Solving and Verifying Equations

The video tutorial explains how to solve an equation by isolating the variable. It begins with simplifying the equation through distribution and combining like terms. The tutorial then demonstrates isolating the variable by adding and subtracting terms on both sides. Finally, it shows how to solve for the variable by dividing and verifies the solution by substituting it back into the original equation.

What is the first step in solving an equation to find the value of the variable?

• Isolate the variable on one side

• Divide both sides by a constant

• Add a constant to both sides

• Multiply both sides by a constant

When distributing a negative number across parentheses, what happens to the signs of the terms inside?

• They all become positive

• They all become negative

• They change to the opposite sign

• They remain the same

What is the result of distributing -3 across the expression (-6x + 3)?

• 18x - 9

• -18x + 9

• 18x + 9

• -18x - 9

What is the simplified form of the left side of the equation after combining like terms?

• 5 - 18x

• -5 - 18x

• 5 + 18x

• -5 + 18x

After distributing and combining like terms, what should be done next to isolate the variable term?

• Divide both sides by the variable

• Add a constant to both sides

• Add or subtract terms to isolate the variable term

• Multiply both sides by the variable

What operation is used to solve for the variable once it is isolated?

• Multiplication

• Subtraction

• Division

• Addition

What is the value of x after solving the equation 11x = 8?

• x = 11

• x = 8

• x = 8/11

• x = 11/8

How can you verify that the solution to an equation is correct?

• By adding the solution to both sides

• By dividing the solution by a constant

• By multiplying the solution by a constant

• By checking if both sides of the equation are equal after substitution

What is the purpose of using a calculator in the verification step?

• To check for calculation errors

• To find the exact value of x

• To ensure both sides of the equation are equal

• To simplify the equation further

What is the final step in verifying the solution of an equation?

• Substituting the solution back into the original equation

• Multiplying the solution by a constant

• Dividing the solution by a constant

• Subtracting the solution from both sides