Solving Equations and Operations

The video tutorial introduces module seven, focusing on solving equations by isolating variables. It explains the concept of inverse operations, such as addition and subtraction, and multiplication and division, to isolate variables. The tutorial emphasizes the importance of showing work and boxing answers. It provides step-by-step examples of solving one-step equations, equations involving multiplication and division, and more complex problems with negative numbers.

What is the primary goal when solving an equation?

• To eliminate all numbers

• To add more variables

• To find the value of the variable

• To make both sides of the equation equal zero

What operation should you use to isolate a variable when you see addition in an equation?

• Division

• Addition

• Multiplication

• Subtraction

If you encounter subtraction in an equation, which operation will help you isolate the variable?

• Division

• Multiplication

• Addition

• Subtraction

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Division

• Multiplication

Why is it important to show your steps when solving equations?

• To avoid solving the equation

• To confuse others

• To make the equation longer

• To help teachers understand your reasoning

In the equation x + 3 = -1, what is the first step to isolate x?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

In the equation a - 1 = -10, what operation will help isolate a?

• Divide both sides by 1

• Multiply both sides by 1

• Add 1 to both sides

• Subtract 1 from both sides

What is the result of dividing a negative number by another negative number?

• A positive number

• The same negative number

• Zero

• A negative number

In the equation -5x = -10, what is the first step to solve for x?

• Subtract 5 from both sides

• Divide both sides by -5

• Add 5 to both sides

• Multiply both sides by -5

How do you handle a negative sign when solving the equation -g/3 = 1?

• Ignore the negative sign

• Add a negative sign to both sides

• Divide both sides by -3

• Multiply both sides by -3