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**Unformatted text preview: **Test on Chapter 1
Math 118 Winter 2004 Horst Read the problems carefully. Show all necessary work.
Circle your answers. Fractions must be reduced and radicals must be in simplest form. Each problem is worth 5 points,
100 possible. 1) Simplify l3x—5| + ll—x] if x>2 :zka wam W7.) —’ i 2) Simplify with no denominator y
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me”m?ﬁijT{w TEKXTMWM" M ‘ ,% 4
ix {,3 ) \ 3) Simplify 4) 5) Factor completely 48x5—24x3+3x gxom" V? a} ~> 3% (Wk! ‘5(§-ix2"‘~\ 54x5y - 16x2y7 Factor completely \ J (27 ""‘ mg"? my? (4 ﬁx a $42 )(ﬂx;sz.. 4p m y 6) Factor completelg , W _ I i _
a x4 + 2abx4 + bzxz - azy2 X‘Z(q7~+2ﬁﬁg “a “12(sz k1) "'3? ( X ‘2 “qt Caz“? “Zak: Y 1'32 “M 7) Simplify e f.“ )3 1g} (Xqﬁlkxwzj w VVVV I r QX'KECX*§)éfI 3; x.» m
&w awn _ ZabYZ _ b2y2 .
, .............. ,____‘
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? 1:5 if” 1 L-) ‘ 8) 9) 19) Simplify
79x312x3:1x_v + _ 2+ -
X2+3x+2 x2-2x—3 x2+2 Rationalize the denominator .. » , f" V x W _,
«M, i ? '47 m.“ V , _._ W ‘ ~ ; a W v '— 2a xyga= , xgn mi‘n JE‘ - 2 x ‘1 e i
‘2 0. Solve fag X
(2x~1)3 + (x-1)(x+3) a ~2(2~x—x2)+3 + .x3_4x:3_ 11) 12) Solve for x by completing the square 2x2+7x+4=0 ’x’ "‘1 ~ 1. SM AW
, :4:K ‘ ‘\¢ x 3+ 3: w
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$x_ ... \\;'*:;“; w;
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Solve for x J3x+l — x+4
~ ‘ K 13) 14) Solve for x Solve for x / z.\7~sx%, a!" u.
w» a?" 2
‘9‘ éx‘ ﬂaw-“30f 15) Solve the non~linear inequality x 2 $;$_~ X+3 16)
a) b) Find the center and radius. x kc“ + ~1+ mg is 653% m» H } ~« ., f ‘x "r W w.
"W..m WM 17) For the graph of the equation y=x4-3x2 check it for symmetry about the y—axis, the x axis and
the origin. , M w 0 Ki”
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agix “5* (“DJ 9‘
2 xg*§xd i i” ‘Mﬂ‘i‘ ’ i
i 18) Find the equation of the line through the points
(-3,5) and (2,-l). Put the answer into slope—intercept form.
K ‘ a ‘2: m VV\: W515; ; i5 19) Find the equation of the line through the point (2,73)
and perpendicular to the line 3X+7y=2. Put the answer into
slope—intercept form. x zg _ i 1 »7 (p 2 up w: w“ WW M l‘ 20) Joe can paint a fence by himself in 10 hours, and Tom
can paint the same fence in 8 hours. If Joe starts working 2 hours before Tom starts working with him, how long will
Tom work before they are done? i w
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- Math, Fraction, ........., simplest form, Mathematics in medieval Islam, CIRCLE your answers, zka wam