Applications of Translating & Solving Expressions/Eqn's

Translate the expression into an equation: 18 less than a number is 19.

Solve:

The cost of renting a jet ski is $40 per day plus $50 per hour of use. How many hours was the jet ski rented if the total coast was $390?

Translate 4 more than x equals 7 into an equation and solve. 

• x+4=7
  x = 11
• x+4=7
  x = 3
• x-4=7
  x = 11
• x-4=7
  x=3

An amusement park charges $10 at the gate to enter and $5 for each ride. If (r) is the number of rides ridden, and (t) represents the total amount spent, find which equation models this situation.

• r = 10t - 5

• r = 5t

• t = 5r + 10

• t = 10t + 5d

Translate into an expression:
4 less than two times a number 

• 4-2x
• 4<2x
• 2x-4
• 2-4

Translate into an expression:
two more than three times x 

• 3x-2
• 2>3x
• 2+3x
• 2(3x)

Each month Kaden's phone charges a flat fee of $12 plus $0.05 per minute. His bill for last month was $18. How many minutes did Luca talk on the phone last month?

• 350

• 600

• 100

• 120

Sophie has $14 and plans to save $5 each week until she has $64 she needs for a new jacket. What is the equation to solve for Sophie to know how many weeks she will need to save?

• 64 = 14x + 5

• 5x + 64 = 14

• 5x + 14 = 64

• 5x - 14 = 64

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. What is the equation for the pricing for UPS?

• 7x + 0.20 = y

• 7 + 0.20x = y

• 5x + 0.30 = y

• 5 + 0.30x = y

Renting boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hours did you rent the boat?
What is the correct equation to solve?

• 22 + 10h = 98
• 22 + 10 = 98h
• 98 + 10 = 22h
• 22h + 10 = 98