Creating Equations and Inequalities

Mr. Roast buys 2 lb of turkey and 12 lb of ham.  The total cost is $30.  The ham costs $2 per lb.  
Create an equation to find the cost of 1 lb of turkey.

• 2y + 12x = Romero

• 2x + 12(2) = 30

• 30 + 2x = 12(2)

• 12(2) = 2x

Ted bought a dolphin poster for $12.  He now has $5.  Write and solve an equation to find out how much money Ted took to the aquarium.

• m - 12 = 5

• m - 5 = 12

• m + 5 = 12

• m + 12 = 5

Six more than 52 equals some number

• 6 + 52 = x

• 6 x 52 = x

• 6(52)= x

• x + 6 = 52

Lisa went to the mall to do her back-to-school shopping.  When she returned, she noticed that the number of shirts (s) she purchased was 3 more than twice the number of pants (p) she bought.  What is an equation that can be used to represent the number of shirts Lisa purchased? 

• p=3 + 2s

• s + 2p =3

• s = 3 + 2p

• 2p = s + 3

Sandra makes necklaces and sells them at a school craft fair. She uses the equation P = 7.5n – (2.25n + 15) to determine her total profit at the fair when n necklaces are sold. Based on this equation, how much does she charge for each necklace?

• $2.25

• $7.50

• $15.00

• $17.25

It takes Matt m months to save $1,000. Write an equation that models the average number of dollars, x, Matt saves each month.

• x * m = 1,000

• 1,000 = m

• 1,000m = x

• 1,000 = x

Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit. He sells each widget for $25. Write his revenue as an expression.

• R = $25

• R = $25 + w

• R = w

• R = $25w

Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit. It costs $10 in labor and materials to make each of his widgets. His rent each month for his factory is $4000. Express the cost as an equation.

• C = 10w

• C = 10w + 4,000

• C = 4,000

• C = 4,000w + 10

Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit. It costs $10 in labor and materials to make each of his widgets. His rent each month for his factory is $4000. He sells each widget for $25. What is the simplified version of his profit equation expressed as, P = 25w - (10w + 4000)?

• P = 15w - 4000

• P = 25w - 4000

• P = 35w + 4000

• P = 15w

Every hour 52 people throw a nickel into the fountain.
How many hours will it take before there is more than 350 nickels in the fountain? 

• 5 hours

• 6 hours

• 7 hours

• 4 hours