Elimination Word Problems

Which format would you use to set up your equations for this word problem:

• y= __x + ___

• __x + __y = __

Tags

CCSS.HSA.CED.A.3

Which format would you use to set up your equations for this word problem:

• y= __x + ___

• __x + __y = __

Tags

CCSS.HSA.CED.A.3

Which format would you use to set up your equations for this word problem:

• y= __x + ___

• __x + __y = __

Tags

CCSS.8.EE.C.8C

Which format would you use to set up your equations for this word problem:

• y= __x + ___

• __x + __y = __

Tags

CCSS.6.EE.C.9

Four times a number minus three times another number is thirteen. The sum of the two numbers is twelve. What are the two numbers? Use a system of equations to solve the problem.

• 3 and 9

• -3 and 15

• 5 and 7

• -5 and 17

Tags

CCSS.8.EE.C.8C

Bailey and Chloe went to the fair. Bailey bought two hotdogs and a soda for $5.50. Chloe bought a hotdog and two sodas for $5.00. Find the cost of a hotdog and the cost of a soda. Use a system of equations to solve the problem.

• hotdog: $2.50

  soda: $1.00

• hotdog: $1.00

  soda: $2.50

• hotdog: $1.50

  soda: $2.00

• hotdog: $2.00

  soda: $1.50

Tags

CCSS.8.EE.C.8C

On Monday Joe bought 10 cups of coffee 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 the coffee?

• 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

Tags

CCSS.8.EE.C.8C

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.HSA.CED.A.3

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. To solve, I graphed: x + y = 21 6x + 4y = 104 I got an intersection point at (10,11). What does that mean in context of the problem?

• There are 10 adults and 11 children.

• There are 11 adults and 10 children.

• The adults are $10 and the children are $11.

• There are 104 adults and 21 children.

Tags

CCSS.8.EE.C.8C