Literal Equations Word Problems

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Solve for t.

x = r + t

• t = x - r

• t = x + r

• t = xr

• t = ^x/_r

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5

• y = 2.50x + 3

• y = 2.50x 

• y = 3x + 2.50

Mr. W spends an extra 45 min in the school everyday. Click on the equation that shows how much extra time he spends in school based on the number of days, x.

• yx=45

• x=45y

• y=45x

• y+45x

Betty owes Maggie $50. Betty pays Maggie back $2 a day. Click on the equation showing the money that Betty still has to pay back.

• 50=2x

• y=2x-50

• y=50x-2

• 2=50x

The water level of a river is 34 feet and that it is receding (decreasing) at a rate of 0.5 foot per day.  Write an equation for the water level, L, after d days.

• L = 34 + 0.5d

• L = 34 - 0.5d

• L = 0.5 + 34d

• L = 0.5 - 34d

A plumber charges $25 for a service call plus $50 per hour of service.  Write an equation in slope-intercept form for the cost, C, after h hours of service.

• C = $75h

• C = $50 + $25h

• C = $50h - $25

• C = $25 + $50h

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

• y = $50x

• y = $20x + 30

• y = $30x + $20

• $30x + y = $20

• b = 3A - a - c
• b = -3A + a - c
• b = -3A - a - c 
• b = 2A - c