Solving Linear Equations: Step-by-Step Techniques

What is the first step in solving linear equations?

• Move variables to one side

• Simplify both sides as much as possible

• Perform opposite operations

• Check the solution

In the equation X - 3 = 10, what operation would you perform to isolate X?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

How do you check the solution of the equation X - 3 = 10 after solving it?

• None of the above

• Substitute back into the original equation

• Add 3 to the result and compare with 10

• Substitute X in another equation

What is the opposite operation of division in the context of solving equations?

• Subtraction

• Addition

• Multiplication

• None of the above

What is the result of dividing both sides of the equation -56 = -8c by -8?

• c = 7

• c = -7

• c = -8

• c = 8

What is the correct operation to isolate 'e' in the equation 6e + 2 = 18?

• Subtract 6 from both sides

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 6

When solving 2x + 9 = -7, what is the first step to isolate the variable?

• Subtract 9 from both sides

• Add 9 to both sides

• None of the above

• Subtract 2x from both sides

How do you handle equations with variables on both sides?

• None of the above

• Multiply both sides by the variable's coefficient

• Isolate variables on one side and constants on the other

• Combine all terms on one side

In multi-step equations, what should you do after simplifying both sides?

• Check the solution

• Get variables on one side and numbers on the other

• Combine like terms

• Divide both sides by the coefficient of the variable

After simplifying the equation 2x - 6 - 4 = 5x + 8, what is the next step?

• Add 5x to both sides

• Subtract 5x from both sides

• Add 6 to both sides

• Subtract 2x from both sides