Manipulating Formulas Worksheet
Grade 6 math worksheet on manipulating formulas, including solving for variables and understanding algebraic relationships.
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Standards
Topics
Manipulating Formulas
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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).
True
False
7. To solve for 'x' in the equation x + 5 = 12, you would subtract 5 from both sides.
True
False
8. Which operation would you use to solve for 'y' in the equation 3y = 21?
Addition
Subtraction
Multiplication
Division
9. The formula for the area of a triangle is A = (1/2)bh. If A = 30 and b = 10, what is h?
3
6
9
12
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?