!
!Chapter 4 Notes & Assigned Problems
MAT 105 Intermediate Algebra
4.1: Properties of Exponents
!
If you remember back in earlier math, you did work with exponents.
If you recall,
! ! , where b is the base and n is the exponent.
We know the b to be the n
1.1 Using Qualitative Graphs
to Describe Situations
Recall, in your earlier math career you learned about graphs, dealing with the coordinate plane. Below is a
graph with some essential mathematical graphing concepts.
(-,+)
(-,-)
(+,+)
(+, -)
The Spring S
MAT 105 Notes for Section 3.4
Applications Involving Systems
Miss Maikner
By the time you complete this section, you should be able to do the following:
Use systems to solve word problems involving:
Mixtures of solutions
Simple Interest
Value Problems
MAT 105 Notes for Section 3.1
Systems of Equations
Miss Maikner
By the time you complete this section, you should be able to do the following:
Solve a system of equations by graphing.
Use the Intersect feature of the graphing calculator.
Know the differen
MAT 105 Notes for Section 7.3
The Square Root Property
Miss Maikner
By the time you complete this section, you should be able to do the following.
Simplify square roots.
Apply the product and quotient properties of square roots.
Rationalize the denominato
MAT 105 Notes for Section 2.3
Function Notation
Miss Maikner
By the time you complete this section, you should be able to:
Use function notation to find values.
Graph a function.
Find the domain and range of a function.
Create a function (model) for a giv
MAT 105 Notes for Section 6.5
More Factoring
Miss Maikner
By the time you complete this section, you should be able to do the following.
Factor trinomials of the form ax 2 bx c , where a 1 , by using trial and error.
Factor a polynomial by grouping.
Som
Solving a System of Linear Equations in Three Variables
Steps for Solving
Step 1: Pick two of the equations in your system and use elimination to get rid of one of the
variables.
Step 2: Pick a different two equations and eliminate the same variable.
Step
1.2 Graphing Linear Equations
SOLUTION - The solution of an equation is the value(s) of the variable(s) that make the
equation a true statement.
Recall, that the difference between an expression and an equation is that you can only
SIMPLIFY an expression
MAT 105 Notes for Section 3.2
Solving Systems Algebraically
Miss Maikner
By the time you complete this section, you should be able to do the following:
Use the substitution method to solve a system of equations.
Use the elimination (also called addition
Section 7.4
Solving Quadratic Equations by
Completing the Square
Perfect Square Trinomial
Perfect Square Trinomial Property
Property
2
x
For a perfect-square trinomial f the form + bx + c,
dividing b by 2 and squaring the result gives us c:
Sec5on 7.4
MAT 105 Notes for Section 1.5
Finding Linear Equations
Miss Maikner
By the time you complete this section, you should be able to do the following:
Find the equation of a line, knowing the slope of the line and a point on the line.
Find the equation of a l
MAT 105 Notes for Section 1.6
Functions
Miss Maikner
By the time you complete this section, you should be able to do the following:
Find the domain and range of a function.
Tell the difference between a relation and a function.
Use the Rule of Four with f
MAT 105 Notes for Section 2.1
Using Lines to Model Data
Miss Maikner
By the time you complete this section, you should be able to:
Create a scatterplot for a set of data
Interpolate and extrapolate in order to make estimates.
Determine when (and if) a
MAT 105 Notes for Section 7.5
The Quadratic Formula
Miss Maikner
By the time you complete this section, you should be able to do the following:
Use the quadratic formula to solve equations.
Use the discriminant in order to be able to determine the type
MAT 105 Notes for Section 6.2
Multiplying Polynomials
Miss Maikner
By the time you complete this section, you should be able to do the following.
Multiply polynomials by using the distributive property.
Multiply polynomials, where each polynomial contai
MAT 105 Notes for Section 6.1
Polynomial Functions
Miss Maikner
By the time you complete this section, you should be able to do the following:
Recall the terminology used with polynomials: term, monomial, binomial, trinomial,
degree, coefficient, like ter
MAT 105 Notes for Section 1.4
Slopes & Rates of Change
Miss Maikner
By the time you complete this section, you should be able to do the following:
By looking at an equation of the form y = mx + b, know what m and b represent.
Graph a linear equation by
!
!Chapter 4 Notes & Assigned Problems
MAT 105 Intermediate Algebra
In your book, to check your understanding you are to:
Open to page 196 in your book.
Do #22 in the space below. You must write the original problem.
Do #30 in the space below. You must
MAT 105 Notes for Section 6.6
Differences of Squares
Sums/Differences of Cubes
Miss Maikner
By the time you complete this section, you should be able to do the following.
Recognize and factor a difference of two squares.
Recognize and factor a differenc
MAT 105 Notes for Section 6.4
Factoring Trinomials and using GCF
Miss Maikner
By the time you complete this section, you should be able to do the following.
Find the greatest common factor in a polynomial and factor it out.
Factor a trinomial in the form
MAT 105 Notes for Section 3.5
Linear Inequalities
Miss Maikner
By the time you complete this section, you should be able to do the following:
Solve linear inequalities.
Graph the solution set of an inequality.
Write solution sets to inequalities in interv
MAT 105 Notes for Section 6.7
Solving Polynomial Equations
Miss Maikner
By the time you complete this section, you should be able to do the following:
Solve equations involving polynomials by using the property of 0.
Apply the use of equations to findin
MAT 105 Notes for Section 2.2
Finding the Equation of a Linear Model from Data
Miss Maikner
By the time you complete this section, you should be able to do the following:
Find an equation of a linear model from a description in words.
Find an equation o
MAT 105 Notes for Section 2.4
Slope and Linear Models
Miss Maikner
By the time you complete this section, you should be able to do the following:
Find the rate of change between two quantities.
Make the connection between slope and rate of change.
Use rat
Original File: Steps_for_Regression_TI_83_and_84_.docx
Size: 19.3 KB
1)
Entering Data
o
Press STAT , then choose the EDIT menu.
o
Enter x-values (independent) into L1.
(Type a number in the first row, then press ENTER to move to the next line.
o
Press the
MAT 105 Notes for Section 1.3
Slope of a Line
Miss Maikner
By the time you work through this section, you should be able to do the following:
rise
and use it in real-life situations.
run
Calculate the slope of a non-vertical line.
Find the slopes of verti
MAT 105 Notes for Sections A.10 and A.11
Solving Linear Equations
Miss Maikner
By the time you complete these sections, you should be able to do the following:
Solve linear equations in one variable.
Solve linear equations in more than one variable.
The
MAT 150Introduction to Probability and Statistics
Online Syllabus-Fall 2015
Course Title: Introduction to Probability and Statistics
Course Number: MAT 150-N1
Instructor: Dr. Barbara Kistler
Office in SH 7 C
Email: bkistler@lccc.edu
Phone: 610-799-1073
Of