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Math 095 Review Exercises Fall 2007
1.
Simplify:
a) -52
c)
6  3 4
20  5  2
b) (-5)2
d) 6 – 108  33
2.
a) Evaluate 2y – x2 for x = -3 and y = 10
b) Find f(-1) for f(x) = 8x2 + 7
3.
4.
Simplify the following:
a) (3a4b)2
b) 6-2 + 90
310
c) 6
3
 3x 2 
d)  3 
y 
2
Simplify the following:
a) (x4 + 2x + 4) + (5x4 + 4x2 - 8x + 3)
b) (x3 – 4x2 – 11) – (x5 – 3x3 + 4x2 – 8)
c) -2x2(3x2 – 4x – 6)
d) (4y + 3)2
e) (4a – 7)(a + 3)
f) (x3 – 4x2 + 30x -5)  (x - 3)
5.
Factor completely:
a) 3x2 – 12x
b) xy – 3y + 2x – 6
c) x2 – 10x + 16
d) x2 + 36
e) 5x2 – 45
6.
a) Solve the equation
-3x + 5(x – 7) = 11 – 2x
b) Solve the equation
2x 1 x  3

5
4
c) Solve the inequality, and graph the solution:
5x + 2 > 2x – 7
d) Solve the equation:
2x2 – x = 10
7.
Solve the system of equations algebraically:
2x – 5y = -1
3x + 2y = 8
8.
a) Write the linear equation 2x – 3y = 6 in slope-intercept form and graph it on
the grid provided.
b) Identify the following for the line in part a.
Slope________
y-intercept____________
x-intercept____________
9.
a) Write the equation of a line that contains the points (-1, 8) and (0, 6)
b) Write the equation of the line parallel to the line y = -5x + 3 that contains
the point (0, -2)
10.
a) The width of a rectangular mirror is 3 inches longer than twice its length. The
perimeter of the mirror is 96 inches. Find the dimensions of the mirror.
b) Find two consecutive even integers such that the sum of the first even integer
and three times the second is 78.
Math 095 Review Answers Fall 2007
1. a) -25 b) 25 c) 9/4 d) 2
3. a) 9a8b2 b) 37/36 c) 81 d)
2. a) 11 b) 15
1
9x 4 y 6
6x4 + 4x2 – 6x + 7
-x5 + 4x3 – 8x2 – 3
-6x4 + 8x3 + 12x2
16y2 + 24y + 9
4a2 + 5a – 21
76
f) x2 – x + 27 +
x3
4. a)
b)
c)
d)
e)
5. a) 3x(x – 4)
b) (x – 3)(y + 2)
c) (x – 8)(x – 2)
d) prime
e) 5(x + 3)( x – 3)
7.
(2, 1)
8.
a) y =
b)
9.
2
,
3
6.
a) x = 23/2
b) x = 19/3
c) x > -3
(------------------>
-3
d) x = 5/2, x = -2
2
x–2
3
(0, -2),
a) y = -2x + 6
b) y = -5x – 2
(3, 0)
10. a) 15 inches by 33 inches
b) The numbers are 18 and 20