How to multiply binomials with the distributive property

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PSAT Math › How to multiply binomials with the distributive property

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Decrease by 40%. Which of the following will this be equal to?

Explanation

A number decreased by 40% is equivalent to 100% of the number minus 40% of the number. This is taking 60% of the number, or, equivalently, multiplying it by 0.6.

Therefore, decreased by 40% is 0.6 times this, or

$0.6 \left (18d +30 \right ) = 0.6 \cdot 18d + 0.6 \cdot 30 = 10.8d + 18$

Find the product:

Explanation

Find the product:

Use the distributive property:

Write the resulting expression in standard form:

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