Writing Equations from Word Problems

4x + 15 = 6(x − 3)

4(x + 15) = 6x − 3

4x + 15 = 6x − 3

4x + 15 = 3 − 6x

5(27 - x) = 9 + 4x

27 - 5x = 4(9 + x)

27 - 5x = 4x + 9

5x - 27 = 9 + 4x

m + 23 = m + 15

m + 23 = m² + 15

m + 23 = 2m + 15

m + 23 = 2(m + 15)

Calculators cost $40 each at Tech Central. How many calculators can Mrs. Robinson buy for her class with $1,000 if the tax on each calculator is 30¢?

Ivan deposits $1,000 in an account that earns interest at a rate of 30¢ per $1,000 per year. If he withdraws $40 every year, after how many years will his account be empty?

Hyun owes Pablo $1,000, and his debt increases by 30¢ each day. If he saves $40 per day, after how many days will he be able to pay off his debt?

Ada plans to give to charity $300 of every $1,000 she raises at a fundraiser. If she raises only $40, how much will she give to charity?

Fernando can swim 4 meters per minute, and Jose can swim 4.5 meters per minute. If they start swimming northward from the same location at the sametime, after how many minutes will Jose be 2 meters ahead of Fernando?

A certain number of square tiles with sides of length 4.5 inches are used to cover Ronnie's bedroom wall. If the same number of square tiles with sides of length 4 inches are used instead, 2 square inches would be left uncovered. How many tiles with sides of length 4.5 inches cover Ronnie's wall?

Marco spends the same amount on movies every week. When the rental per movie is reduced from $4.50 to $4, he can rent 2 extra movies with his usual amount of money. How many movies per week does Marco usually rent?

When the people at a party share several boxes of pizza evenly, each gets 4.5 pieces. If there had been 2 boxes fewer, each person would have gotten just 4 pieces. How many people are at the party?

Sasha bought 6 yards of material. She wants to cut it into 2 pieces so that the difference between the lengths of the pieces will be 1.5 yards. What would be the length, in yards, of one of the pieces?

A container with 6 liters of water starts leaking into a bucket that already has 1.5 liters of water. How many liters of water will have leaked when the containers have the same amount of water?

Sue had 2 identical pieces of material. She cut off 1.5 feet from one and attached it to the other to create a 6-foot curtain. What was the length, in feet, of each piece of material?

Which number on a number line has the property that the distance between the number and 1.5 is the same as the distance between the number's opposite and 6?