Solving Linear Equations Steps

The video tutorial explains how to solve linear equations by applying the order of operations in reverse. It covers three examples: 3x + 7 = 28, 4x - 7 = 37, and 3x + 11 = -10. For each equation, the instructor demonstrates how to isolate the variable by using the opposite operation, ensuring that whatever is done to one side of the equation is also done to the other. The tutorial emphasizes checking the solution by substituting the value back into the original equation.

What is the first step in solving equations using the reverse order of operations?

• Use exponents

• Add or subtract

• Multiply or divide

• Solve brackets

When solving equations, why do we use opposite operations?

• To make the equation more complex

• To isolate the variable

• To check the solution

• To simplify the equation

What operation should be performed first to solve 3x + 7 = 28?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by 3

• Divide both sides by 3

After subtracting 7 from both sides in the equation 3x + 7 = 28, what is the next step?

• Multiply both sides by 3

• Add 7 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

What is the solution to the equation 3x + 7 = 28?

• x = 5

• x = 6

• x = 7

• x = 8

How can you verify the solution x = 7 for the equation 3x + 7 = 28?

• Add 7 to both sides

• Multiply both sides by 3

• Substitute x = 7 into the equation

• Subtract 7 from both sides

What is the first step in solving the equation 4x - 7 = 37?

• Add 7 to both sides

• Multiply both sides by 4

• Subtract 7 from both sides

• Divide both sides by 4

After adding 7 to both sides in the equation 4x - 7 = 37, what is the next step?

• Divide both sides by 4

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 7 to both sides again

What is the solution to the equation 4x - 7 = 37?

• x = 10

• x = 11

• x = 12

• x = 9

How can you verify the solution x = 11 for the equation 4x - 7 = 37?

• Substitute x = 11 into the equation

• Add 7 to both sides

• Subtract 7 from both sides

• Multiply both sides by 4