Section 2.3 Slope and Intercepts of a Line:
The slope, m, of a line that passes through the points A = ( x1 , y1 ) and B = ( x 2 , y 2 ) is given by
the slope formula:
m=
Positive
Slope
y 2 y1 rise
=
.
x2 x1 run
Negative
Slope
Zero Slope
Undefined Slope
1
Math 1300
Daily Poppers 06
Bubble: Your PSID#; Number 06
Note: You are advised to use PENCIL on all
bubbling forms. If you make a bubbling error, your
paper will not be scored. If you mark your bubbling
form in ink and cross out one box and bubble in
anot
Math 1300 Review for Test 3 Solutions 1. 2. 3. 4. Yes, degree 2, leading coefficient 9 No, not all exponents are whole numbers Yes, degree 9, leading coefficient 14 No, not all exponents are whole numbers
5. 19 x 2 5 x + 3 6. 9 x 2 9 x + 21 7. 70 x 4 88 x
Math 1300
Final Exam Review
1. Evaluate each:
a. 26 17 11
b. 9 21 + 50
2. Find the LCM of each set of numbers:
a. 18, 34
b. 12, 24, 42
3. Simplify each:
6 x 2 y 3 x 5
a.
6 4
2x y
2
4 x 1 y 4 x 3
b . 3 2
xy
4. Evaluate each:
a.
18 2 9
3 + 52 1
b.
Math 1300 Review for Test 3 Determine which of these are polynomials. If the expression is not a polynomial, state why. If the expression is a polynomial, state its degree and leading coefficient. 1. 9 x 2 7 x + 5 1 x 2. 2 x 2 4x 3. 14 x 4 y 5 12 x 2 y 3
Math 1300
Final Exam Review
1. Evaluate each:
a. 26 17 11
b. 9 21 + 50
2. Find the LCM of each set of numbers:
a. 18, 34
b. 12, 24, 42
3. Simplify each:
6 x 2 y 3 x 5
a.
6 4
2x y
2
4 x 1 y 4 x 3
b . 3 2
xy
4. Evaluate each:
a.
18 2 9
3 + 52 1
b.
Math 1300
Review for Test 1
06
1. Heres a set of numbers: 2.6, 2.111., , , 2.78, 7,
80
a. Find all of the rational numbers.
b. Find all of the integers
c. Find all of the real numbers
d. Find all of the irrational numbers.
( 2)
2
, 8.1
2. Compute:
a. -5 7
This Week in Math 1300
Tuesday: Popper 1 in class, Quiz 1 closes
(Online Assignments tab at casa.uh.edu),
continue making reservations for Test 1 on
Proctored Exams tab at casa.uh.edu
Wednesday: Homework 4 due at 11:59 p.m.
(enter your answers in the corr
Math 1300
Section 1.6 Notes
Solving Linear Equations
Steps:
1) Distribute if the equation has parentheses
2) Combine any like terms
3) Isolate the variable by doing addition/subtraction
before multiplication/division
Examples:
1. x + 2 =
8
1
Math 1300
2.
Math 1300
Daily Poppers 04
BUBBLE IN: Assign #04; Your PSID#
Solve the inequality. Express your answer in interval
notation.
1. Write the following in interval notation: x > 3
A. (-,3)
B. (3, )
C. (-, 3]
D. [3, )
BUBBLE IN: Assign #04; Your PSID#
2. Solve
Math 1300 Rational Functions Definition: A rational function is a function that contains a rational expression.
Section 5.6 Notes
Working with rational functions Rational functions and rational expressions are very similar, except rational functions are r
Math 1300 Addition and Subtraction of Rational Expressions
Section 5.3 Notes
Addition When we add or subtract rational expressions, we do it similarly to the way we do addition or subtraction of fractions: we have to have a common denominator. If the deno
Math 1300
Daily Poppers 22
Bubble: YOUR PSID#, Number 22
x 2 16 x 2 36
1. Simplify:
x6
x4
A. x 2 2 x 24
B. x 2 2 x 24
x6
C.
x4
D. x 2 10 x 24
E. NOA
2. What is the LCD?
A.
B.
C.
D.
E.
3(x + 1)
3(x + 1)(3x + 6)
3(x + 1)(x + 2)
(x + 1)(x + 2)
NOA
2x 5
x1
x7
Math 1300 Complex Fractions
Section 5.4 Notes
What we call a complex fraction in this section is a fraction made up of one or more fractions. Since the word complex is generally reserved for a concept you'll learn in College Algebra, a more accurate descr
Math 1300
Popper 23
Bubble in your PSID # and Number 23.
x2 4 x2 1
1. Simplify:
x 1 x 2
A. ( x + 1) ( x + 2 )
C.
x+2
x +1
B.
( x 1) ( x 2 )
D.
x2
x 1
2. C
3. D
4. What is the LCD?
A. 10x
B. 5x
1
7
+
5 x 10 x
C. 50 x 2
D. 10 x 2
5. E
6. C
7. Suppose f ( x)
Math 1300
Section 5.5 Notes
Rational Equations Definition: Equations that contain at least one rational expression are called rational equations. Solving rational equations In this section, we will be solving rational equations. You'll know that you're do
Math 1300
Daily Poppers 24
Bubble: YOUR PSID#, Number 24
15 x 2 y 4 z 9
1. Simplify:
6 x 2 yz 3
A. 9 y 3 z 6
5 y3 z 6
B.
3
5 y3 z 6
C.
2
5 x 4 y 5 z12
D.
2
E. NOA
8 x 3 + 24 x 5
2. Simplify:
48 x 3 + 32 x 5
A.
1 + 3x 2
3 + 2 x2
23
B.
30
1 + 3x 2
C.
2 3 +
Math 1300 Rational Equations
Section 5.5 Notes
Definition: Equations that contain at least one rational expression are called rational equations. Solving rational equations In this section, we will be solving rational equations. You'll know that you're do
Math 1300
Daily Poppers 02
BUBBLE: Assign # 02; Your Grading ID Number!
1. Write using interval notation: 5 x < 1
A.
B.
C.
D.
E.
[ 5,1]
( 5,1)
[ 5,1)
( 5,1]
None of the above
BUBBLE: Assign # 02; Your Grading ID Number!
2. Write using interval notation: x
Math 1300
Review for Test 1
1. Heres a set of numbers:
06
2.6, 2.111., , , 2.78, 7,
80
( 2)
2
, 8.1
a. Find all of the rational numbers.
b. Find all of the integers
c. Find all of the real numbers
d. Find all of the irrational numbers.
POPPERS!
1. Which n
This Week in Math 1300
Tuesday: Popper 15 in class. Make a
reservation for Test 3.
Wednesday: Homework 17 due at 11:59 p.m.
Thursday: Popper 16 in class
Friday: Quiz 8 is due at 11:59 p.m.
Math 1300
Review for Test 3
Determine if each expression is a polynomial. If it is,
state the degree and the leading coefficient.
1. 12 x 2 y 15 x 4 y 3
1
2
2. 5 x 3 x 4 + 1
Find the greatest common factor of each set of
monomials.
3. 25 x 3 y 2 z 5 , 35
CHAPTER 1 Introductory Information and Review
Section 1.2:
Integers
Operations with Integers
Operations with Integers
Absolute Value:
26
University of Houston Department of Mathematics
SECTION 1.2 Integers
Addition of Integers:
Example:
Solution:
Subtrac
CHAPTER 1 Introductory Information and Review
Section 1.3:
Fractions
Greatest Common Divisor and Least Common Multiple
Addition and Subtraction of Fractions
Multiplication and Division of Fractions
Greatest Common Divisor and Least Common Multiple
Grea
CHAPTER 1 Introductory Information and Review
Section 1.4:
Exponents and Radicals
Evaluating Exponential Expressions
Square Roots
Evaluating Exponential Expressions
Two Rules for Exponential Expressions:
Example:
58
University of Houston Department of M
SECTION 1.5 Order of Operations
Section 1.5:
Order of Operations
Evaluating Expressions Using the Order of Operations
Evaluating Expressions Using the Order of Operations
Rules for the Order of Operations:
1) Operations that are within parentheses and ot
CHAPTER 1 Introductory Information and Review
Section 1.6:
Solving Linear Equations
Linear Equations
Linear Equations
Rules for Solving Equations:
Linear Equations:
Example:
82
University of Houston Department of Mathematics
SECTION 1.6 Solving Linear Eq
CHAPTER 1 Introductory Information and Review
Section 1.7:
Interval Notation and Linear Inequalities
Linear Inequalities
Linear Inequalities
Rules for Solving Inequalities:
86
University of Houston Department of Mathematics
SECTION 1.7 Interval Notation
CHAPTER 1 Introductory Information and Review
Section 1.8:
Absolute Value and Equations
Absolute Value
Absolute Value
Equations of the Form |x| = C:
Special Cases for |x| = C:
Example:
96
University of Houston Department of Mathematics
SECTION 1.8 Absolu
9/27/2016
Topics and Activities
Evaluation Functions
Unit 2
Clinical Procedures
Chronological age
Understanding
standardized test
results
Understanding criterion
reference test results
Understanding OME
Demonstrating OME
and test administration
Evalu
Diaphragm
External
Intercostal
Muscles
Serratus
Posterior
Superior
Scalenes
Expands > +lattens the muscle in order to expand
the thoracic cavity > lungs expand because of
their attatchment to thoracic cavity.
contract to elevate rib cage