Graph the inequality y ≤ |x+2|. Which point is NOT part of the solution?

Algebra
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Graph the inequality y ≤ |x+2|. Which point is NOT part of the solution?

a. (–1, 2)

b. (0, 0)

c. (1, 2)

d. (–1, –2)

Which ordered pair could you remove from the relation {(–1, 0), (1, 3), (2, 2), (2, 3), (3, 1)} so that it becomes a function?

a. (1, 3) or (3, 1)

b. (1, 3) or (2, 3)

c. (2, 2) or (2, 3)

d. (2, 3) or (3, 1)

What is the slope for the equation  -  1/2x - y = 3/4?

a.1/2

b.3/4

c.-  3/4

d.-  1/2

Graph the inequality y ≥ 2 |x - 1| - 2.Which point is part of the solution?

a.(3,0)

b.(0, –3)

c.(–1,0)

d.(1, 0)

May 11th, 2015

1) you can actually answer this one without a graph. Just plug in each coordinate until you find one that doesn't work. In this case, the point (-1,2) doesn't work, so your answer is A.

2) In order for a relation to be a function, each x value must only have one y value. Both (2,2) and (2,3) have the same x value but different y values. Removing one of these two would make it a function. C.

3) If you solve the equation for y, you would get y = -1/2x - 3/4, so the slope is -1/2. D.

4) this one is similar to #1 except you are looking for a point that does work. When you plug in the points, you find that D (1,0) is the only point that works.

May 11th, 2015

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May 11th, 2015
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