test 1  Questions ? email me: nalexander@igc.org

answers: d c d a a    b c a a a     c c d b b    a c a c c    a a b b c   b b b b a
1. Evaluate |-55| - |2|
a-57
b57
c-53
d53
e. nota
2.  Evaluate for x = -3

 x2 - 5x
a6
b-6
c24
d-24
e. nota
3.  Evaluate:
-5 + (-403)
a 398 
b-398
c-903
dnota
4. Solve:
5(6y - 4)  =  (7y + 32) - 3y. Yo, the value of y is between
a0  and  3
b3  and 6
c6  and  9
dnota
Simplify  the next 2 problems.
5. bnb-4
abn-4
bb-4n
cb4-n
dnota
6.  c10c-5/(c8)5
a1/c-35
b1/c35
cc35
dnota
7. Find f(-2)   for f(x) = 13 + x3
a21 
b14
c5
dnota
8. Is this a function ?
ayes
bno
cmaybe
dnota
9. Is this relationship  a function ? {(1,2), (2,3) (3,4), (4,5)}
a yes
bno
cnot enough information to make a choice
10.  What is the domain of  f(x) = 1/(3x + 7) ?
a.  {x| x is not equal to -7/3}
b.  {x| x is any real number}
c.  {x| x is not equal to 0}
d.  nota
11.  What is the domain of  f(x) = 1/(3x - 51) ?
a.  {x| x is not equal to -17}
b.  {x| x is any real number}
c.  {x| x is not equal to 17}
d.  nota
12. f(x) = x2 + 4  and g(x) = 2 - x.  Find (f· g)(0) =f(0)·g(0) 
a. 0
b. 2
c. 8
d. nota
13. Consider a  line whose graph is given by 5x = 3y - 30. What is the x- intercept?
a. (10,0)
b. (0,10)
c. (0,-6)
d. (-6,0)
e.  nota
14. Find the slope m and y-intercept (0,b) of the line given by:  y = 4x - 1
a     m = -1, y-intercept = (0,4)
b     m = 4, y-intercept = (0,-1)
c     nota
15. Rewrite the given equation in slope -intercept form by solving for y:  
-2x + y = 3. 
a    y = -2x + 3
b    y =  2x + 3
c    y = -2x - 3
d     nota
16.  Is this line horizontal or vertical? x = -5 
a  vertical
b  horizontal
 For the next problem, write the point slope form for the lines satisfying the condition below.
17. Passing through  (4,7)  and (10, 8)
a. y - 8 = 6(x - 10)
b. y -10 = (1/6)(x - 8)
c. y - 8 = ( 1/6)(x - 10)
d. y -10 = 6(x - 8)
e nota
18. Find the slope and y-intercept of the line given by the previous problem.
a     m = 1/6, y-intercept = (0,19/3)
b     m = 6, y-intercept = (0,19/3)
c     m = 1/6, y-intercept = (0,10)
d     nota
19. Write an equation for the line in point-slope form:  Passing through (2,7) and perpendicular to the line whose  equation is y = (1/6)x + 5.    
a   y - 2 = -6(x - 7)
b   y - 7 = 6(x - 2)
c   y - 7 = -6(x - 2)
d     nota
20. Yo, write the previous problem in slope -intercept form.
a   y = -6x + 45
b   y = 6x - 5
c   y = -6x + 19
d   nota
21. Solve by substitution :

x - 3y = 3
3x + 5y = -19.

The solution for y is a value between

a  -3  and 0
b  0  and  3
c  3   and 6
d   nota
22.

Solve by addition :

x - 3y = 3
3x + 5y = -5.

The solution for y is a value between

a  -3  and 0
b  0  and  3
c  3   and 6
d   nota
23. Write equations for this problem. The sum of two numbers is 7. If one number is subtracted from  twice the other, the result is -1
a   

x + y = -1
2x - y = 7
b 

x + y = 7
2x - y = -1
c 

x + y = 7
2x + y = -1
d  nota
24. In the previous problem, the solution for x is
a  1
b  2
c  3
d  nota
25. The cost and revenue functions for producing and selling x units of  a CD are given by  C(x) = 15,000 + 12x and R(x) = 32x, respectively.  Suppose the company breaks even. What is C(x)? 
a 7,500 
b 75
c 24,000
d nota 
26. Solve:  -33(2 - b)  < 12(2b + 2)
a   b > 10
b   b < 10
c   b < -10
d   nota
27. Solve:   0 <  ½ x  - 4 <  6 
a   8 > x > 20
b   8 < x < 20
c   no solution
d   nota
28. Solve |3x  + 2| + 2 = 18
a    6, -14/3
b   -6, 14/3
c   -6, -14/3
d   nota
29.  Solve |3x + 2| < 16
a    6 < x < - 14/3
b    -6 < x < 14/3
c   -18 < x < 14
d   nota
30. |3x + 2| > 16
a   x < -6 or x > 14/3 
b   x < 6 or x > -14/3 
c   x < -6 or x > -14/3 
d   nota
31. Graph the line of problem 15.  (0,3)  and (1,5) are points for the line. 
32. Graph the solution to number 29. (-6,14/3) is the graph in interval notation. 
33. Graph  x + y >1 by shading the correct part of the plane. (Hint: First plot the line x + y = 1.) (0,1) AND (1,0) ARE THE POINTS FOR THE LINE. SHADE ABOVE. 
extra credit
34. Solve:   1 <  2x  - 4 <  6. answer:   5/2 < x < 5
35.  f(x) = x2 + 4  and g(x) = 2 - x.  Find (f· g)(1) =f(1)·g(1) = 5
36. Graph the line y = 2x + 1 (0,1) and (1,3) are the points for the line. 
37. Evaluate for x = -3
 for  x3 - 5x    answer: -12