Question

When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step? Original Equation: x² + (8x² + 6) = 3x² + 4 First Step: 9x² − 6 = 3x²+4. A. distributive property of multiplication over addition. B. associative property of addition. C. commutative property of addition. D. multiplication property of equality. ​help as soon as you can

Answer 1

∑ Hey, devinorellana0 ⊃

Answer:

B. associative property of addition.

Explanation:

Given:

When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Original Equation: x² + (8x² + 6) = 3x² + 4

First Step: 9x² − 6 = 3x²+4.

A. distributive property of multiplication over addition.

B. associative property of addition.

C. commutative property of addition.

D. multiplication property of equality.

Solve:

x² + (8x² + 6) = 3x² + 4

9x² − 6 = 3x²+4.

A. distributive property of multiplication over addition. - Multiply a value by a sum. ex: a(b + c) = ab + ac

B. associative property of addition. - Changing the grouping of addends doesn't change the answer. ex: ( a + b) + c = a + (b + c)

C. commutative property of addition. - Changing the order of addends doesn't change the answer. ex: a + b = b + a

D. multiplication property of equality. - Multiplying both sides of an equation by the same number but the 2 sides remain equal. ex:
`(a)/(c)=(b)/(c)`
`c\\eq 0`

From the explanation above we can know that; B. associative property of addition justifies Bianca's first step.

xcookiex12

8/16/2022

Answer 2

B. associative property of addition.

Explanation:

In this case we can see that Bianca is applying addition, therefore we can discard any other option that don't contain addition. Also, Bianca is adding up a number from outside a parenthesis (x² + 8x²), she's associating, hence, she's applying: B. associative property of addition.