Solving Basic Algebraic Equations

This video tutorial covers solving basic algebraic equations with one unknown. It explains how to solve equations involving addition, subtraction, multiplication, and division by isolating the unknown variable. The key rule is to perform the same operation on both sides of the equation to maintain equality. The video provides examples and step-by-step instructions to help learners understand the process of solving these equations.

What is the main goal when solving basic algebraic equations?

• To make both sides of the equation zero

• To find the value of the unknown variable

• To eliminate all numbers from the equation

• To convert the equation into a fraction

What is the first step in solving an equation with one unknown variable?

• Add numbers to both sides

• Identify the unknown variable

• Subtract numbers from both sides

• Multiply both sides by the same number

In the equation x + 3 = 10, what operation would you perform to isolate x?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

Why is it important to perform the same operation on both sides of an equation?

• To change the variable

• To keep the equation balanced

• To make the equation more complex

• To simplify the equation

What is the key rule to remember when rearranging equations?

• Always add to both sides

• Multiply both sides by the same number

• Always subtract from both sides

• Perform the same operation on both sides

In the equation x + 3 = 10, what is the value of x?

• x = 13

• x = 3

• x = 7

• x = 10

What operation is performed to isolate x in the equation x + 3 = 10?

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

In the equation 14 = a - 5, what operation would you perform to solve for a?

• Subtract 5 from both sides

• Add 5 to both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the result of adding 5 to both sides of the equation 14 = a - 5?

• a = 9

• a = 19

• a = 14

• a = 5

In the equation 14 = a - 5, what is the value of a?

• a = 5

• a = 9

• a = 14

• a = 19