Arithmetic Sequences and Linear Equations

The video tutorial covers two main topics: arithmetic sequences and solving linear equations. It begins by explaining how to identify the pattern in a sequence of numbers and predict the next terms by adding or subtracting a consistent value. The second part of the video focuses on solving linear equations, specifically how to isolate the variable by combining like terms and rearranging the equation. The tutorial provides step-by-step guidance to help students understand these mathematical concepts.

What is the common difference in the sequence 4, 7, 10, 13?

• 2

• 3

• 5

• 4

If the sequence starts with 4 and has a common difference of 3, what is the fourth term?

• 11

• 13

• 16

• 10

What is the next term in the sequence 13, 16, 19?

• 23

• 21

• 20

• 22

In a sequence where each term decreases by 5, what is the second term if the first term is 80?

• 70

• 75

• 60

• 65

What is the common difference in the sequence 80, 75, 70, 65?

• -6

• -4

• -5

• -3

What is the next term in the sequence 65, 60, 55?

• 65

• 55

• 50

• 60

What is the result of 65 minus 5?

• 70

• 65

• 60

• 55

How do you combine the terms in the equation x + 2x = 12?

• 3x

• x

• 2x

• 4x

What is the value of x in the equation 3x = 12?

• 2

• 3

• 4

• 5

What is the first step to solve the equation x + 2x = 12?

• Subtract x from both sides

• Divide by 3

• Add 2x to both sides

• Combine like terms