Solving Linear Equations Steps

This video tutorial by Hey Can Math and Science covers the concept of equivalent equations. It begins with an introduction to the topic and outlines the learning objectives. The tutorial uses a scale analogy to explain the concept of equivalent equations, emphasizing the importance of performing the same operation on both sides of an equation. The video includes several example questions to demonstrate how to solve equivalent equations and verify their equivalence. It also covers algebraic methods for solving equations and checking solutions. The lesson concludes with final practice questions and a summary of key points.

What is the main focus of this math lesson?

• Understanding equivalent equations

• Learning about fractions

• Studying calculus

• Exploring geometry

What should you do to both sides of an equation to keep it equivalent?

• Add different numbers

• Perform the same operation

• Multiply by zero

• Subtract only from one side

In the balance scale analogy, what happens if you remove equal weights from both sides?

• The scale tips to one side

• The scale remains balanced

• The scale becomes heavier

• The scale breaks

What happens to the scale if weights are removed only from the left side?

• The left side goes down

• The right side goes down

• The scale remains balanced

• The right side goes up

In the example problem, what operation is performed on both sides of the equation 2 + x = 5?

• Divide by 4

• Subtract 4

• Add 4

• Multiply by 4

What is the result of multiplying both sides of 7x = 10 by 2?

• 14x = 20

• 7x = 20

• 14x = 10

• 7x = 5

How do you simplify 30 = 20b by dividing both sides by 10?

• 30 = 2b

• 3 = 2b

• 30 = 20

• 3 = 20b

What operation is used to solve 7q - 4 = 10?

• Subtract 4

• Divide by 4

• Add 4

• Multiply by 4

What is the result of adding 11 to both sides of 2q + 5 = 8?

• q + 5 = 8

• q + 16 = 19

• q + 5 = 19

• q + 16 = 8

What is the result of multiplying both sides of 7k = 10 by 3?

• 21k = 30

• 7k = 30

• 21k = 10

• 7k = 3