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Math 1521 Review Problems: Algebraic Expressions and Functions, Study notes of Algebra

Review problems for college algebra (math 1521) focusing on algebraic expressions and functions. Topics include simplifying expressions, finding equations of lines, and working with logarithms. Students are required to show their work on a separate sheet.

Typology: Study notes

Pre 2010

Uploaded on 08/10/2009

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Math 1521 ( Academic Systems), College Algebra, WEB
Some Review Problems Sheet1, please show your work on a separate sheet of paper
Topics: EIIIA, EIIIB,EIIIC,EIIID, EIIIE, EIIIF
1. Find :
()
[]
3
4457439 โˆ’โˆ’โˆ’โˆ’
2. Simplify the following :
4
1
810
39
3
49 โˆ’
โˆ’
โˆ’
โŽŸ
โŽŸ
โŽ 
โŽž
โŽœ
โŽœ
โŽ
โŽ›
yz
nm
3. Find :
2
4
2
23
1
2
2+
โˆ’
โˆ’+
โˆ’
โˆ’
โˆ’y
yy
y
y
4. a .Simplify :
1
1
4
1
4
+
โˆ’
+
โˆ’
y
y
y
4. b. Solve for y:
3473 โˆ’=+ yy
5. Solve for x using the Completing the Square method :
020324 2=++ xx
6. Find the equation of the line perpendicular to 2762
=
+
yx that passes through
the point
(
. Write your answer in standard form.
)
4,1โˆ’
7. Given the functions 43)(
โˆ’
=
xxf and
(
)
(
)
xgffindxxg o,)( 3
= and
()
(
)
xfg o
pf3

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Math 1521 ( Academic Systems), College Algebra, WEB

Some Review Problems Sheet1, please show your work on a separate sheet of paper

Topics: EIIIA, EIIIB,EIIIC,EIIID, EIIIE, EIIIF

1. Find : [ ( )]

3 9 โˆ’ 34 โˆ’ 75 โˆ’ 4 โˆ’ 4

  1. Simplify the following :

4

1

10 8

9 3

โˆ’

โˆ’

โˆ’

โŽŸ

z y

mn

  1. Find :

2

โˆ’ y y y

y

y

  1. a .Simplify :

y

y

y

  1. b. Solve for y:

3 y + 7 = 4 y โˆ’ 3

  1. Solve for x using the Completing the Square method :

2 x + x + =

  1. Find the equation of the line perpendicular to 2 x + 6 y = 27 that passes through

the point ( โˆ’ 1 , 4 ). Write your answer in standard form.

7. Given the functions f ( x )= 3 x โˆ’ 4 and g ( x ) x , find ( f o g )( x )

3

= and ( g o f )( x )

8. Given the function ( ) 8 ,

x

f x find the inverse function f ( ) x

โˆ’ 1

9. Given the functions f ( ) x = 3 x โˆ’ 1 and g ( x )= 2 x + 5 , find:

a.

( f โ€ข g )( x )

b. (^ f^ โ€ข g )(^4 )

  1. Solve for y:

5 2 23

8

โˆ’ โˆ’ โŽŸ โŽ 

y y

  1. Solve for x :

log 13 x = log 13 (2x +1) - log 13 (x+2)

  1. Solve for x :

2

โˆ’ x e

  1. Solve for y:

4 y + โˆ’ =

  1. Solve the inequality :

y 7 y

2

  • <-
  1. Rewrite as a single logarithm:

3 log (^) x a + 5 log (^) xb โˆ’ log x c