Solving Equations and Word Problems

Maria has 25 dollars. She has to buy a gallon of milk which costs $3.50. She wants to spend the rest of her money on cereal. If each box of cereal costs $4.50, how many can she purchase? Write the equation.

• 3.50+4.50x=25

• 3.50x+4.50=25

• 25-3.50x=4.50

• 4.50x-3.50=25

You are hosting a bake sale, but it isn't going well! You decide to reduce your prices by $0.75, and then you get 15 sales for a total of $33.75. What was your original price per item? Write the equation.

• 15p-0.75=33.75

• 15(p-0.75)=33.75

• 0.75p+15=33.75

• 33.75-0.75p=15

You are hosting a bake sale, but it isn't going well! You decide to reduce your prices by $0.75, and then you get 15 sales for a total of $33.75. What was your original price per item?

• $2.25

• $0.75

• $3.00

• $1.50

You and your friend are participating in the hot air balloon festival! Your balloon is currently 200 feet in the air, and descending at a rate of 3ft per sec. Your friend is 75 feet in the air, an ascending at a rate of 2ft per sec. After how many seconds will you both be at the same height? Write the equation.

• 200+3x=75-2x

• 200-3x=75+2x

• 200-3x=75-2x

• 200+3x=75+2x

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? 

• 14h = 112

• 14 / h = 112

• h + 14 = 112

• h - 14 = 112

Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?

• n + (3n - 4) = 100

• n - (3n - 4) = 100

• n + (4 - 3n) = 100

• 4 - 3n = 100

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sell our Whats-Its for $12 each. How many Whats-Its must we sell in order to break even? What is the expression for cost?

• 4000+5

• 4000x + 5

• 5x + 4000

• 4000x + 5x

We are going to manufacture Whats-Its. The Whats-It machine costs $4000.It also costs $5 for materials and labor for each Whats-It. We are planning to sellour Whats-Its for $12 each. How many Whats-Its must we sell in order to breakeven?

• 571.42

• 572

• 570. 63

• 571

Brian and Amy invest $2700 to start a hair cutting business. Each hair cut costs them $1.50 (supplies). They charge their customer $15 for each cut.

How many hair cuts until they breakeven?

• 200 hair cuts

• 22 hair cuts

• 2700 hair cuts

• 15

At a local ballpark a team charges $10 per ticket. The team must pay its players $4000. It costs the owners $6 for each souvenir they give away. How many tickets must be sold to break even.

• 1000 tickets

• 10,000 tickets

• 600 tickets

• 660 tickets