5
QuizMultiple Choice

Combining Like Terms to Solve Equations — Quiz

Question 5 • Mathematics 8

Shau-uen solved the equation 18 point 5 w plus 6 point 5 w minus 2 point 8 w is equal to 149 point 1 Shau-uen's Work Step 1 18 point 5 w plus 6 point 5 w minus 2 point 8 w is equal to 149 point 1 0 Step 2 25 w minus 2 point 8 w is equal to 149 point 1 Step 3 negative 2 point 8 w is equal to 5 point 9 6 4 Step 4 w is equal to negative 2 point 1 3 In which step did Shau-uen make her first error?

Answer
A
Step 1
B
Step 2
C
Step 3
D
Step 4

Explanation

Step 2 is correct because 18.5w + 6.5w combines to 25w. In Step 3, the terms should combine as 25w − 2.8w = 22.2w, so the equation should be 22.2w = 149.1. Shau-uen’s first error is Step 3, where she does not combine the variable terms correctly.

AI-written and checked against the verified answer.

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