Solving Algebraic Equations Word Problems

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Tank 1 currently has 40 gallons of water and is filling at a rate of 1.5 gallons per minute. Tank 2 has 220 gallons of water and is draining at a rate of 3 gallons per minute. After how many minutes will the two tanks have the same amount of water? Write the equation.

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 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

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

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• x/2 + 4 = 12

• x/2 - 4 = 12

• 12 - 4 = x

• 12 - 4 = -x/2

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

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