Linear Equations Word Problems

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Tickets to the theater cost $20 in advance and $25 at the door. Total ticket sales last night were $1,050. Which equation matches the given situation?

• 20x + 25y = 1,050

• 20x + 1,050y = 25

• 20x - 25y = 1,050

• 1,050x + 25y = 20

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Sam's piggy bank contains nickels and dimes. The total amount of money in his bank is $4.50. Which equation represents the given situation?

• 5x + 10y = 4.50

• .05x + .10y = 4.50

• .50x + .10y = 4.50

• 5x + 4.50y = 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Blue toy cars cost $1 each and red toy cars cost $1.50 each. Mark spent $10 on toy cars. Which equation represents the given situation?

• 1.50x + 10y = 1

• 10x + 1.50y = 1

• 1x + 10y = 1.50

• 1x + 1.50y = 10

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Richard ordered 3 burgers and 2 orders of fries for himself and his friends. His order cost $12.75. Which equation represents the given situation?

• 3x + 12.75y = 2

• 3x + 2 = 12.75y

• 3x + 2y = 12.75

• 3x - 2y = 12.75

Tags

CCSS.HSA.CED.A.2

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Use your equation to find the altitude of the plane after 5 minutes.

• 20,000 feet after 5 minutes
• 40,000 feet after 5 minutes
• 148,000 feet after 5 minutes

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 

• C = 5h + 3
• C = 3h + 5
• H = 5c + 3
• H = 3c + 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. 

• y = 20 + 30x
• y = 30 + 20x
• y = 50x
• y = 60x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping
• The cost will decrease by $1.40 per topping
• The cost will increase by $1.90 per topping
• The cost will decrease by $1.90 per topping 

Tags

CCSS.8.EE.B.5