Question

Which expressions are equivalent to 18x – 6? Select all that apply. A. 16.4x – 6 + 1.6x B. 2(9x – 3) C. 3(9x – 2) D. 12x – 6 – 6x E. 6(3x – 1)

Answer 1

answer: a

step by step explaination: A. 16.4x-6+1.6x

Answer 2

Final Answer:

The expressions equivalent to $18x - 6$ are $(16.4x -6 + 1.6x),[2(9x - 3)],[6(3x- 1)]$ corresponding to options A, B and E.

Given:

The expressions provided are

$18x - 6\\16.4x -6 + 1.6x\\2(9x - 3)\\3(9x - 2)\\12x - 6 - 6x\\6(3x- 1)$

To Find:

The equivalent expressions equivalent to $18x - 6$ are to be calculated.

Explanation:

The vital concept helpful here in figuring out the solution is as follows.

Any algebraic expression can be simplified or expanded using the mathematical operations of addition, subtraction, multiplication, division and exponentiation.

Step 1 of 5

As per the given statement in the problem, simplify the first equation stated as an option.

$16.4x -6 + 1.6x\\=(16.4+1.6)x-6\\=18x-6$

Step 2 of 5

Using the information in the given problem, simplify the second equation stated as an option.

$2(9x - 3)\\=2\times 9x-2\times 3\\=18x-6$

Step 3 of 5

As per the given problem, simplify the third equation stated as an option.

$\\3(9x - 2)\\=3\times 9x-3\times 2\\=27x-6\\\ne18x - 6$

Step 4 of 5

From the information in the given problem, simplify the fourth equation stated as an option.

$12x - 6 - 6x\\=(12-6)x-6\\=6x-6\\\ne18x - 6$

Step 5 of 5

Lastly, simplify the fifth equation stated as an option.

$6(3x- 1)\\=6\times 3x-6\times 1\\=18x-6$

Therefore, the required correct answer is the correct options A, B and E.

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