Multi-Step Equation Problem

A rental car agency charges $30.00 per day plus $0.15 per mile. Another agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? (Select the correct equation AND solution)

• 30 + 0.15m = 36 + 0.10m

• 30m + 0.15 = 36m + 0.10

• 30.15m = 36.10m

• m = 120 miles

• m = 12 miles

Nick purchased 50 cookies and eats 2 cookies each day. Trevor has 27 cookies and eats one cookie each day. After how many days will they have eaten the same number of cookies? (HINT: I would write this one down!)

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

• 2

• -2

• 8

• 8

• 0

• 1

• -1

• 4

• –6x + 1 = 45

• –3(3x) = 45

• –6x – 3 = 45

• –6x = 44

• x=3

• x=-7

• x=0

• No Solution

• m=3

• m=-4

• m=-1

• All real numbers

• 1.5

• 6

• -6

• -1.5