Math 127
Exam 1 Practice Problems
1. Express the following number in scientic notation: .0001093
2. Express the following number in ordinary decimal notation: 4.03267 104
3. True or False:
(a) (a + b)c = ac + bc
(b) If ab = 1, then either a = 1 or b = 1 o
Math 127
Polynomial Practice Problem Solutions
1. For each quadratic function given below, nd the coordinates of the vertex, and nd the equation for the line of
symmetry for the graph of the function.
(a) f (x) = (x 5)2 + 12
Since this quadratic function
Math 127
Exam 4 Practice Problem Solutions
1. Solve the following systems of linear equations. Then graph the equations involved to show that your answer is
reasonable.
(a)
y = 3x 2
x + 2y = 5
Since one equation is already solved in terms of y , we will u
Math 127
Exam 4 - Version 1
06/10/2011
You MUST show appropriate work to receive credit
Name:
1. (5 points each) Solve the following systems of linear equations:
3x 4y = 8
5x 2y = 11
We multiply the second equation by 2, giving the following:
3x 4y = 8
10
Math 127 - Exam 3
6/03/2011
You MUST show appropriate work to receive credit
Name:
1. Given the points A(6, 3) and B (1, 7):
(a) (5 points) Find d(A, B ) (round your answer to 2 decimal places)
d(A, B ) = (6 1)2 + (3 7)2 = 52 + (10)2 = 25 + 100 = 125 = 5
Math 127 - Exam 2
Version 1
05/27/2011
Name:
You MUST show appropriate work to receive credit
1. (3 points each) True or False: (Be sure to write your answer to each part legibly)
(a) If x(x + 3) = 5, then x = 5, or x = 2.
False. The diculty here is that
Math 127 - Exam 1 Solutions
Version 1
05/20/2011
Name:
You MUST show appropriate work to receive credit
1. (3 points) Express the product 3 105
3 105
5 103 in scientic notation.
5 103 = 15 1053 = 15 102 = 1.5 103
2. (3 points) Rewrite the expression |4
S
Math 127
Chapter 3 Quiz Solutions
06/16/2011
Name:
1. (5 points) Let f (x) = 2x2 + 5x 3.
(b) Find the x-intercepts and y -intercepts of f (x).
(a) Find the vertex and axis of symmetry.
We complete the square:
To nd the x-intercepts, notice that 2x2 + 5x 3
Math 127
Exam 1 Practice Problems
1. Express the following number in scientic notation: .0001093
1.093 104
2. Express the following number in ordinary decimal notation: 4.03267 104
40326.7
3. True or False:
(a) (a + b)c = ac + bc
Solution: True (This is o
Math 127
Exam 3 Practice Problems
1. True or False:
(a) Any two distinct points in the plane determine exactly one line.
True. This is a fairly familiar fact from Geometry.
(b) Any line can be written in the form y = mx + b.
False. This is a bit tricky, b
Math 127
Exam 2 Practice Problems
1. True or False:
(a) Every quadratic equation has two distinct real solutions.
(b) Every absolute value equation has two distinct real solutions.
(c) i4 = 1
(d) Every inequality has innitely many solutions.
(e) x = 0 is
Math 127
Exam 2 Practice Problem Solutions
1. True or False:
(a) Every quadratic equation has two distinct real solutions.
Solution: False. For example, x2 + 2x + 1 = 0 has only one solution (x2 + 2x + 1 = (x + 1)2 )
(b) Every absolute value equation has
MATH229 Lab 1 Linear Systems
Name:
Demonstrate Basic Skills
1. Use the echelon method to solve each system.
a.
4x + y = 9
3x y = 5
b. 9x 5y = 1
18x + 10y = 1
c.
3x + 5y + 2 = 0
9x + 15y + 6 = 0
2. For the system of equations, determine the number of solut