Module 7.3 Systems of Equations Word Problem Practice

Module 7.3 Word Problem Practice

By William Polascak

Multiple Choice

4. A group of friends takes a day-long tubing trip down a river. The company that offers the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a “cooler” tube, which is used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes.

Which of the following shows the possible variables defined properly?

• p = # of person tubes

  c = # of cooler tube

• P = # of people tubing

  t = # of tubes needed

• p = # of people tubing

  c = total cost of the trip

• t = # of tubes

  h = # of hours

How to type in your answer

When typing in 2 equations, do NOT use spaces but put them both in ( ) and type them in ax+by=c form!

Example:

(2x+3y=7)(4x+3y=12)​

Some text here about the topic of discussion

Fill in the Blank

4. A group of friends takes a day-long tubing trip down a river. The company that offers the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a “cooler” tube, which is used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes.

Type in the 2 equations using p and c for your variables.

Fill in the Blank

4. A group of friends takes a day-long tubing trip down a river. The company that offers the tubing trip charges $15 to rent a tube for a person to use and $7.50 to rent a “cooler” tube, which is used to carry food and water in a cooler. The friends spend $360 to rent a total of 26 tubes.

Using the equations 15p+7.50c=360 and p+c=26, how many "cooler" tubes did they rent?

Multiple Choice

5. Darlene is making a quilt and she uses two types of fabric. The Sateen fabric costs $6 per yard and the Quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric store.

Which of the following shows the possible variables defined properly?

• f = types of fabric

  s = name of store

• s = cost of sateen fabric

  q = cost of quilting fabric

• s = yards of sateen fabric

  q = yards of quilting fabric

• y = yards of fabric

  c = total cost

How to type in your answer

When typing in 2 equations, do NOT use spaces but put them both in ( ) and type them in ax+by=c form!

Example:

(2x+3y=7)(4x+3y=12)​

Some text here about the topic of discussion

Fill in the Blank

5. Darlene is making a quilt and she uses two types of fabric. The Sateen fabric costs $6 per yard and the Quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric store.

Type in the 2 equations using s and q for your variables.

Fill in the Blank

5. Darlene is making a quilt and she uses two types of fabric. The Sateen fabric costs $6 per yard and the Quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric store.

Using the equations 6s + 4q = 76 and s + q = 16, how many yards of quilting fabric did she buy?

Multiple Choice

6. A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189.

Which of the following shows the possible variables defined properly?

• s = cost per soccer ball

  s = cost per soccer bag

• x = # of soccer balls

  y = # of soccer bags

• s = cost per soccer ball

  b = cost per bag

• x = # of items

  y = total cost

How to type in your answer

When typing in 2 equations, do NOT use spaces but put them both in ( ) and type them in ax+by=c form!

Example:

(2x+3y=7)(4x+3y=12)​

Some text here about the topic of discussion

Fill in the Blank

6. A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189.

Type in the 2 equations using s and b for your variables.

Fill in the Blank

6. A sports equipment store is having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccer ball bags for $155. Another soccer coach purchases 12 soccer balls and 3 soccer ball bags for $189.

Using the equations 10x+2y=155 and 12x+3y=189, how much is each soccer bag.