Word Problems Involving Linear Equations in One Variable

Word Problems Involving Linear Equations in One Variable

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1. Twice the quantity of five less twice the unknown is the same as five less than the same unknown. What is the unknown?

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2. The sum of the digits of a 2-digit number is 10. If the digits are interchanged, the new number multiplied by five gives four more than the original number. What is the original number?

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3. A single mother left her 5-year-old child in the care of her parents to work abroad and give him a better life. Distraught of his mother leaving, he wailed and clung to his mother. Thus, she told her child that she will get back when he will be half her age. If the mother is currently 35 years old, how many years will it take for them to meet again?

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4. The length of a rectangle is 4 units more than the width, and the perimeter is 34 units more than the length. What is the rectangle's area?

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5. A train leaves Little Rock at 11AM and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 95 kilometers per hour. At what time will it take for them to be 315 kilometers apart?

Multiple Choice

6. You went to the mechanic shop for a monthly fix at 1:30PM and said you will come back by 4PM. Two mechanics were working on your car. One mechanic, Kate, can complete the given job in three hours, but the new kid, Jess that it will take him four hours to do the same job. They worked together for the first one hour, but then the Kate left to help another mechanic on a different job. If after an hour, Kate came back to help Jess, will they be able to finish fixing your car by the time you come back?

• Yes

• No

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7. How many gallons of milk containing 1% butterfat must be mixed with 30 gallons of milk containing 5% butterfat to obtain a mixture containing 2% butterfat?