Solving Equations with Parentheses and Negative Numbers

In this video, the instructor solves the equation -243 = -9(10 + X) by distributing, simplifying, and isolating the variable X. The solution is verified by substituting back into the original equation, confirming that X equals 17. The video concludes with a reminder to subscribe for more math and science tutorials.

What is the first step in solving the equation -243 = -9(10 + X)?

• Subtract 10 from both sides

• Multiply both sides by 9

• Add 243 to both sides

• Distribute the -9

After distributing -9, what is the expression obtained?

• -9X - 90

• -9X + 90

• 9X - 90

• 9X + 90

What operation is used to isolate the variable X after simplifying the equation?

• Division

• Addition

• Subtraction

• Multiplication

What is the value of X after isolating it in the equation?

• 15

• 16

• 17

• 18

What is the purpose of substituting the value of X back into the original equation?

• To eliminate the variable

• To verify the solution

• To find a new solution

• To simplify the equation further

What is the result when substituting X = 17 back into the equation?

• -243

• 0

• -153

• -90

What is the result of -9 times 17?

• -90

• -153

• -243

• -17

What is the final step to confirm the solution is correct?

• Multiply all terms again

• Recalculate the entire equation

• Check if the left side equals the right side

• Add all terms again