Solving Equations with Parentheses and Negative Numbers

The video tutorial from Moomoomath and Science demonstrates how to solve the equation 144 = -12(x + 5). The instructor begins by applying the distributive property to simplify the equation, then uses addition and division to isolate the variable x. The solution is verified by substituting the value of x back into the original equation. The video concludes with a call to action for viewers to subscribe for more math and science content.

What is the first step in solving the equation 144 = -12(x + 5)?

• Add 5 to both sides

• Multiply -12 by x and 5

• Divide both sides by -12

• Subtract 144 from both sides

After distributing -12, what is the resulting expression?

• 12x + 60

• -12x + 60

• 12x - 60

• -12x - 60

What operation is used to eliminate the constant term on one side of the equation?

• Addition

• Subtraction

• Division

• Multiplication

What is the result of adding 60 to both sides of the equation?

• 144

• 204

• 60

• 84

How do you isolate x in the equation -12x = 204?

• Add 12 to both sides

• Subtract 12 from both sides

• Multiply both sides by 12

• Divide both sides by -12

What is the value of x after solving the equation?

• -17

• 17

• -12

• 12

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

• To find a new solution

• To verify the solution

• To change the equation

• To simplify the equation

What is the final verification step in solving the equation?

• Checking if 144 equals 12 times 12

• Checking if 144 equals -12 times 17

• Checking if 144 equals -12 times -12

• Checking if 144 equals 12 times -17