Integer Operations and Equation Solving

The video tutorial covers solving two-step equations involving integers. It begins with a review of integer operations, including addition, subtraction, multiplication, and division. The tutorial then explains the steps to solve two-step equations using inverse operations, followed by several example problems to demonstrate the process. Each example includes verification of the solution, ensuring accuracy and understanding.

What is the first step in solving a two-step equation involving integers?

• Square both sides of the equation

• Divide both sides by the constant

• Add or subtract to isolate the variable

• Multiply both sides by the coefficient

When adding two negative integers, what is the result?

• A positive integer

• A negative integer

• Zero

• The absolute value of the integers

How do you handle subtraction of integers?

• Subtract the smaller from the larger

• Add the opposite of the second integer

• Multiply the integers

• Divide the integers

What is the result when multiplying two integers with different signs?

• A positive integer

• The absolute value of the integers

• A negative integer

• Zero

What is the first step in solving a two-step equation?

• Add or subtract to zero out the constant

• Multiply or divide to eliminate the coefficient

• Perform inverse operations

• Isolate the variable

In the first example problem, what operation is performed first to solve for x?

• Subtract 12

• Divide by 5

• Add 12

• Multiply by 5

In the second example problem, what is the inverse operation of dividing by 6?

• Subtract 6

• Multiply by 6

• Add 6

• Divide by 6

In the third example problem, what is the result of dividing -27 by -3?

• -9

• 27

• 9

• 0

In the fourth example problem, what is the final value of x?

• 0

• 8

• 1

• -1

In the fifth example problem, what is the result of 7 divided by -7?

• 1

• -1

• 0

• 7