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SAT Math: Absolute Value 2

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1. If $f(x) = |x^3 -36|$ , what is the value of $f(-4)$ ?

$-64$

$64$

$100$

$-16$

2. Let $x$ and $y$ both be negative numbers such that $|3-4y| =11$ and $|2x-3| =5$ . What is $|y-x|$ ?

$-1$

$0$

$1$

$2$

3. Evaluate for $x=4$

$|3x+5| + |2x-17|$

$2$

$11$

$18$

$26$

4. Solve for $x$

$|4x-4| =16$

$x=-3,4$

$x=5$

$x=5,-3$

$x=-3,-5$

5. If $|3x-4| \textless 5$ , which must be true for the value of $x$ ?

$x \textless 0$

$-\dfrac{1}{3} \textless x \textless 3$

$x \textgreater 0$

$-3 \textless x \textless 3$

6. Find the absolute value of the following expressino:

$|3*3-16|$

$7$

$-7$

$-39$

$14$

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