Algebraic Equation Concepts

The video tutorial covers solving an equation by first simplifying it using the distributive property, then solving it step by step. The teacher explains the process of long division as a method to solve the equation without a calculator, concluding with the final result of x equals 17.

What is the first step in solving an algebraic equation?

• Add numbers on both sides

• Multiply both sides by zero

• Subtract numbers from both sides

• Simplify the equation

Why is it important to remove parentheses in an equation?

• To simplify the equation

• To add more variables

• To make the equation longer

• To make it more complex

What property is used to eliminate parentheses in an equation?

• Identity Property

• Commutative Property

• Distributive Property

• Associative Property

What is the purpose of using the distributive property in algebra?

• To eliminate variables

• To add more variables

• To simplify expressions

• To make equations more complex

What operation is performed after applying the distributive property?

• Dividing terms on both sides

• Multiplying terms on both sides

• Adding terms on both sides

• Subtracting terms on both sides

What is the purpose of adding or subtracting terms on both sides of an equation?

• To make it more complex

• To make the equation longer

• To isolate the variable

• To add more variables

What is the result of -243 + 90?

• 133

• 163

• 153

• 143

What is the coefficient of x in the equation after simplification?

• 10

• 9

• 11

• 8

What is the next step after isolating the variable?

• Multiply both sides by zero

• Subtract the variable

• Divide both sides by the coefficient of the variable

• Add more variables

What is a method to perform division without a calculator?

• Using a calculator

• Using a phone

• Using a computer

• Using long division