Classwork: 6-5 Writing System of Equations

Jacob bought some tickets to see his favorite singer.  He bought some adult tickets and some children’s tickets, for a total of 9 tickets.  The adult tickets cost $10 per ticket, and the children’s tickets cost $8 per ticket.  He spent a total of $76. Write a system of equations for this situation?

• a+c=9
  10a+8c=76

• a+c=76
  10a+8c=9

• 10a+8c=76
  10a+8c=9

• a+c=76
  a+c=9

Tags

CCSS.HSA.CED.A.3

Sophia’s school took a field trip.  A total of 21 vehicles were needed for the trip.  Some students took the bus, and some students car-pooled.  There were 30 people on each bus and 4 people in each car.  318 people altogether attended the trip.  Which system of equation fits this situation?

• b+c=21
  30b+4c=30

• 30b+4c=21
  30b+4c=318

• b+c=318
  30b+4c=21

• b+c=21
  30b+4c=318

Tags

CCSS.HSA.CED.A.3

Ethan’s football team scored a total of 35 separate times this season, with a mix of touchdowns and field goals.  Each touchdown is worth 7 points, and each field goal is worth 3 points. The team scored a total of 193 points this season. What is the system of equations in this situation?

• 7t+3f=193
  t+f=35

• 7t+3f=35
  t+f=193

• 7t+3f=193
  7t+3f=35

• t+f=35
  7t+3f=35

Tags

CCSS.8.EE.C.8C

Emma went to the movie theater for her birthday.  A mix of adults and children attended, making a total of 19 people.  Each adult ticket was $9 and each child’s ticket was $5.50.  The total cost for the party was $150. What is the system of equations in this situation?

• a+c=19
  a+5.5c=150

• a+c=19
  9a+5.5c=150

• 9a+5.5c=19
  9a+5.5c=150

• a+c=150
  9a+5.5c=19

Tags

CCSS.HSA.CED.A.3

Olivia’s family drove to Disney Land for spring break.  Her mom and dad shared the driving duties for a total of 14 hours.  Her mom drove 65 miles per hour, and her dad drove 60 miles per hour.  They drove a total of 895 miles. What system of equations fits this situation?

• 65m+60d=14
  65m+60d=895

• m+d=895
  65m+60d=14

• m+d=14
  65m+60d=895

• m+d=14
  65m+60d=14

Tags

CCSS.HSA.CED.A.3

William bought some tickets to see his favorite singer.  He bought some adult tickets and some children’s tickets, for a total of 15 tickets.  The adult tickets cost $30 per ticket, and the children’s tickets cost $20 per ticket.  He spent a total of $270. What is the system of equations to this situation?

• a+c=15
  a+c=270

• a+c=15
  30a+20c=270

• a+c=270
  30a+20c=270

• 30a+20c=15
  30a+20c=270

Tags

CCSS.HSA.CED.A.3

Ava’s school took a field trip.  A total of 32 vehicles were needed for the trip.  Some students took the bus, and some students car-pooled.  There were 27 people on each bus and 3 people in each car.  408 people altogether attended the trip. What system of equations best fit this situation?

• b+c=32
  27b+3c=32

• 27b+3c=32
  27b+3c=408

• b+c=32
  27b+3c=408

• b+c=408
  27b+3c=408

Tags

CCSS.HSA.CED.A.3

Liam’s football team scored a total of 43 separate times this season, with a mix of touchdowns and field goals.  Each touchdown is worth 7 points, and each field goal is worth 3 points.  If the team scored a total of 301 points this season, what would be the best choice for system of equations for this situation?

• t+f=301
  7t+3f=301

• t+f=43
  7t+3f=301

• t+f=43
  7t+3f=43

• 7t+3f=43
  7t+3f=301

Tags

CCSS.8.EE.C.8C

Emily went to the movie theater for her birthday.  A mix of adults and children attended, making a total of 22 people.  Each adult ticket was $9 and each child’s ticket was $5.50.  If the total cost for the party was $125.50, what is the system of equations that best fit the situation?

• a+c=22
  9a+5.50c=125.50

• a+c=22
  9a+5.50c=22

• a+c=125.50
  9a+5.50c=125.50

• 9a+5.50c=22
  9a+5.50c=125.50

Tags

CCSS.8.EE.C.8C

Michael’s class held a food drive for the holidays.  There are a total of 29 students in his class.  On average, each boy and each girl brought in 3 cans of food apiece.  If the class brought in a total of 87 cans of food, how many boys and how many girls are in the class?

• b+g=29
  3b+3g=29

• b+g=29
  3b+3g=87

• 3b+3g=29
  3b+3g=87

• b+g=87
  3b+3g=87

Tags

CCSS.8.EE.C.8C