 36 inches.

What are the dimensions of the rectangle?

Write the answer as an ordered pair (length,width).

A piggy bank contains quarters and dimes. There are 30 coins in the jar, and the total value is $6.30. How many quarters and dimes are in the piggy bank? (HINT: Quarters are worth $0.25, and dimes are worth $0.10).

Write the answer as an ordered pair (dimes,quarters).

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12.

She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?

Write the answer as an ordered pair (pants,shirts).

Jeremy bought a bouquet of 12 flowers for his mom. Daisies were $3.50 each and lilies were $4 each.

He spent $44 total. How many daisies did Jeremy buy? How many lilies di Jeremy buy?

Write the answer as an ordered pair (daisies,lilies).

A plumber charges $20 an hour plus a $15 flat fee. Another plumber charges $18 an hour plus a $30 flat fee. After how many hours will the cost be the same?

Your next Algebra test has a mix of 20 problems. Some problems are worth 4 points and others are worth 6 points.

The test is worth 100 points total. How many of each type of problem are on the test?

Write the answer as an ordered pair (4 point, 6 point).

250 tickets were sold at Friday's basketball game, bringing in a total of $725.

General admission tickets were $5 and student tickets were $2.

How many student tickets were sold?