Solving Linear Equations Steps

The video tutorial explains how to rearrange equations to make X the subject. It covers solving equations with letters instead of numbers using standard techniques. Examples include solving ax + b = c, (x - p)/a = d, and factorizing when X appears multiple times. The tutorial also addresses rearranging equations when X terms are on different sides, emphasizing the use of inverse functions and factorization.

What is the primary goal when rearranging an equation to make X the subject?

• To factorize all terms

• To simplify the equation to a single number

• To isolate X on one side of the equation

• To eliminate all variables

In the equation ax + b = c, what is the first step to solve for X?

• Subtract b from both sides

• Multiply both sides by a

• Divide both sides by c

• Add b to both sides

After subtracting b from both sides in ax + b = c, what is the next step?

• Subtract c

• Multiply by a

• Divide by a

• Add c

When rearranging x - p/a = d, what operation should be performed first?

• Divide by a

• Subtract d

• Multiply by a

• Add p

In the equation x - p/a = d, what is the final step to solve for X?

• Divide by d

• Multiply by d

• Subtract p

• Add p

What is factorization used for in equations?

• To combine like terms

• To simplify equations with multiple X terms

• To eliminate constants

• To solve quadratic equations

When X appears more than once on the same side, what is the first step?

• Multiply all terms by X

• Subtract X terms

• Factor out the common X

• Add all X terms

In the equation jx - qx = p, what should be done first?

• Add qx to both sides

• Subtract qx from both sides

• Factor out X

• Divide by p

After factorizing jx - qx = p, what is the next step?

• Multiply by j - q

• Divide by j - q

• Subtract j from q

• Add j and q

What is the final step in solving an equation where X terms are on different sides?

• Subtract all terms from one side

• Factorize and divide by the coefficient

• Add all terms to one side

• Multiply all terms by X