Extra Math Practice #166-170

Which of the following inequalities has as its solution set all points that are a distance of 4 or less from –5 ?

A) $|x+4|\leq -5$

B) $|x-5|\leq 4$

C) $|x+5|\leq 4$

D) $|x-4|\geq -5$

Some values of the linear function $f$ are given in the table above. If $g(x)=3f(x)$ , what is the value of $g(8)$ ?

If $\sqrt[3]{x^{(2/5)}x^5}=x^m$ for $x>1$ , what is the value of $m$ ?

4 A jar contains candies in three different kinds of wrappers: red foil, red cellophane, and green foil. The total number of candies in the jar is 90. The ratio of candies in foil wrappers to candies in cellophane wrappers is 1:1. The ratio of red wrappers to green wrappers is 4:1. How many candies in the jar have red foil wrappers?

$\begin{align*}(ax+b)(5x+9)=(ax)^2-b^2\end{align*}$

The equation above is true for all values of $x$ , and $a$ and $b$ are nonzero constants. What is the value of $a-b$ ?

A)–14

B)–4

C)4

D)14

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