Solving Linear Equations Steps

The video tutorial covers solving algebraic equations with unknown variables. It provides step-by-step solutions to various equations, demonstrating techniques such as isolating variables, removing brackets, and combining like terms. Each example illustrates a different method to solve equations, helping learners understand the process of finding the value of unknown variables.

What is the first step in solving the equation 4x - 8 = 12?

• Add 8 to both sides

• Divide both sides by 8

• Subtract 4 from both sides

• Multiply both sides by 4

After isolating 4x in the equation 4x - 8 = 12, what is the next step?

• Add 8 to both sides

• Subtract 12 from both sides

• Divide both sides by 4

• Multiply both sides by 4

In the equation 6(y + 9) = 27, what operation is used to remove the brackets?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of simplifying 6(y + 9) = 27 after removing the brackets?

• 6y + 54 = 27

• 6y + 9 = 27

• 6y + 18 = 27

• 6y + 27 = 27

How do you solve for y in the equation 6y + 54 = 27?

• Subtract 54 from both sides

• Divide both sides by 6

• Add 54 to both sides

• Multiply both sides by 6

What is the first step in solving the equation 1/2x + 8 = 10?

• Multiply both sides by 2

• Subtract 8 from both sides

• Add 8 to both sides

• Divide both sides by 2

After simplifying 1/2x = 2, what is the next step?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

In the equation 5x - 9 = -8x + 17, what is the first step to isolate x?

• Add 8x to both sides

• Subtract 5x from both sides

• Subtract 17 from both sides

• Add 9 to both sides

What is the result of combining like terms in 5x + 8x = 17 + 9?

• 13x = 9

• 13x = 17

• 13x = 8

• 13x = 26

How do you solve for x in the equation 13x = 26?

• Multiply both sides by 13

• Divide both sides by 13

• Subtract 13 from both sides

• Add 13 to both sides