Alg. II Block #3 Exam
 
Simplify
-2nm3 • 4m3

-27m5n6

-4m7n8

12m3n4

-8nm6

 
 
 
Simplify

x4

y12

-64x3y9

-x3y6

(-4xy3)3
 
 

2a3b2

   ab3

Simplify.  Your answer should contain

ONLY positive exponents.

2a2

      b

a2

   2b

2b5

      a

b

     a3

12k√2k

4k√6k

4k√7k

5k√3k

Simplify
√(96k3)
 
Simplify
 3k2∛2
-22∛6k2
∛(54k6)

-3∛6

2k2∛7k

 
Simplify

2∜7r2

2∜2r

∜112r2

2∜8r3

3∜4r2

 
Simplify
 9√3 + 6√6

3√3 + 9√6

6√3 + 6√6

3√3  + 6√6

3√3  + 3√6  + 2√54
 
-2∜32   -2∜2

-12∜2

-6∜2

-8∜2

-14∜2

 
√5(3 +√10)

3√5  +  5√2

4√2 + 4

10

3√3 + √30

 

4∜64∙∜20

16∜5

 4∜5

1280

∜84
 

 √15

        3

Simplify

√15

       5

√3

√5

5√3

       9

2√5

 
 

f-1(x) = -¾x + 9/4

f-1(x)= -2 +¼x

Find the inverse of the functions.
f(x) = -7x + 5

f-1(x) =-2x+5

f-1(x)=   x-5

                   -7

 

    7

     7b-5

 1/6

Simplify

      21

21b-15

b+4

    1

      b+4

 

   1

      n+1

   1

      n+8  

Simplify

  n-8

n2-7n-8

      1

       n+4

  n+4

 
Simplify

  k+9

   1

   3(k+2)

  k+9   •        3

9k+81        k+2

   7

      k+6

   2(k-6)

           7

 
 
Simplify

3a(a-4)

        4

  a2

      5

        2

     (a+5)(a-10)

6

   1

a+3

2a3+6a2

     10

 
Simplify

2

1

    6x-12    ÷     1

30x2-60x         10x

   x+2

        4

x-7

 

Simplify

  n+8

      n+5

   2n

      n+9

  n+8      ÷      1

5n+40           n-5

  n-5

        5

   n+9

       n-1

 
 
 
 
 
 
 
 
 
 
 
 

Is the graph a correct sketch

of y=√(x-2)  -3 ?

(type yes or no)
 
 
 
 
 
 
 
 

Is the graph a correct

 sketch of

y=∛(x+2)  +4?

(type yes or no)
 
 

    6k2  +32k

      ( k+4)(k+6)

0

Simplify

 3k      +  2k

k+4        k+6

  5k2  +26k

     (k+4)(k+6)

 

    4k2

     (k+4)(k+6)

 
 
Simplify

   2-8p+5p2

        3(5p+2)

  2-10p

     3(5p+2)

    6

15p +6

 3-7p+5p2

       3(5p+2)

  2-7p+5p2

       3(5p+2)

-
 
Rewrite the equation in exponential form.

 (-2)3 = 1/9

 (1/9)3 = -2

3-2 = 1/9

 3(1/9) = -2

log3(1/9) = -2
 

log14196=2

Rewrite the equation in logarithmic form.

log1962=14

142 = 196

log214=196

log19614=2

Evaluate the expression.

1

4

3

2

log28
 
Evaluate the expression.

-3

3

1/16

2

log2
 

5log2x -25log2y

5log2x +25log2y

Expand the logarithmic expression.
log2(x5/y)5

25log2x -5log2y

log2z + log2x +log2y
 

log8√zx

log8(x3/y3)

Condense the expression into a

single logarithm.

9log8x +3log8y

log8(x3/y9)

log8x9y3

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Is the sketch correct

for the graph of

f(x)= x2-x

       -4x2+36

(type yes or no)
 
 
 
 
 
 
 
 
 
 
 
 
Is the sketch of y correct?
y=3•2x
type yes or no
 
 
 
 
 
 
 
 
 
 
 
Is the sketch of the function correct?
y=log4(x+3) +1
type yes or no

Simplify 

x4

9x

8x

100000x5

(81x2)½
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