Manipulating Formulas Worksheet

Manipulating Formulas

Read each question carefully and follow the instructions to manipulate the given formulas. Show all your work.

1. To isolate a variable in an equation, we perform the   operation to both sides.

2. If a variable is multiplied by a number, we can isolate it by   both sides by that number.

3. The area of a rectangle can be found using the formula A = l × w. If we know the area and the length, we can find the width by dividing the area by the  .

4. The formula for the perimeter of a square is P = 4s, where P is the perimeter and s is the side length. If the perimeter of a square is 24 cm, what is the length of one side?

5. The formula for distance is d = r × t, where d is distance, r is rate, and t is time. If a car travels 180 miles at a rate of 60 miles per hour, how long did the trip take?

6. In the formula V = lwh, if you want to find 'h', you should divide V by (lw).

7. To solve for 'x' in the equation x + 5 = 12, you would subtract 5 from both sides.

8. Which operation would you use to solve for 'y' in the equation 3y = 21?

9. The formula for the area of a triangle is A = (1/2)bh. If A = 30 and b = 10, what is h?

10. The image below shows a balance scale. If the equation is x + 3 = 7, draw what you would do to both sides of the scale to solve for x.

11. The formula for converting Celsius to Fahrenheit is F = (9/5)C + 32. If the temperature is 20 degrees Celsius, what is the temperature in Fahrenheit?