Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.

Math test

426 views

Published on

Published in: Education
  • Be the first to comment

  • Be the first to like this

Math test

  1. 1. -# +r *-VAdvancetl AlgebraCalcrrlators Allorved _& 75 ?#2,"rffi SHOW ALL WORK!!! -J-LJ4J-Ar-l. Determine the value of a so that a line through the points with coordinates (0, 3) and (5, a) has a slopeofm=-5. j - -;zD+b A._<- ,-5 x f +1 )+ Y - z9+7 J -7-L ,/2. Write an equation of the line in slope-intercept form that passes through (1, 7) and is parallel to ) the graph of y - |x -3 5 ,l -€ +h J> 9;d+< ,/ +=b3. Graph the following equations on space provided and write downpoint of intersection. 2x+6y =r) 6g -- - L?< + la x-y=2 g-- - $X I Z :trtbxnqt -3= -XtL (47 J:q<*L4. Solve by elimination. Give exact answers. 5. Solve by substitution. Give exact answers. 7x+2Y = { 5x+3y =l!, 3x-4Y=J 2x+ y =3 tLl>{+ *J *{ -Zd+7-/ J--+ n<-+3 -5 - 54+)(-74 +7)=l+ *4 =# ll = 17 t-K -dd 4q = l$ --4--q-l- Z --+ tzJ--+;lt ? U --1otV 2y-- -T J ll l7 -_ l7 g-- -ffi d:fr i -,A-(1( 9=- / d =-{ J:,1?
  2. 2. Advaneed Algebra Unit One Test (A)Calculators Allorved6 Let ,=l: f] *r=[; 1] *u ,=l!ri i] Perform the following operations. Ifnot possible then indicate as1l{ot Possible" and explain. Give exact answer -*(r-::t)+ a. Fnd 2A+ B b. " Find l-t ({-*) - 6* ?) , (Y- ;*)+ (; Z) (? ;) -/ =l?* il /- = a- F4 -t-- rt r (t -;) (? q, What is the name ofthis matrix? =(;D/ c-o loamrts J;rl n ^-!c.l ,u/-& O )b ,ru,mbr.7. Solve the following system of inequalities by graphing. Clearly indicate solution region byshading and proper labeling of axes. x-y<5_JS_X+5 l,l.+ ,l d -S 9t, JM "w6
  3. 3. Advnnced Algebra Unit One Test (A) Page 3Calculators Allorved SHOW ALL WORK!!:8. Solve the following system of inequalities by graphing. Clearly indicate solution regionlc4,,shading and proper labeling of axes. br+Xl gS4*+( ./ y < 4x+6 x+4y<7 429-"1+r) <7 t!- txr 4 2x+ y x-6y <10 JL-ad+rl -63 9 -d+ /0 I a= 6"<-z ^a) t I 7 / a/ 4 7/ 7 ,l ,/-9sto 7,, /+b{rl uI I 7 I l,# I I I t I I I 9. Solve this system of equations by any methld. Give exact answers only. _#t -ffiy-+ l+y-r x*z=-2ffi=V- _o x*y=u 9--Z I +Z-- -L )t* z =2 a*z *9Z= / I 4-t /, J=5o^,/ z*- -/10. The sum of three numbers is 100. The last number is the sum of the frst two numbers. Twice thefirst number is l0 less than the last number. (*Hint: Write the three equations and use matrices tosolve.*)4+?tZ=ld .{+y+ ?>t 00z --d+y -<,-.y+&-a , ;/- ?.xZX=/-tb -10 ?t;),) (il=(,f) v & .?A (ii= A :?,-A q :50 !!i!},,t:) Y E0,/ G
  4. 4. Unit One Test (A) Ptge 4 Advanced Algebra SHOW ALL WORK!!! Calculntors Allorved At a firrn, there are three workers that are supposed to work a combined 110 hours per week. ll. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 and hours more than worker 3. How lo;rg should each one work? (*Hint: Write the three equations Xi t + t - i (b use matrices to solve.) ,/ .. r ---" /*2+7 =ito X;_*z+tg -,a 4-1 =5- J+, / J i,=1_lf -/- ui !) (g):WL (*)-(,*:, i:) <=ry 1; J= 4 ?o *=q t{ 12. The table below shows-":[*/ number of people in the U.S. that are age 100 and over. Source: U.S. Census Bureau Draw and clearly label a scatter plot of the data to show the relationship. Let x represent the ^. years since 1990. ,/ttJ, * he r ud, ,{ ,0l}/?* ogb Q$, *4, qq 6A 50 qrll0tttLl b. Find a pr"ai"kftu"?", ,f,J*f*tr?* ,rl? fl{*e number orpeopre aged r00 and over are related. Estimate values to two decimal places. Draw this on thg4raph. c. 3= t A E 1.1+* - tzo37 ?Lf. s? -/ Predict the number of p9gple aged 100 and..over in the year 20A7 (Round youranswer to a whole number). -/ t 274_ql d. Predict the ygar in which approximately 129,000 people will be aged 100 years and over (Round your answer to tfu-nearest year). L00{ a
  5. 5. Advancctl Algebra Unit One Test (A) Pnge 5Calculators Allorved SHOW ALL WORK!!!13. Given triangle A(2,3), B(4, -1) and C(-1, -2).(a) Show how triangle ABC can be translated 3 units righlg and one unit down using matrices. Write lated righ-t !,down the coordinates of A. B and C. :L)r(3 l, :,) -/ 7 -a" ("" (s l L l - z -z -7/ -/ A" (7- , j) Br(,-z) i=(U 4)(b) Show how triangle ABC and be reflected across the y-axis using matrices. Write down thecoordinates of A, B and C. Gffi(3 !, 1 )= r; t L ch -r) ( l, -=, tJ :) A,; (?t)rt B,= t ,r, il c -- (2, -l)BOIYUS [2 pointsJ to football, there are two ways to score: by the run or by the pass Team ,i*it* A a sport pass 21 times, and scored 244 points,while Team B scored 273 points. Team A scored by the r* il times. Team B scored]trthe pass 27 times, and by the run 6 times. How many-6 by the [r/rl";-?7;]"7tb "4t a-*{{b -*&r! plittt is each score worth? , -/ zqZ =-zrt )4tb <lq ,+6{ h = vtoT /a U9 r^. n" l{.t{ tl b:Z*q,ql b;; r:a; fiy /f 7 r u, n z?- ? {*7 P*ls*1eil€{ { Useful Eouations Ax* BY=( *-lz- lt xz- xt ! =mx+b (y-v")=*(*-*.) rcM=1, fa 1],,0., M-=hl:, :)

×