Solving Linear Equations Concepts

This video tutorial teaches how to solve two-step equations using inverse operations. It provides two examples: solving -3w + 7 = -14 and 16 - 7M = 30. Each example is solved step-by-step, followed by verification of the solutions.

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

• Subtract the constants

• Multiply all terms

• Isolate the variable

• Add the coefficients

In the equation -3w + 7 = -14, what operation should be used to eliminate the +7?

• Addition

• Subtraction

• Multiplication

• Division

In the equation -3w + 7 = -14, what is the coefficient of w?

• -7

• 3

• 7

• -3

In the equation -3w + 7 = -14, what is the first step to solve for w?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply by 3

• Divide by 3

What is the inverse operation of multiplication?

• Exponentiation

• Addition

• Subtraction

• Division

What is the inverse operation of addition?

• Exponentiation

• Subtraction

• Division

• Multiplication

What is the purpose of using inverse operations in solving equations?

• To complicate the equation

• To isolate the variable

• To change the equation

• To add more variables

What is the result of 7 + (-7)?

• 7

• -14

• 14

• 0

After isolating the variable in -3w = -21, what is the value of w?

• -7

• 21

• 7

• -21

What is the purpose of checking your solution in an equation?

• To change the equation

• To verify the solution is correct

• To find a new solution

• To simplify the equation