Isolating Variables in Equations

This video tutorial explains how to rearrange formulas to isolate specific variables, similar to solving equations. It provides step-by-step examples, including making x and b the subject of equations, using subtraction, division, and multiplication. The tutorial also covers expanding brackets to isolate variables and concludes with a summary and call to action.

What is the first step in rearranging a formula to isolate a specific variable?

• Divide both sides by a constant

• Add a constant to both sides

• Multiply both sides by a coefficient

• Rearrange the terms to isolate the variable

To make 'x' the subject, what should you do after subtracting 4 from both sides?

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 4 to both sides

How do you express division in a more common way when rearranging formulas?

• Using a subtraction sign

• Using brackets

• Using a fraction line

• Using a multiplication sign

What is the final form of the equation when 'x' is isolated?

• x = y / 3 - 4

• x = (y - 4) / 3

• x = y - 4 + 3

• x = (y - 4) * 3

What is the common mistake to avoid when dividing both sides by a number?

• Forgetting to divide the entire side

• Multiplying instead of dividing

• Adding instead of subtracting

• Using brackets incorrectly

Why is it important to swap the sides of the equation at the end?

• To simplify the equation

• To ensure the variable is on the left

• To make the equation look nicer

• To eliminate fractions

What is the benefit of using a fraction line instead of division?

• It makes calculations easier

• It simplifies the equation

• It eliminates the need for brackets

• It looks more professional

What is the first step to isolate 'b' in the equation a + 5 = b/3?

• Divide both sides by 3

• Multiply both sides by 3

• Add 5 to both sides

• Subtract 5 from both sides

After isolating 'b', what is the final form of the equation?

• b = 3a + 15

• b = a + 5

• b = 3(a + 5)

• b = a/3 + 5

What is the first step in solving an equation with a fraction?

• Divide both sides by the numerator

• Subtract a constant from both sides

• Multiply both sides by the denominator

• Add a constant to both sides