college mathematics one finals

1) -42x + 36 < - 6 (6x-8)
.
2) X12/X9
.
3) 12X / 3X
.
4) (X-5) (X + 5X)
.
5) X – 13X + 36
6) 5X-5 . 6X
X 9X-9
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7) Identify which graphs corresponds to the point ( 5, -3 )
8) Identify the intercepts on the ff graph:
x-intercept is -1, y-intercept is 4
9) When 5 is added to 4X a no. the number increases by 35, Find the no.
10) (6+9i) – (-5+i)
11) Find the value of X : 3X – 2 = 2
12) Find the value of X: IxI = 8
13) This relation is a function:
{(-6,-7), (-1,4),(3,4),(3,-7)} True/False
14) The ff graph represents a function
True or False
15) Which of the ff equations corresponds to the given graph?
y = -2x – 3
16) Given f(x)= 8x-2 and g(x)= 2x-3 find
f-g
17) Solid line=f(x), In which one of the 4 graphs does the dotted line represent g(x) = f(x-2) ?
18) Find the midpoint of the line bet. two points (-5,2) and (2,7)
19) Solve the system: 2y = x+16
5x + 10y = 0
20) Solve the system x-6y=11, 4x-7y=10
21)Solve the system: x+3y+4z=-14
4y+2z= -22, z = -1
23) Solve the system of equations:
-5x-y-8z= -49, -4x-6z= -36, 6y+z= 20
24) Using Cramer’s Rule solve the ff system 6x = -4y-10, 5x = -y-13
25) Express the solution set of
-27 < -4x + 1< -7 in interval notation
26) Express the solution set of
Ix+3I -9 < -3 in interval notation
27) Determine the domain of the ff function [ 1, oo )
28) Find the inverse of the ff function :
f(x) = x + 5 if x > 0
29) Which graph represents the solution to the following inequalities? x<1, y-x> -3
31) Write the equation of a line in slope-intercept form passing through (5,2) and parallel to y= -1/2x +2
32) If f(x)= 4x + 4x + 8 and g(x)=4x-4 find ( g o f ) (x)
33) Write the standard form of the equation of a circle with center (3, -1) and a radius of 6
36) Solve (2x+9) +2 = 3(x+8)
38) Solve 2x = -6x -2
40) Use the rational zero theorem to list all the possible rational zeros for
f(x)= x -5x +3x +2