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Use the distributive property to write an expression that is equivalent to each given expression.
(a)
-3(2x-4)
b.
0.1(-90+50 a)
c.
-7(-x-9)
d.
(4)/(5)(10 y+-x+-15)

$4$ . Use the distributive property to write an expression that is equivalent to each given expression. $\newline$ (a) $-3(2 x-4)$ $\newline$ b. $0.1(-90+50 a)$ $\newline$ c. $-7(-x-9)$ $\newline$ d. $\frac{4}{5}(10 y+-x+-15)$

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Full solution

Q.

4

. Use the distributive property to write an expression that is equivalent to each given expression.

\newline

(a)

-3(2 x-4)

\newline

b.

0.1(-90+50 a)

\newline

c.

-7(-x-9)

\newline

d.

\frac{4}{5}(10 y+-x+-15)

Apply distributive property: Apply the distributive property to $-3(2x-4)$ . $\newline$ $-3 \times 2x + (-3) \times (-4)$
Simplify multiplication: Simplify the multiplication. $-6x + 12$
Apply distributive property: Apply the distributive property to $0.1(-90+50a)$ . $\newline$ $0.1 \times (-90) + 0.1 \times 50a$
Simplify multiplication: Simplify the multiplication. $-9 + 5a$
Apply distributive property: Apply the distributive property to $-7(-x-9)$ . $\newline$ $-7 \times (-x) + (-7) \times (-9)$
Simplify multiplication: Simplify the multiplication. $7x + 63$
Apply distributive property: Apply the distributive property to $(\frac{4}{5})(10y - x - 15)$ . $\frac{4}{5} \times 10y + \frac{4}{5} \times (-x) + \frac{4}{5} \times (-15)$
Simplify multiplication: Simplify the multiplication. $8y - \left(\frac{4}{5}\right)x - 12$

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