PC - Writing Equations for Word Problems

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

• 800 + 5x = 4000

• 800x + 5 = 4000

• 800x+ 5x = 4000

• 800 + 5 = 4000

Three desks and a bookcase together weigh 157 pounds. The bookcase weighs 34 pounds. Which equation could help you find out how much each desk weighs?

• 34 + 3 = 157
• 34x + 3 = 157
• 3x + 34 = 157
• x + 34 = 157

Oliver would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how could I find out how many hours he must work in order to buy the skates?

• 40 + 7.50x = 115

• 40x + 7.50 = 115

• 40 + 7.50 = 115

• 40 + 17.50x = 115

A bathroom needs repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could you find out the hours of labor required?

• 98x + 45 = 458

• 98 + 45x = 458

• 45 + 98 = 458

• 45x - 98 = 458

The 30 members of a choir are trying to raise $1500 to cover travel costs to a singing camp. They have already raised $600. Which equation would you solve to find the amount each member can raise in order to meet the goal?

• 30x + 600 = 1500
• 30x - 600 = 1500
• x + 600 = 1500
• 30x = 1500

The space club is having some posters printed. The printer charges $250 (one-time fee) plus $2 per poster. Which equation models how to find how many posters they can purchase with a $1000 budget?

• 250x + 2 = 1000
• 1000 + 2x = 250
• 250 - 2x = 1000
• 2x + 250 = 1000

The perimeter of a rectangle is 70 yards.  The width is five yards more than twice the height.  Which equation could be used to find the height?

• 2(2h + 5) = 70

• h + 2h + 5 = 70

• 2(h + 5) = 70

• 6h + 10 = 70

The perimeter of a rectangle is 140 feet.  The height is 21 feet.  Which equation could be used to find the width?

• w + 21 + 21 = 140

• 2w + 21 = 140

• w + w + 21 + 21 = 140

• w + 21 = 140

Justin is purchasing a new iPhone.  The sales clerk says that if he pays $100 now his monthly payments will be $25 and his total cost will be $600.  Which equation can be used to determine how many months Justin will be paying for his phone? 

• 25x + 100 = 600
• 25x - 100 = 600 
• 600 - 100x = 25
• 600 + 25x = 100 

A gymnastics center charges a $60 registration fee and $15 per class. Lucy registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Lucy signed up for?  

• 60 - 15x = 210 

• 15x - 60 = 210

• 15x + 60 = 210 

• 210 + 15x = 60