Solving Linear Equations with One Variable

The video tutorial explains how to solve algebraic equations involving parentheses. It demonstrates the process of distributing terms, moving variables and constants, and combining like terms through three example problems. The tutorial emphasizes the importance of systematically eliminating parentheses and simplifying equations to find solutions.

What is the first step when solving an equation with parentheses?

• Divide by the numerical coefficient

• Distribute the terms inside the parentheses

• Move all constants to the right

• Combine like terms

When distributing -4 over (X - 6), what is the result of -4 times -6?

• -10

• -24

• 24

• 10

After distributing and combining like terms in the equation 5X - 4(X - 6) = -11, what is the simplified form?

• X = -11

• X = 24

• X = 35

• X = -35

In the equation 4X - 4(2X - 8) = 13, what is the result of -4 times 2X?

• -8X

• 8X

• -4X

• 4X

What is the simplified form of the equation 4X - 4(2X - 8) = 13 after distributing and combining like terms?

• X = -19/4

• X = 4/19

• X = 19/4

• X = -4/19

When solving 13 + 15X = 3(3 + 4X), what is the result of 3 times 4X?

• 12X

• 7X

• 3X

• 4X

After moving all variable terms to the left in the equation 13 + 15X = 3(3 + 4X), what is the next step?

• Divide by the numerical coefficient

• Distribute the terms

• Move constants to the right

• Combine like terms

What is the simplified form of the equation 13 + 15X = 3(3 + 4X) after combining like terms?

• X = -3/4

• X = 3/4

• X = 4/3

• X = -4/3

What happens to the sign of a term when it is moved across the equal sign?

• It becomes positive

• It changes to the opposite sign

• It remains the same

• It becomes negative

What is the final step in solving an equation with parentheses?

• Move constants to the right

• Divide by the numerical coefficient

• Distribute the terms

• Combine like terms