1001 Algebra Problems.PDF

228.Consider the following graph and assume that
ABCDis a square. What are the coordinates of
point D?

a.(6,–4)

b.(–6,4)

c.(–6,–4)

d.(–4,6)

e.(6,–3)

229.The point (2,–5) lies in which quadrant?
a.Quadrant I
b.Quadrant II
c.Quadrant III
d.Quadrant IV

230.For all nonzero real numbers xand y, points
whose coordinates are given by (x^2 ,(–y)^2 ) lie in
which quadrant?
a.Quadrant I
b.Quadrant II
c.Quadrant III
d.Quadrant IV

231.For all real numbers x–2, points whose

coordinates are given by (|–x – 2|, –|–x – 1|)

must lie in which quadrant?

a.Quadrant I

b.Quadrant II

c.Quadrant III

d.Quadrant IV

232.Ifxis a positive real number and yis any real

number, which of the following is an accurate

characterization of the point (x,y)?

a.The point (x,y) can be in Quadrant I, in

Quadrant II, or on the x-axis.

b.The point (x,y) can be in Quadrant I, in

Quadrant IV, or on thex-axis.

c.The point (x,y) can be in Quadrant I, in

Quadrant II, on the x-axis, or on the y-axis.

d.The point (x,y) can be in Quadrant I, in

Quadrant IV, on the x-axis, or on the y-axis.

233.Ifxis any real number and yis a nonnegative

real number, which of the following is an

accurate characterization of the point (x,y)?

a.The point (x,y) can be in Quadrant I, in

Quadrant II, or on the x-axis.

b.The point (x,y) can be in Quadrant I, in

Quadrant IV, or on the x-axis.

c.The point (x,y) can be in Quadrant I, in

Quadrant II, on the x-axis, or on the y-axis.

d.The point (x,y) can be in Quadrant I, in

Quadrant IV, on the x-axis, or on the y-axis.

234.Assume a0. Which of the following points

lies in Quadrant IV?

a.(–a,a)

b.(a,–a)

c.(a,a)

d.(–a,–a)

y

BC

(6,4)

(–1,–3)

A D

x

• LINEAR EQUATIONS AND INEQUALITIES–