Real-Life Scenarios: Create Equations & Identify Variables

A store sells pencils for $0.50 each. If you buy x pencils, how much do you spend? Write an equation to represent the total cost.

• total cost = 0.50 - x

• total cost = x + 0.50

• total cost = 0.50 / x

• total cost = 0.50 * x

Maria has 3 more than twice the number of apples that John has. If John has y apples, write an equation to express the number of apples Maria has.

• 3y + 2

• 2y + 3

• y + 3

• 2y - 3

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you drive m miles, write an equation for the total cost of the rental.

• Total Cost = 0.15m

• Total Cost = 20 + 0.10m

• Total Cost = 20 + 0.15m

• Total Cost = 20 - 0.15m

Liam is 4 years older than his sister. If his sister is s years old, create an equation to express Liam's age.

• Liam's age = s + 4

• Liam's age = s - 4

• Liam's age = s + 2

• Liam's age = s * 4

A recipe requires 2 cups of flour for every 3 cups of sugar. If you use f cups of flour, how many cups of sugar do you need? Write an equation to represent this relationship.

• x = (2/3)f

• x = (3/2)f

• x = 1.5f

• x = 2f

The sum of a number x and 12 is equal to 30. Write an equation to find the value of x.

• x = 18

• x = 12

• x = 24

• x = 6

A swimming pool is being filled with water at a rate of 5 gallons per minute. If the pool starts with p gallons of water, write an equation to represent the total amount of water after t minutes.

• W(t) = p - 5t

• W(t) = p + 10t

• W(t) = 5t

• W(t) = p + 5t

A book costs $15, and you have a budget of b dollars. Write an inequality to show how many books you can buy without exceeding your budget.

• 15x <= b

• x <= b/15

• b <= 15x + 5

• 15x < b

The perimeter of a rectangle is 50 meters. If the length is l meters and the width is w meters, write an equation for the perimeter in terms of l and w.

• l + w = 50

• 2l + w = 50

• l + 2w = 50

• 2l + 2w = 50

A farmer has chickens and cows. If the number of chickens is c and the number of cows is 2c, write an equation to express the total number of animals on the farm.

• c - 2c

• 3c

• c + 2c

• 2c + 2c