Solving Linear Equations in One Variable

Solving Linear Equations in One Variable

By Jimvileo Quesada

Multiple Choice

The sum of three consecutive multiples of 3 is 252. What is the greatest of the three numbers?

• 81

• 84

• 87

• 90

Multiple Choice

An item, originally priced at 595 pesos, is marked with a 25% discount. What is the sale price?

• 446.25 pesos

• 148.75 pesos

• 743.75 pesos

• 464.25 pesos

Multiple Choice

The length of a rectangle is 5 inches more than twice its width. If the perimeter of the rectangle is 70 inches, what is the length of the rectangle?

• 10 inches

• 25 inches

• 45 inches

• 50 inches

Multiple Choice

Conchita is 3 years older than Goryo. Four years from now, the sum of their ages will be 55. What is the present age of Conchita?

• 22

• 25

• 26

• 29

Multiple Choice

To make violet paint, a painter mixes red paint and blue paint in the ratio 4:3. If he will use 12 gallons of red paint, how much blue paint should he use?

• 18 gallons

• 16 gallons

• 9 gallons

• 6 gallons

Multiple Choice

Petra has 5 more 20-peso bills than 50-peso bills, which totals 1, 150 pesos. How many fifties does she have?

• 25

• 20

• 15

• 10

Multiple Choice

Alex can do a dynamic grading system in 10 days, while Franz can do the same job in 15 days. If both of them work together, how long will it take them to finish the job?

• 6 days

• 5 days

• 4 days

• 3 days

Multiple Choice

Two trains left the same station at the same time. One is traveling north at 55 mph, while the other train is traveling south at 60 mph. In how many hours will the trains be 345 miles apart?

• 2.5 hours

• 3.0 hours

• 3.5 hours

• 4.0 hours

Multiple Choice

Poncio invested his money at an account that pays 15% simple interest. If he earned an interest of 6000 pesos in two years, how much did he invest?

• 50, 000 pesos

• 40, 000 pesos

• 20, 000 pesos

• 10, 000 pesos

Open Ended

A truck and a car travel on the same route, the truck at 72 kph and the car at 80 kph. If the car leaves 1 hour after the truck, how long will it take the car to overtake the truck?

Open Ended

A roofer can put a new roof on a house three times faster than another. Working together, they can roof a house in 5 days. How long would it take the faster roofer to finish the job alone?

Open Ended

How many liters of  acid solution must be added to  liters of a  acid solution to get a solution that is  acid?

​References

​Fair, J. & Bragg, S. C. (1993). Algebra 1. New Jersey: Prentice Hall.

​

​Lial, M. L., Hornsby, J., & McGinnis, T. (2019). Introductory algebra, eleventh edition. Malaysia: Pearson Education

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​Swokowski, E. W. & Cole, J. A. (2017). Precalculus: Functions and graphs. Canada: Cengage Learning.