Linear equations and systems of equations word problems

-12(x - 1) = -3(x - 1)

• 10
• 1
• 14
• 23

Tags

CCSS.8.EE.C.7A

-10x - 135 = 117 + 2x

• 25
• -18
• -21
• 22

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve.

-5(x+7)=-5x+35

• No Solution

• Identity

• -35

• 7

Tags

CCSS.8.EE.C.7A

Solve. Use a T-chart.

6(4x+2)= 3(8x+4)

• many solutions

• No Solution

• 12

• 6

Tags

CCSS.8.EE.C.7A

Solve. -x -11= 2x+4

• -5

• 10

• -15

• 15

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  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

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

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables? 

• t: # of tacos
  m: # of glasses of milk
• t: Cost of each taco
  m: Cost of each glass of milk
• t: total cost
  m: # of food items
• t: Cost of each glass of milk
  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

Two hikers are walking along a marked trail. The first hiker starts at a point 6 mi from the beginning of the trail and walks with a pace of 4 mi per hr. At the same time, a second hiker starts 1 mi from the beginning and walks with a pace of 3 mi per hr. What might the system look like?

• y = 4x + 6

  y = x + 3

• y = 6x +4

  y = 3x + 1

• y = 6x + 4

  y = x + 3

• y = 4x + 6

  y = 3x + 1

Tags

CCSS.8.EE.C.8C

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.HSA.CED.A.3