Question

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?
Original Equation:
Original Equation:
minus, 6, left parenthesis, minus, 3, x, squared, minus, 1, right parenthesis, plus, 1, equals, minus, 3, x, squared, minus, 5
−6(−3x
2
−1)+1=
−3x
2
−5
First Step:
First Step:
minus, 6, left parenthesis, minus, 3, x, squared, minus, 1, right parenthesis, equals, minus, 3, x, squared, minus, 6
−6(−3x
2
−1)=
−3x
2
−6
Answer
Multiple Choice Answers
associative property of multiplication
distributive property of multiplication over addition
subtraction property of equality
commutative property of addition
Submit Answer

Answer 1

Emily's first step involves distributing the \(-6\) across the expression \((-3x^2 - 1)\). This means she is applying the distributive property.

The correct choice is:

**distributive property of multiplication over addition**.

Thus, the operation she performed is justified by the distributive property.