9
QuizMultiple Choice

Solving with Variables on Both Sides — Quiz

Question 9 • Mathematics 8

Tre determines the solution to the equation 3 point 5 7 x plus 1 point 6 1 is equal to 4 point 7 1 minus 2 point 6 3 x is x is equal to 0 point 5 He verifies his solution using the following steps. Tre's Work Equation: 3 point 5 7 x plus 1 point 6 1 is equal to 4 point 7 1 minus 2 point 6 3 x Step 1: 3 point 5 7 times 0 point 5 plus 1 point 6 1 is equal to 4 point 7 1 minus 2 point 6 3 times 0 point 5 Step 2: 1 point 7 8 5 plus 1 point 6 1 is equal to 4 point 7 1 minus 1 point 3 1 5 Step 3: 3 point 3 9 5 is equal to 6 point 0 2 5 Which statement most accurately describes Tre’s error?

Answer
A
Tre made an error when multiplying each coefficient by 0 point 5 .
B
Tre made an error when substituting the solution in for x .
C
Tre made an error when determining the original solution of x is equal to 0 point 5 .
D
Tre made an error when adding or subtracting.

Explanation

The substitution and multiplications are correct: 3.57 × 0.5 = 1.785 and 2.63 × 0.5 = 1.315. The left side evaluates to 1.785 + 1.61 = 3.395, and the right side should be 4.71 − 1.315 = 3.395, not 6.025. Tre’s error is in the arithmetic when adding or subtracting, so the correct choice is D, “Tre made an error when adding or subtracting.”

AI-written and checked against the verified answer.

Previous
Next