Solving Linear Equations and Operations

The video tutorial explains how to solve the equation 3(x - 1) = -15 by distributing, simplifying, and solving for x. The solution is verified by substituting back into the original equation. Alternative methods are discussed to ensure understanding and accuracy.

What is the initial equation presented in the problem?

• x minus 1 equals negative 15

• 3 times x equals 15

• 3 times the quantity of x minus 1 equals negative 15

• 3 times the quantity of x plus 1 equals 15

What operation is performed first to simplify the equation?

• Dividing both sides by 3

• Distributing 3 to x and -1

• Subtracting 1 from both sides

• Adding 3 to both sides

After distributing, what is the equation simplified to?

• 3x = -15

• 3x - 1 = -15

• 3x + 3 = -15

• 3x - 3 = -15

What is the first step in solving the equation 3(x - 1) = -15?

• Add 1 to both sides

• Divide both sides by 3

• Distribute 3 to x and -1

• Subtract 1 from both sides

What is the next step after distributing the terms?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

What is the result of adding 3 to both sides of the equation 3x - 3 = -15?

• 3x = -18

• 3x = -12

• 3x = -15

• 3x = -9

What is the equation after adding 3 to both sides of 3x - 3 = -15?

• 3x = -18

• 3x = -9

• 3x = -12

• 3x = -15

What is the value of x after solving the equation?

• x = 4

• x = -3

• x = 3

• x = -4

What is the opposite operation of multiplying by 3?

• Dividing by 3

• Subtracting 3

• Adding 3

• Multiplying by 3

What is the final step to isolate x in the equation 3x = -12?

• Add 12 to both sides

• Subtract 12 from both sides

• Divide both sides by 3

• Multiply both sides by 3