Solving Basic Algebraic Equations

The video tutorial explains how to solve linear equations by isolating the variable using inverse operations. It covers two examples: solving x - 9 = 15 and x + 7 = 42. The tutorial emphasizes the addition property of equality and verifies solutions by substitution.

What is the first step in solving the equation x - 9 = 15?

• Multiply both sides by 9

• Add 9 to both sides

• Subtract 15 from both sides

• Divide both sides by x

What does the addition property of equality allow you to do?

• Multiply both sides by the same number

• Add or subtract the same value to both sides

• Divide both sides by the same number

• Change the variable on one side

What is the solution to the equation x - 9 = 15?

• x = 15

• x = 24

• x = 0

• x = 9

How can you verify the solution to an equation?

• By multiplying the solution by the original equation

• By adding the solution to the original equation

• By dividing the solution by the original equation

• By checking if the left side equals the right side after substitution

What is the first step in solving the equation x + 7 = 42?

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 7

• Divide both sides by x

What is the inverse operation of addition?

• Subtraction

• Multiplication

• Division

• Exponentiation

What is the solution to the equation x + 7 = 42?

• x = 42

• x = 35

• x = 0

• x = 7

How can you verify the solution to the equation x + 7 = 42?

• By checking if 42 - 7 equals 35

• By checking if 35 - 7 equals 42

• By checking if 35 + 7 equals 42

• By checking if 42 + 7 equals 35

What is the result of simplifying 7 - 7?

• 7

• 0

• 14

• 1

What does it mean for a solution to satisfy an equation?

• The solution makes the left side equal to the right side

• The solution makes the left side greater than the right side

• The solution makes the left side not equal to the right side

• The solution makes the left side less than the right side