1001 Algebra Problems.PDF

235.Assume a0. Which of the following points
lies in Quadrant III?
a.(–a^2 ,a^2 )
b.(a,–a^2 )
c.(a^2 ,a^2 )
d.((–a)^2 ,–a^2 )

236.Assume a0. Which of the following points
lies in Quadrant II?
a.(–a,a)
b.(a,–a)
c.(a,a)
d.(–a,–a)

237.For all negative integers x and y, points whose
coordinates are given by (–x^3 ,xy^2 ) lie in which
quadrant?
a.Quadrant I
b.Quadrant II
c.Quadrant III
d.Quadrant IV

238.For all negative integers xand y, points whose

coordinates are given by (––xy)

2

 3 ,x

1

ylie in which

quadrant?

a.Quadrant I

b.Quadrant II

c.Quadrant III

d.Quadrant IV

239.Ifxis any real number, which of the following
is an accurate characterization of points of the
form (–x,–2)?
a.For some values of x, the point (–x,–2) will
lie in Quadrant III.
b.The point (–x,–2) is never on the x-axis
c.Both aand bare true.
d.Neither aor bis true.

240.Ifyis a nonpositive real number, which of the

following is an accurate characterization of

points of the form (1,–y)?

a.For some values ofy, the point (1,–y) will lie

in Quadrant IV.

b.There is no value of y for which the point

(1,–y) is on thexaxis.

c.Both aand bare true.

d.Neither aor bis true.

Set 16 (Answers begin on page 174)

The problems in this set deal with determining the

equations of lines using information provided about

the line.

241.What is the slope of the line whose equation is

3 y– x = 9?

a.^13 

b.–3

c. 3

d. 9

242.What is the slope of the line whose equation is

y= –3?

a.–3

b. 0

c. 3

d.There is no slope.

243.What is the y-intercept of the line whose equa-

tion is 8y= 16x– 4?

a.(0,–^12 )

b.(0,2)

c.(0,8)

d.(0,16)

• LINEAR EQUATIONS AND INEQUALITIES–