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PRECALCULUS PRETEST

SHOW ALL WORK. CIRCLE YOUR ANSWERS. WRITE YOUR EXACT ANSWERS UNLESS OTHERWISE

INSTRUCTED.

1. Solve for x.

a. ( x  7)( x  1)  ( x  1) 2 b. 1  Ax  B  0

3

c. x6  x d. 5

x2



2. Given 2 x  3 y  6



a. Graph the equation. b. Determine the slope and y-intercept.









c. Select two points on the line and use them to confirm, algebraically, that the slope you calculated

from part (b) is correct.



3. Answer these questions about

the function g that is graphed at the right.



a. g(4) = _____ g(x)

Graph of function g

7



b. If g(a) = 3, then a = _____ 6



5



c. The zero of function g is ____ 4



3



2



1



0

-6 -4 -2 0 2 4 6

-1



-2

x



1

4. Simplify without the aid of a calculator:



a. 5 6  24  b. 900 c.

7  49  120

4







5. Simplify and write with positive exponents:    2x 

5 x3

2 4 3









6. Solve by Factoring:

a. 6m2  26m  20 b. 3x3  27 x  0



7. Given g ( x)   x 2  9 :

a. Find g  4 b. g  x   5



c. g  x  5









8. Graph the quadratic function f  x   x2  8x  7 and find the vertex.

Number your axes









2

Answers to MA 180/PRECALCULUS PRETEST



11 1 B 7

1. a.  c. e. 3 f. 

3 A 5



2

2. b. m  b=2

3



3. a. 6 b. 0 c. 4





4. a. 60 b. 30i c. –5, +3/2





5

5.

8x 6





6. a. m  2 ,  5 b. x  0,  3

3







 x +14 f.  x2  10 x  16

2

7. b. -7 d.







8. vertex: (4, -9)









3



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