Mastering Two Step Equations with Order of Operations

This video tutorial by Sierra on Homemade Mathematics explains how to solve two-step equations. It begins with a brief introduction and prerequisites, followed by a detailed explanation of the order of operations and its reverse application in solving equations. The video includes multiple examples, each demonstrating different aspects of two-step equations, such as handling fractions, grouping terms, negative variables, exponents, and the distributive property. The tutorial emphasizes checking solutions and understanding the logic behind each step to ensure accuracy.

What should you do if you don't know how to solve one-step equations?

• Skip to two-step equations

• Watch a video on one-step equations

• Start with multi-step equations

• Ignore the basics

When solving two-step equations, what is the first step according to the reverse order of operations?

• Multiply and divide

• Parentheses

• Exponents

• Add and subtract

In the equation 2x + 3 = 15, what is the first step to isolate x?

• Multiply by 2

• Add 3

• Subtract 3

• Divide by 2

After subtracting 3 from both sides in the equation 2x + 3 = 15, what is the next step?

• Subtract 2

• Divide by 2

• Multiply by 2

• Add 3

In the equation x/4 - 5 = 1, what operation should be performed first?

• Divide by 4

• Subtract 5

• Add 5

• Multiply by 4

How do you get rid of a fraction in the equation x/4 - 5 = 1?

• Divide by 4

• Multiply by 4

• Add 4

• Subtract 4

In the equation (x + 4)/2 = 6, what is the first step to isolate x?

• Add 4

• Divide by 2

• Multiply by 2

• Subtract 4

What is the correct solution for the equation 3 - x = 14?

• x = -14

• x = 14

• x = -11

• x = 11

In the equation x^2 - 6 = 10, what is the first step to isolate x?

• Square both sides

• Add 6

• Square root both sides

• Subtract 6

What are the possible solutions for the equation x^2 = 16?

• x = 4 and x = -4

• x = 4 and x = 16

• x = -4 and x = 16

• x = 4 and x = 0