Solving Systems Problem Solving

Shanelle ordered 4 bagels and 3 muffins and paid $10.86. Chris ordered 4 bagels and 6 muffins and paid $14.16. What is the cost of one bagel?

• $1.10

• $1.89

• $3.30

• $7.56

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?

• $5

• $10

• $15

• $20

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

Write two equations that you could use to solve the following problem. Trey's online music club charges a monthly fee of $20 plus $0.80 per song downloaded. Deb's club charges a monthly fee of $21 plus $0.60 per song. For what number of songs will the monthy charge be the same.

• 20 = .80x
  21 = .60x

• y = 20x - 0.80
  y = 21x - 0.60

• y = .60x + 20
  y = .80x + 21

• y = .80x + 20
  y = .60x + 21

Mary wants to multiply a equation by -3 to use the elimination method. What would the equation look like after she multiplies?
2x + 2y = 6

• -3x + -3y = 6

• -6x + -6y = 6

• -6x + -6y = -18

• -6x + 2y = 18

Logan asked his 20 coworkers whether they own a car or a truck. There were 6 more car owners than truck owners.  How many people owned a car?   

• 7 people

• 9 people

• 11 people

• 13 people

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination

4x-6y= -6

-2x-12y= -12

• (0,1)

• (1,0)

• (1,1)

• (0, 2)

Solve by elimination 
2x+9y= -7 
6x-3y= 9 

• (-1, -1) 

• (2,-1)

• (1,1)

• (1,-1)

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

• (-3, -2)

• (1.5, 2)

• (3, 0)

• (3, 2)