Solving Linear Equations and Operations

The video tutorial teaches how to solve radical equations by eliminating square roots through squaring both sides of the equation. It provides two examples, demonstrating the process of isolating variables and solving for x using the 'variable house' and 'number house' method. The tutorial emphasizes the importance of performing operations on both sides of the equation to maintain equality.

What is the first step in solving a radical equation?

• Divide both sides by the same number

• Subtract the same number from both sides

• Raise both sides to the power of 2

• Add the same number to both sides

What is the result of raising the square root of 2x plus 5 to the power of 2?

• x + 5

• 2x + 5

• 4x + 10

• 2x^2 + 25

In the variable house and number house method, which term needs to leave the variable house first?

• 5

• 3

• 9x

• 2x

What is the opposite operation of adding 5 in the context of solving the equation?

• Dividing by 5

• Subtracting 5

• Multiplying by 5

• Adding 3

After subtracting 5 from both sides, what is the resulting equation?

• 2x = 9x + 2

• 2x = 9x + 5

• 2x = 9x - 8

• 2x = 9x - 3

What is the next step after obtaining 2x = 9x - 8?

• Subtract 9x from both sides

• Multiply both sides by 9

• Divide both sides by 9

• Add 9x to both sides

What is the value of x after solving the equation 2x - 9x = -8?

• -7/8

• 7/8

• 8/7

• -8/7

In the second example, what is the result of raising both sides to the power of 2?

• 4x + 8 = 100

• 4x + 8 = 10

• 2x + 4 = 100

• 2x + 4 = 10

What is the next step after obtaining 4x + 8 = 100?

• Divide both sides by 8

• Multiply both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

What is the value of x after solving the equation 4x = 92?

• 92

• 23

• 4

• 8