Equations from Words

Twice a number is 18. What is the number?

• 36

• 6

• 20

• 9

Four less than a number is twenty.

What equation represents the word problem?

• 4-x=20

• 20x=4

• x-4=20

• 4x=20

Four less than a number is twenty. What is the number?

• 24

• 5

• 10

• 16

The sum of a number and twenty-five is fifty-three. What is the number?

• 78

• 28

• 76

• 22

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Create the equation that would represent this equation using slope-intercept form.

Mathematical Equivalence

ON

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Jeremy is in a bike race against a professional bicyclist. He is given a 3 mile head start and he rides his bike at a constant rate of 15 miles per hour. Which linear equation represents Jeremy's situation?

• y = 15x + 3

• y = 3x + 15

• y = 12x

• y = 18x + 15

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Malinda drains her 900 gallon swimming pool at a rate of 50 gallons of water per hour. Which linear equation represents this situation?

• y = -850x + 50

• y = -50x + 900

• y = -900x + 50

• y = -950x + 50