The ability to rearrange the maths formula is an essential skill that can help you to solve mathematical problems more efficiently and effectively.
Here are some steps of how to rearrange the formulas:
- Start with a simple equation: Begin by using a simple equation to demonstrate the process of rearranging formulas. For example, use the equation y = mx + b
- Identify the variable to solve for: for example, if you want to solve for x, you would rearrange the equation to isolate x on one side of the equation.
- Use inverse operations: To rearrange the equation, use inverse operations to move the variables to one side of the equation and the constants to the other side. For example, if you want to solve for x in the equation
y = mx + b, you would subtract b from both sides of the equation to get y – b = mx. Then, divide both sides by m to get x = (y – b)/m. - Check your answer: It’s important to check your answer by plugging it back into the original equation to make ensure it works.
- Practice with more complex equations: Once you understand the process of rearranging equations with a simple equation, you can move on to more complex equations.
Examples:
- Rearrange the following equation to solve for “x”:
2x + 5 = 11
Solution:
2x + 5 – 5 = 11 – 5 (subtract 5 from both sides)
2x = 6 (simplify)
x = 3 (divide both sides by 2) - Rearrange the following equation to solve for “y”:
3y – 7 = 8
Solution:
3y – 7 + 7 = 8 + 7 (add 7 to both sides)
3y = 15 (simplify)
y = 5 (divide both sides by 3) - Rearrange the following equation to solve for “a”:
4a/3 + 2 = 10
Solution:
4a/3 + 2 – 2 = 10 – 2 (subtract 2 from both sides)
4a/3 = 8 (simplify)
4a = 24 (multiply both sides by 3/4)
a = 6 (divide both sides by 4) - Rearrange the following equation to solve for “b”:
2b/5 – 3 = 1
Solution:
2b/5 – 3 + 3 = 1 + 3 (add 3 to both sides)
2b/5 = 4 (simplify)
2b = 20 (multiply both sides by 5/2)
b = 10 (divide both sides by 2) - Rearrange the following equation to solve for “c”:
7c – 2 = 29
Solution: 7c – 2 + 2 = 29 + 2 (add 2 to both sides)
7c = 31 (simplify)
c = 31/7 (divide both sides by 7)