Graphing Systems of Equations

Michaela's mom is trying to decide between two plumber companies to fix her sink. The first company charges $50 for a service call, plus an additional $36 per hour for labor. The second company charges $35 for a service call, plus an additional $39 per hour of labor. Which is the correct system of equations for this situation?

• 36h + 50 = c

  39h + 35 = c

• 50h + 36 = c

  35h + 39 = c

• 50h + 36h = c

  35h + 39h = c

• 50h + 35 = c

  39h + 36 = c

Tags

CCSS.HSA.CED.A.3

At Wendy's, the cost of a Single hamburger and a Frosty is $4.50. The cost of 2 Single hamburgers and 3 Frosties is $10.50. Which system of equations matches this situation?

• h + f = 4.50

  3h + 2f = 10.50

• h + f = 10.50

  2h + 3f = 4.50

• h + f = 4.50

  2h + 3f = 10.50

• h + f = 10.50

  2h + 3f = 10.50

Tags

CCSS.HSA.CED.A.3

At Barnes and Noble, Maria bought a book and a CD that cost a total of $33. If the price of the book is $6 less than twice the cost of the CD, which system of equations matches the situation?

• b + c = 33

  b = 6 - 2c

• b + c = 33

  b = 2c - 6

• b + c = 33

  c = 2b - 6

• b + c = 33

  c = 6 - 2b

Tags

CCSS.HSA.CED.A.3

Cinthya and Mirta went shopping. Cinthya bought two scarves and three pairs of gloves for a total of $90. Mirta bought 3 scarves and one pair of gloves for a total of $65. Which system of equations matches this situation?

• 3s + 2g = 90

  3s + g = 65

• 2s + 3g = 65

  3s + g = 90

• 3s + 2g = 65

  3s + g = 90

• 2s + 3g = 90

  3s + g = 65

Tags

CCSS.HSA.CED.A.3

The price of a tv at Circuit City is $300 more than half the price of the same tv at Fry's Electronics. The difference in price between the system at Fry's and Circuit City is $150. Which system of equations matches this situation?

• c + 300 = 1/2f

  f - c = 150

• c = 1/2f + 300

  f - c = 150

• f = 1/2c + 300

  c - f = 150

• c = 300 - 1/2f

  c - f = 150

Tags

CCSS.HSA.CED.A.3

Pizza Hut sold a total of 125 supreme and cheese pizzas. Each supreme pizza sold for $18 and each cheese pizza sold for $12. They sold a total of $1250 worth of pizza. Which system of equations matches this situation?

• s + c = 1250

  18s + 12c = 125

• s + c = 125

  12s + 18c = 1250

• s + c = 125

  18s + 12c = 1250

• s + c = 1250

  12s + 18c = 125

Tags

CCSS.HSA.CED.A.3

The length of a rectangle is one fourth its width, and the perimeter is 48 inches. Which system of equations matches the situation?

• 2w + 2l = 48

  l = 1/4w

• w + l = 48

  l = 1/4w

• 2w + 2l = 48

  w = 1/4l

• w + l = 48

  w = 1/4l

Tags

CCSS.HSA.CED.A.3

Two friends, Rachel and Gaby, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Kendra's hair is already 15 centimeters long and grows at a constant rate of 3 centimeters per month. Lauren's hair is 20 centimeters and growing at a speed of 2 centimeters per month. Which system of equations matches this situation?

• l = 15m + 3

  l = 20m + 2

• l = 15 + 3m

  l = 20 + 2m

• l = 15m + 3m

  l = 20m + 2m

• l = 15 + 2

  l = 20 + 2

Tags

CCSS.8.EE.C.8C

Last month the basketball team ran the coordination course 7 times and the endurance course 9 times for a total of 21 miles. This month, they ran the coordination course 16 times and the endurance course 26 times for a total of 52 miles. Which system of equations models this situation?

• 9c + 7e = 21

  16c + 26e = 52

• 7c + 9e = 21

  16c + 26e = 52

• 7c + 9e = 52

  16c + 26e = 21

• 7c + 9e = 21

  16e + 26c = 52

Tags

CCSS.8.EE.C.8C

Last week Bob's taco stand sold 570 tacos and quesadillas. Tacos sell for $3 and Quesadillas sell for $5. They made a total of $2,114. Which system of equations models this situation?

• t + q = 570

  5t + 3q = 2114

• t + q = 2114

  3t + 5q = 570

• t + q = 2114

  5t + 3q = 570

• t + q = 570

  3t + 5q = 2114

Tags

CCSS.HSA.CED.A.3