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3 years ago

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Drag each expression to show whether it is equivalent to 54x plus 18, 18(3x minus 1), or (6 times 9x) plus (6 times 1)

1 answer:

topjm [15]3 years ago

8 0

The first option is

$18(3x-1) = 18\cdot 3x - 18\cdot 1 = 54x-18$

The second option is

$6\cdot 9x + 6\cdot 1 = 54x + 6$

So, neither of them is equivalent to $54x+18$

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Answer/Step-by-step explanation:

1. $9 = 2a + 3$ ; 3

Let's solve for a.

$9 - 3 = 2a$ (subtraction property of equality)

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$\frac{6}{2} = a$ (division property of equality)

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Therefore, 3 is a solution to 9 = 2a + 3

2. $5n - (-30) = 5$ ; 7

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$5n = 5 - 30$ (Subtraction property of equality)

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$n = -5$

Therefore, 7 is not a solution of $5n - (-30) = 5$

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$4.4r = 1.6 + 2.8$

$4.4r = 4.4$

$\frac{4.4r}{4.4} = \frac{4.4}{4.4}$

$r = 1$

Therefore, 1 is a solution of $4.4r - 2.8 = 1.6$ .

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