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8/3/2019 Ch 3 Frq Review
http://slidepdf.com/reader/full/ch-3-frq-review 1/4
Algebra2/Trig
Chapter3review…goodforFRQ
Name:________________________________
Date:______________________Per:_______
1.)Graphthefollowingsystemofinequalities:.
1< 2 x +1 ≤ 5
y < 2 x +1 + 3Labelimportantpointsandgraphasneatly
aspossible,showsolutionareaclearly.
2.)Graphthefollowinginequality: y < 2 x − 7 +1 .Graph
neatly,labelimportantpointsandshowthesolutionarea
clearly.
3.)Youwanttoburn380caloriesduring40minutes
ofexercise.Youburnabout8caloriesperminute
inlineskatingand12caloriesperminuteswimming.
Howlongshouldyouspenddoingeachactivity?
4.)Graphtheinequalitiesbelow.Showallworkclearlyand
neatly.Labelimportantpoints.Showsolutionareaclearly.
5.)Solveusingeliminationorsubstitutionmethod.Leave
answersinsimplestfractionalform.
6.)Findtheequationofthelineinstandardformthrough
thefollowingtwopoints.
;
8/3/2019 Ch 3 Frq Review
http://slidepdf.com/reader/full/ch-3-frq-review 2/4
7.)Solveforkgiventhefollowinginformation.
8.)Solveforkgiventhefollowinginformation.
9.)Findanequationinf(x)=mx+bformforthelinear
function.
f(‐1)=3;f(3)=1
10.)Findanequationinstandardformfortheline
described,through(‐3,2)andparalleltotheline
containing(2,3)and(1,‐2)
11.)Findvaluesforcandd sothefollowingsystemof
equationshasaninfinitenumberofsolutionsfor( x,y ):
5 x + 6 y = 4
2 x − cy = d
12)Givenconstantsa,b,c,andd ,solvefor( x,y ):
13)Findthevalueofk suchthatthelinethrough P(k -6, 5+k ) and Q(k +4, 3-k ) hasaslopeofk.Thenwritethe
equationofthelineinpointslopeform
14)Solvethesystemofequations
and
15)Dotheaboveproblemagainifinsteadofxitisx‐4andinsteadofyitisy+2
16.)WhatisthepointthatistheSHORTESTdistancefrom(‐3,7)totheliney=‐.5x+6?
8/3/2019 Ch 3 Frq Review
http://slidepdf.com/reader/full/ch-3-frq-review 3/4
16)Usetheequationsinproblem8tocompletethefollowing:
Find f (a+h)− f (a−h)
2h
Find−2 f ( x + 3)− 4(2g( x))
3 x +1….
Find f (−2g( x + h))
Findtheslopeofthelinebetween (a, f (a)) and (a, f (a + h))
Find the indicated values.
1. Given f ( x) = 3 x2+ 5, find f (4).
2. Given f ( x) = 5 x3+ 3 x2, find f (!3).
3. Given f ( x) = 5 x2+ 3 x, find f ( x + h).
4. Given f ( x) = 21 x2! 20 x, find f ( x + h).
5. Given f ( x) = 3 x2+ 5 x and g( x) = 7 x + 3, find f ( x)g( x).
6. Given f ( x) = 6 x3+ 7 and g( x) = e x , find f ( x)g( x).
7. Given f ( x) = 3 x2+ 4 x + 5 and g( x) = x2
+ x +1, find f ( x)g( x) if x = 3.
8. Given f ( x) = 2 x2+ 5 x and g( x) = 3 x, find f (g( x)).
9. Given f ( x) = 2 x2+ 5 x and g( x) = 3 x, find g( f ( x)).
10. Given g( x) = 5 x2
+ 5 x + 5 and h( x) = 4 x + 4, find g(h( x)).
11. Given g( x) = 5 x2+ 5 x + 5 and h( x) = 4 x + 4, find h(g( x)).
12. Given h( x) = 16 ! 35 x , find h(2).
13. Given f ( x) = 5 ! 23 x , find f (3).
14. Given f ( x) = e x !and! g( x) = 3 x2+ 2 x + 6, find f (g( x)).
15. Given f ( x) = e x and g( x) = 3 x2+ 2 x + 6, find g( f ( x)).
8/3/2019 Ch 3 Frq Review
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y
x
4
4 –4
–4
y
x
4
4 –4
–4
y
x
4
4
–4
–4
For each graph given in parts (a) through (c), describe the domain and range.
a. b. c.
d. If f ( x) = 3! x2 , calculate f (5) and f (3a) .
e. If g( x) = 5 ! 3 x2 , calculate g(!2) and g(a + 2) .
f. If f ( x) = x+32 x!5
, calculate f (2) and f (2.5) .
g. If f ( x) = x2+ 5 x + 6 , solve f ( x) = 0 .
h. If g( x) = 3( x ! 5)2 , solve g( x) = 27 .
i. If f ( x) = ( x + 2)2 , solve f ( x) = 27 .
! " !
! "
> !
= = !
! = ! + = ! ! !
= !
= ! = !
= =
= ! ±