This is Daniela’s work to solve the equation 13 x + 42 = 276.

13 x + 42 = 276. 13 x = 318. x = 24 and StartFraction 6 Over 13 EndFraction.

Which property did Daniela need to use to avoid her error?
division property of equality
multiplication property of equality
subtraction property of equality
identity property of equality

1 answer

To identify the property that Daniela needed to use to avoid her error, we first analyze her work.

Daniela starts with the equation: \[ 13x + 42 = 276 \]

She incorrectly finds that: \[ 13x = 318 \]

The correct step, using the subtraction property of equality, would have been to subtract 42 from both sides: \[ 13x + 42 - 42 = 276 - 42 \] This simplifies to: \[ 13x = 234 \]

The next step, dividing both sides by 13, would then give: \[ x = 18 \]

Since Daniela made a mistake by arriving at 318 instead of 234, she needed to apply the subtraction property of equality correctly to avoid her error.

Therefore, the correct answer is: subtraction property of equality.