Evaluating Equations Word Problems

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5,050 is collected. If 1000 adults attended the fair, how many children attended?

•  4050 children

•  1050 children

•  700 children

•  366 children

At a pet store, it costs $5 to wash a cat, and $7.50 to wash a dog. Last week, the store made $60 from washing cats and dogs. What equation would show this situation?

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They spent $12,000 one day.  Which equation could be used to find the number of bears t the company has made that day?

• 1500 + 8t = 12000

• 12000 + 8t = 1500

• 1500 - 8t = 12000

• 8t - 12000 = 1500

For a field trip 4 students rode in cars, and the rest filled nine buses. 472 students went on the trip. Which equation models the situation?

• 4x = 472

• 9x = 472

• 4 + 9x = 472

• 4x + 9 = 472

You bought a magazine for $5 and four erasers. You spent a total of $29. Which equation could you solve to find out how much each eraser cost?

• 5 + x = 29

• 5 + 4x = 29

• 5x = 29

• 29 = 5x + 4

Todd caught three times as many fish this year than last year. He caught 63 fish by the end of the year. Which algebraic equation represents how many fish he caught last year?

• 3f = 63

• 63 - f = 3

• 3 - f = 63

• 3 + f = 63

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 that costs $4.50 per box. Which equation can be used to find out how many boxes she can purchase?

• 3.50x + 4.50 = 25

• 3.50x + 25 = 4.50

• 4.50x + 3.50 = 25

• 4.50x + 25 = 3.50

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, which equation can be solved to find how many cabins need to be rented?

• 120 - 8c = 472

• 120 + 8c = 472

• 120c - 8 = 472

• 120c + 8 = 472

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  Which equation can be used to find how many miles Mr. Lewis lives from the airport?

• 3x + 30 = 1.50

• 1.50x + 3 = 30

• 30x + 1.50 = 3

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290