Resources

Resources

Solve a system of equations using any method: word problems

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

A camp counselor for a summer day camp sometimes buys lunch for her campers at a nearby fast food restaurant. On Monday, she purchased

1

chicken nugget kid meal, for a total of

\$5

. On Thursday, she spent

\$29

3

hamburger kid meals and

4

chicken nugget kid meals. How much does each type of meal cost?

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Each hamburger meal costs

\$

_____, and each chicken nugget meal costs

\$

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

The postal service offers flat-rate shipping for priority mail in special boxes. Today, Irma shipped

1

large box, which cost her

\$14

to ship. Meanwhile, Britney shipped

6

small boxes and

7

large boxes, and paid

\$140

. How much does it cost to ship these two sizes of box?

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\$

_____ for a small box and

\$

_____ for a large box.

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

At a candy store, Miranda bought

2

kilograms of jelly beans and

1

kilogram of gummy worms for

\$13

. Meanwhile, Vicky bought

1

kilogram of gummy worms for

\$5

. How much does the candy cost?

\newline

A kilogram of jelly beans costs

\$

_____, and a kilogram of gummy worms costs

\$

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

Substitute teachers with Newport School District get paid by the day, although subs with teaching credentials earn a different amount than subs without credentials. Yesterday,

1

credentialed sub taught in the district. That cost the district

\$89

9

non-credentialed subs and

11

credentialed subs taught, receiving

\$1,528

from the district. How much do subs get paid?

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Subs without credentials get paid

\_\_\_\_

per day, and subs with credentials get paid

\_\_\_\_

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

Aisha is a salon owner. Yesterday, she did

2

haircuts and colored the hair of

5

clients, charging a total of

\$519

. Today, she did

1

haircut, charging a total of

\$47

. How much does Aisha charge for her services?

\newline

\$

\_\_\_\_

for a haircut and

\$

\_\_\_\_

for a coloring.

Write a system of equations to describe the situation below, solve using an augmented matrix, and fill in the blanks.

\newline

Britney is a costume designer for the local children's theater company. Yesterday, she sewed

5

female costumes and

1

male costume, which used

45

meters of fabric. Today, she sewed

1

male costume, which used a total of

5

meters. How many meters of fabric does each type of costume require?

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Each female costume requires

\_\_\_\_

meters of fabric, and every male costume requires

\_\_\_\_

Multiplying \& Dividing Rational Numbers

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Application Practice

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Solve each problem below, showing all work.

\newline

1

\$ 4.55

from her friend on

5

different days to buy lunch. If she makes

\$ 15

/hour babysitting and babysits for

3

hours, how much money will Tia have after paying her friend back the money she owes?

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

The members of a cooking club are making cakes, which they will sell at a street fair for

\$23

apiece. It cost

\$20

for a booth at the fair, and the ingredients for each cake cost

\$3

. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How many cakes will they have sold? How much will the sales and expenditures be?

\newline

Once the members of the club have sold _____ cakes, they will break even, with sales and expenditures of

\$

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

Two students in Mr. Terry's class, Britney and Francesca, have been assigned a workbook to complete at their own pace. They get together at Britney's house after school to complete as many pages as they can. Britney has already completed

13

pages and will continue working at a rate of

11

pages per hour. Francesca has completed

27

pages and can work at a rate of

9

pages per hour. Eventually, the two students will be working on the same page. How long will that take? How many pages will each of them have completed?

\newline

\_

hours, Britney and Francesca will have each completed

\_

pages in their workbooks.

The principal's new car cost

\$ 35,000

, but in three years it will only be worth

\$ 21,494

. Write an equation for this situation and explain what each part of the equation represents in the context of the problem. What is the annual rate of depreciation?

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

Mr. Mitchell is contemplating which chauffeured car service to take to the airport. The first costs

\$29

\$1

per kilometer. The second costs

\$7

\$2

per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?

\newline

For a driving distance of

\text{km}

, the total fare is

\$\square

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

\newline

Mr. Mitchell is contemplating which chauffeured car service to take to the airport. The first costs

\$29

\$1

per kilometer. The second costs

\$7

\$2

per kilometer. For a certain driving distance, the two companies charge the same total fare. What is the distance? What is the total fare?