Identifying Common Mistakes in Algebraic Equations

Why is it important to verify algebraic steps?

• To avoid using a calculator

• To practice more algebra problems

• To make the problem more complex

• To ensure the final answer is correct

What is the first step in solving the equation 9 * (2x + 1/3) = 39?

• Divide both sides by 9

• Subtract 1/3 from both sides

• Distribute the 9

• Add 1/3 to both sides

What is the result of distributing 9 in the equation 9 * (2x + 1/3)?

• 18x + 3

• 18x + 1/3

• 2x + 3

• 2x + 1/3

What operation is performed after distributing the 9 in the equation 9 * (2x + 1/3) = 39?

• Divide both sides by 3

• Add 3 to both sides

• Multiply both sides by 3

• Subtract 3 from both sides

What is the final value of x in the equation 9 * (2x + 1/3) = 39?

• 4

• 3

• 2

• 1

In the second problem, what mistake is made in the first step?

• Forgetting to distribute the 3

• Multiplying instead of dividing

• Adding instead of subtracting

• Incorrectly distributing the 3

What should the term 3 * 5/3 simplify to in the second problem?

• 5

• 5/3

• 15

• 3

In the third problem, what is the correct result of 10 - 2?

• 10

• 8

• 2

• 12

What mistake is made in the third problem?

• Forgetting to subtract 2 from the right side

• Adding 2 instead of subtracting 2

• Multiplying instead of dividing

• Subtracting 2 from both sides

What is the correct approach to solve 1/4r + 2 = 10?

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 4

• Multiply both sides by 4