Question

Select all the expressions that are equivalent to 7(2 - 3n).
a. 9-10n
b. 14-3n
c. 14-21n
d. (2-3n)x7
e. 7x2x(-3n)

Answer 1

Answer:

$\boxed{c. \: 14 - 21n \: \: \: \: and \: \: \: \: d. \: (2 - 3n) \times 7}$

Step-by-step explanation:

$7(2 - 3n) = (2 - 3n) \times 7\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =(7 \times 2) - (7 \times 3n) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 14 - 21n$

Answer 2

The expression equivalent to 7(2-3n) is option (c) 14-21n and option (d) (2-3n)×7

What is Distributive Property?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given,

7(2-3n)

Apply Distributive property

7(2-3n) = 14-21n

Consider the option c

(2-3n)×7 = 7(2-3n)

Hence, the The expression equivalent to 7(2-3n) is option (c) 14-21n and option (d) (2-3n)×7

Learn more about Distributive property here

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