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# SAT Absolute Value

Which of the following is the value of $$-10 \cdot \Bigg| - \Big|- \big| -12 \big| \Big| \Bigg|$$?

(A) $$\ \ -120$$
(B) $$\ \ -2$$
(C) $$\ \ -10$$
(D) $$\ \ 22$$
(E) $$\ \ 120$$

If $$x>y>0$$, which of the following equals $$|7x-6y|+|6y-7x|$$?

(A) $$\ \ 0$$
(B) $$\ \ xy$$
(C) $$\ \ x-y$$
(D) $$\ \ 14x-12y$$
(E) $$\ \ 14x+12y$$

$$|-13x+6|=7$$
$$|11y|=66$$

The coordinates of point $$P$$ are determined by the equations above. If $$P$$ lies in the fourth quadrant, what are its coordinates?

(A) $$\ \ (-6, 6)$$

(B) $$\ \ (-\frac{1}{13}, -6)$$

(C) $$\ \ (-\frac{1}{13}, 1)$$

(D) $$\ \ (1, -6)$$

(E) $$\ \ (6, -\frac{1}{13})$$

Which of the following is equivalent to $$|16x+7|>8$$?

(A) $$\ \ x<-\frac{15}{16}$$

(B) $$\ \ x<-\frac{15}{16}$$ or $$x>\frac{1}{16}$$

(C) $$\ \ -\frac{15}{16} < x < \frac{1}{16}$$

(D) $$\ \ x=\frac{1}{16}$$

(E) $$\ \ x>\frac{1}{16}$$

$\begin{array}{r c l} 4|s-1|&=&8\\ \\ \frac{|t+2|}{2}&=&9 \end{array}$

Which of the following CANNOT equal $$|s-t|$$?

(A) $$\ \ 13$$
(B) $$\ \ 17$$
(C) $$\ \ 19$$
(D) $$\ \ 23$$
(E) $$\ \ 26$$

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