Free Printable Unit 4 HW #4: Systems Applications

Worksheets

Unit 4 HW #4: Systems Applications

Total questions: 12

Worksheet time: 3600secs

Name

Class

Date

On Monday Mr. Beignet bought 10 coffees and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of each item?

10c + 5d = 14.25

5c + 10d = 16.50

10c + 5d = 16.50

5c + 10d = 14.25

c + d = 10

5c + 10d = 16.50

c + d = 5

5c + 10d = 16.50

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. After solving the system below, Alexandra gets a solution of (45,90)

3x + 2y = 315

2x + 4y = 450

What does the solution (45,90) mean?

Hair dyes take Alexandra 45 minutes & haircuts take 90 minutes.

Haircuts take Alexandra 45 minutes & hair dyes take 90 minutes.

Haircuts cost $45 & hair dyes cost $90.

Hair dyes cost $45 & haircuts cost $90.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

x + y = 1550
y = 4x

x + y = 1550
y = x + 4

y - x = 1550
y = 4x

y = 1550 + x
y = x + 4

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

Adult $13
Child $5

Adult $10
Child $6

Adult $8
Child $16

Adult $12
Child $13

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

Sugar Cookies $5
Oatmeal Cookies $3

Sugar Cookies $4
Oatmeal Cookies $8

Sugar Cookies $2
Oatmeal Cookies $6

Sugar Cookies $3
Oatmeal Cookies $6

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

(35, 52)

(18, 69)

( 52, 35)

(61, 26)

The difference of a and b is 3. The sum of the variables is 13. Find the numbers.

a = 7
b = 10

a = 8
b = 5

a = 10
b = 13

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many nickels and dimes did Dennis earn?

40 nickels, 40 dimes

52 nickels, 28 dimes

28 nickels, 52 dimes

30 nickels, 50 dimes

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

$10

$15

$20

10.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

20 Multiple Choice

10 Multiple CHoice

15 Multiple Choice

5 multiple choice

11.

A local fish market is selling fish and lobsters by the pound. The fish costs $5.25 a pound, while the lobster costs $10.50 a pound. The fish market sells 28.5 pounds and makes $215.25?

The market sold 16 pounds of fish and 12.5 pounds of lobster.

The market sold 18 pounds of fish and 10.5 pounds of lobster.

The market sold 12.5 pounds of fish and 16 pounds of lobster.

The market sold 10.5 pounds of fish and 18 pounds of lobster.

12.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. How many students were on each van and each bus?

Van 43
Bus 14

Van 11
Bus 21

Van 14
Bus 43

Van 17
Bus 45

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Unit 4 HW #4: Systems Applications

Total questions: 12

Worksheet time: 3600secs

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