Question

1.
Malia solved an equation, as shown below:

Step 1: 6x = 48

Step 2: x = 48 - 6

Step 3: x = 42

Part A: Is Malia's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)

Answer 1

Incorrect because she should have divided both sides by 6. The answer for x should be 8. The equation only has 1 solution because the variable x is raised to the first degree, thus 1 real solution.

Answer 2

6x = 48

x = $\frac{48}{6}$

x = 8

Part A:

No, Maria's solution is not correct. It is incorrect because in step 2, she subtracts 6 from 48, but in fact, she had to divide 48 by 6. {Correction done above}

Part B:

This equation will have 1 solution. {Working done above}