Solving Linear Equations and Expressions

The video tutorial covers solving various algebraic equations, including examples like 6.1C, 4x - 1 = 7, x/6 + 3 = 5, x + 8/2 = 9, 3x + 2 = 5x, and 2/3x - 4 = x + 1. The teacher demonstrates different methods, such as eliminating fractions and expanding brackets, to find solutions. Emphasis is placed on understanding the steps and using calculators for complex numbers.

What is the result of 10 + 3?

• 13

• 15

• 12

• 14

If x = 3 + 10, what is the value of x?

• 10

• 11

• 13

• 12

In the equation 4x - 1 = 7, what should be moved first?

• 7

• 1

• x

• 4x

How do you solve 4x = 8 for x?

• x = 2

• x = 4

• x = 6

• x = 8

What operation is used to isolate x in 4x = 8?

• Division

• Multiplication

• Subtraction

• Addition

In the equation x/6 + 3 = 5, what is the first step to solve for x?

• Add 3

• Subtract 3

• Multiply by 6

• Divide by 6

What is the value of x in x/6 = 2?

• 12

• 6

• 8

• 10

How can you eliminate fractions in an equation?

• Divide by the numerator

• Multiply by the denominator

• Subtract fractions

• Add fractions

What is the result of multiplying all terms by 6 in x/6 + 3 = 5?

• x = 12

• x + 18 = 30

• x + 3 = 5

• x = 30

In the equation x + 8/2 = 9, what is the first step to solve for x?

• Multiply by 2

• Divide by 2

• Subtract 8

• Add 8