Question

When solving an equation, Anne's first step is shown below. Which property justifies Anne's first step?
\text{Original Equation:}
Original Equation:
7x^2+(8x^2+1) =
7x
2
+(8x
2
+1)=
\,\, 6x^2-5
6x
2
−5
\text{First Step:}
First Step:
15x^2+1 =
15x
2
+1=
\,\, 6x^2-5
6x
2
−5

Answer 1

The first step that justifies Anne's first step while solving the expression is the commutative law of addition.

Given the equation solved by Anne's expressed as;

$7x^2+(8x^2+1)$

To get the first step, we will use the commutative property of Addition as shown:

$7x^2+(8x^2+1)\\= 7x^2+8x^2+1\\=8x^2+7x^2+1\\= 15x^2 + 1$

Hence the first step in the justification is the commutative law of addition.

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