Solving Equations and Operations

The video tutorial explains how to solve an equation by isolating the variable x. It covers simplifying both sides of the equation, distributing terms, combining like terms, and using addition and subtraction to isolate x. The tutorial concludes with dividing to solve for x and verifying the solution by substituting back into the original equation.

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

• Isolate x on one side of the equation

• Multiply both sides by a constant

• Divide both sides by a constant

• Add a constant to both sides

When distributing negative 11 on the left side, what is the result of negative 11 times positive four?

• Positive 44

• Negative 44

• Zero

• Negative 4

How do you determine the sum of integers with different signs?

• Divide the larger absolute value by the smaller

• Multiply their absolute values

• Subtract the smaller absolute value from the larger

• Add their absolute values

What operation is needed to isolate the variable term after simplifying?

• Multiplication

• Division

• Subtraction

• Addition

What is the result of 51 minus 403?

• Positive 352

• Negative 51

• Negative 352

• Zero

What is the final step to solve for x in the equation?

• Subtract a constant from both sides

• Add a constant to both sides

• Multiply both sides by a constant

• Divide both sides by negative 11

What is the quotient when dividing negative 352 by negative 11?

• Positive 11

• Zero

• Positive 32

• Negative 32

Why is the solution x = 32 considered correct?

• Because it is a positive number

• Because it is a whole number

• Because it makes both sides of the equation equal

• Because it is a negative number

What is the result of substituting x = 32 back into the original equation?

• The left side equals 32

• The left side equals 22

• The left side equals 29

• The left side equals 51

What does the equation 51 equals 51 verify?

• The equation is inconsistent

• The equation is unsolvable

• The solution is correct

• The solution is incorrect