Question

Mrs. Jones wrote an equation on the board. She asked the students to solve for the variable, w. Marcus solved it on his paper using the following steps.

Step 1 w over 0.14 equals 4.2
Step 2 the sum of 0.14 and w over 0.14 equals 4.2 plus 0.14
Step 3 w = 4.34

Part A: Review Marcus' work for solving the equation. State the step in which the error occurred, and describe the error using your mathematics vocabulary. (8 points)

Part B: Solve the equation, correcting any errors you may find. Show all the steps in your work. (4 points)

Answer 1

30
did the test

Answer 2

Part A: The error occurred in Step 2. Marcus incorrectly added the two fractions instead of multiplying them.

Part B:
Step 1: w over 0.14 = 4.2
Step 2: Multiply both sides by 0.14: 0.14w = 4.2 * 0.14
Step 3: Subtract 0.14 from both sides: 0.14w - 0.14 = 4.2 * 0.14 - 0.14
Step 4: Simplify: 0.14w = 4.06
Step 5: Divide both sides by 0.14: w = 4.06 / 0.14
Step 6: Simplify: w = 29