Solving Two-Step Equations

Mr. Buffington introduces solving two-step equations, building on knowledge of one-step equations. He demonstrates solving equations by reversing the order of operations, using examples with positive and negative numbers, and fractions. The video emphasizes identifying variables, understanding operations, and applying inverse operations to isolate the variable. Key methods include peeling away layers and reversing operations to simplify equations.

What is a prerequisite for learning two-step equations?

• Understanding calculus

• Factoring polynomials

• Solving one-step equations

• Graphing linear equations

In the equation 5x - 6 = 14, what is the first step to isolate x?

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the purpose of reversing the order of operations in two-step equations?

• To solve for a different variable

• To simplify the equation

• To check the solution

• To make the equation more complex

In the equation 2x + 4 = 26, what operation should be performed first?

• Subtract 4

• Add 4

• Multiply by 2

• Divide by 2

When solving 6x + 13 = -12, what is the first step?

• Subtract 13 from both sides

• Add 13 to both sides

• Divide by 6

• Multiply by 6

In the equation -9x + 62 = 17, what should be done first?

• Add 62 to both sides

• Multiply by -9

• Divide by -9

• Subtract 62 from both sides

How do you handle the fraction in the equation x/3 - 2 = 4?

• Divide by 3 first

• Subtract 2 first

• Add 2 first

• Multiply by 3 first

What is a key point to remember when solving two-step equations?

• Use the same operation twice

• Peel off layers starting from the farthest

• Always start with multiplication

• Ignore the order of operations