Solving One Step Equations with Multiplication and Division

The video tutorial explains how to solve one-step linear equations using integers. It begins with an introduction to the concept and then demonstrates solving two examples. The first example involves isolating the variable by dividing both sides by a negative number. The second example shows how to handle negative signs in division and multiplication to isolate the variable. The tutorial emphasizes the importance of performing the same operation on both sides of the equation to maintain equality.

What is the goal of solving a one-step linear equation?

• To simplify the equation

• To balance both sides of the equation

• To eliminate the variable

• To find the value of the variable

In the equation -6x = 36, what operation should be performed to isolate x?

• Division

• Multiplication

• Subtraction

• Addition

Why is it incorrect to add 6 to both sides of the equation -6x = 36?

• Because -6 is attached to x by multiplication

• Because -6 is a negative number

• Because addition is not allowed in this context

• Because it would not simplify the equation

What is the solution to the equation -6x = 36?

• x = 6

• x = -6

• x = 36

• x = -36

In the equation -x/3 = -8, what should be done with the negative sign?

• Include it in either numerator or denominator, but not both

• Include it in both numerator and denominator

• Include it in the denominator

• Include it in the numerator

How can the equation -x/3 = -8 be rewritten to make it easier to solve?

• x/-3 = -8

• x/3 = -8

• x/3 = 8

• x/-3 = 8

What operation should be performed to both sides of the equation x/-3 = -8 to isolate x?

• Addition

• Division

• Multiplication

• Subtraction

What is the result of multiplying both sides of the equation x/-3 = -8 by -3?

• x = 24

• x = -24

• x = 8

• x = -8

What is the final solution to the equation x/-3 = -8?

• x = -8

• x = -24

• x = 24

• x = 8

What is the opposite operation of dividing by a negative number?

• Adding a positive number

• Subtracting a positive number

• Multiplying by a negative number

• Dividing by a positive number