MAT 100 PSC Mathematics and Statistics Problem Set Questions 1) Simplify ??
x?y (x?y)2 x?y (x?y)2
2)Simplify ?2 2? x?yx?y
x2?x?6 x2?5x?14 3)Simplify x2?4 ?x2?5x?6?
x2?x?6 x2?5x?6 4)Simplify x2?4 ?x2?5x?14?
5) Simplify 5 ? 7 ? 3x 3x
6) Simplify 1 ? 3x ? 3x ?1 3x ?1
7) Find the domain of
solution of ?11? 2x ?1?11. solution of ?11? 2x ?1?11. solution of ?11? 2x ?1?11.
slope of the line passes through ??2,6? and ?8,?3?.
8) Find the solution of
2x ?1 ?11. 2x ?1 ?11.
9) Find the solution of
10) Find the
11) Find the
12) Find the
13) Find the
14) Find the
15) Find the
3
? 2 .
x
solution of 2x?1?11.
slope and the y-intercept of the line 3y ?5x ?12.
the equation of the line with slope m ? ?3 and passes
16) Find
through ??2,1?.
17) Find he slope of the line parallel to the line 3y ? 2x ? 6 ? 0 . 18) Find he slope of the line perpendicular to the line
3y ?2x ?6?0.
19) Find the distance between the ?3,?1? and ?2,1?.
20) Find the midpoint of the segment with endpoints ?6,?7? &
??12,?3?. Home Work-Mat100. The test Sunday like this problems. This due
Tuesday
x ?y x2?y2
1) Simplify
?
?
x ? y (x ? y ) 2
x ? y (x ? y ) 2
2) Simplify
?
?
x ?y x2?y2
x 2 ? x ? 6 x 2 ? 5x ? 14
3) Simplify
? 2
?
x 2 ?4
x ? 5x ? 6
x 2 ? x ? 6 x 2 ? 5x ? 6
4) Simplify
? 2
?
2
x ?4
x ? 5x ? 14
5
7
5) Simplify
?
?
3x 3x
1
3x
6) Simplify
?
?
3x ? 1 3x ? 1
3
7) Find the domain of
.
x ?2
8) Find the solution of 2x ? 1 ? 11 .
9) Find the solution of 2x ? 1 ? 11.
10) Find the solution of 2x ? 1 ? 11.
11) Find the solution of ?11 ? 2x ? 1 ? 11.
12) Find the solution of ?11 ? 2x ? 1 ? 11.
13) Find the solution of ?11 ? 2x ? 1 ? 11.
14) Find the slope of the line passes through ? ?2,6 ? and ? 8, ?3? .
15) Find the slope and the y-intercept of the line 3y ? 5x ? 12 .
16) Find the equation of the line with slope m ? ?3 and passes
through ? ?2,1? .
17) Find he slope of the line parallel to the line 3y ? 2x ? 6 ? 0 .
18) Find he slope of the line perpendicular to the line
3y ? 2x ? 6 ? 0 .
? 3, ?1? and ? 2,1? .
19)
Find the distance between the
20)
Find the midpoint of the segment with endpoints ? 6, ?7 ? &
? ?12, ?3? .
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