Writing and Solving One-Step Equations in Math

This lesson covers writing and solving one-step multiplication and division equations using unit analysis. It includes examples of converting units, such as temperature changes and descent rates, and solving problems involving stock value decreases. The lesson emphasizes the use of inverse operations and reciprocals to isolate variables and solve equations effectively.

What is unit analysis used for?

• To calculate the area of a rectangle

• To measure the length of a rope

• To convert units and solve problems involving different units

• To analyze the units of a product

If a rope is 3.5 feet long, how many inches is it?

• 48 inches

• 42 inches

• 36 inches

• 30 inches

What does a negative number represent in temperature changes?

• A temperature above freezing

• A constant temperature

• An increase in temperature

• A decrease in temperature

What is the reciprocal of 2/3?

• 3/2

• 2/3

• 1/2

• 3/1

How many minutes will it take for the temperature to decrease by 3 degrees Fahrenheit if it decreases by 2/3 of a degree per hour?

• 270 minutes

• 240 minutes

• 300 minutes

• 180 minutes

How long will it take for a hot air balloon to descend by 219 feet at a rate of 18.25 feet per minute?

• 12 minutes

• 15 minutes

• 10 minutes

• 18 minutes

If a stock decreases in value at a rate of $1.40 per hour, what is the total decrease in value after 4.5 hours?

• $6.30

• $5.60

• $8.10

• $7.20

What is the inverse operation of multiplication?

• Multiplication

• Addition

• Subtraction

• Division

How do you isolate a variable in a one-step multiplication equation?

• By adding the same number to both sides

• By subtracting the same number from both sides

• By dividing both sides by the coefficient

• By multiplying both sides by the coefficient

What is the next topic after one-step equations?

• Two-step equations

• Complex equations

• Graphing equations

• Three-step equations