Elementary Algebra

Chapter Eight – Graphs of linear equations

You will need graph paper for this chapter

Objectives:

a) Solve applied problems involving graphs.
b) Graph linear equations.
c) Find x and y intercepts and graph using intercepts.
d) Graph equations of the form x = a and y = b.
e) Given the coordinates of two points, find the slope of the line .
f) Find the slope of a line from an equation.

NOTE: In order to receive full credit for your homework, the as signed problems
must be written out and all work must be shown

Homework: (Read 8.1 – 8.4; pp. 596 – 846)

Work the following assigned exercises at the end of each section.

Sec. 8.1 1, 3, 8, 10, 11, 15, 21, 24-34 (even), 43, 57, 61	pp. 602-605
Sec. 8.2 2, 6, 10, 14, 17, 21, 23, 27, 33, 37, 41, 47	pp 617-622
Sec. 8.3 1, 6, 11, 13, 17, 27, 28, 35, 38, 39, 43, 45, 51, 54, 71	pp. 628-633
Sec. 8.4 2, 6, 8, 10, 13, 16, 18 ,20, 22, 27, 34, 38, 44, 52	pp. 641-646

Chapter Nine – Polynomials: Operations

Objectives:
a) Evaluate algebraic expressions containing exponents.
b) Simplify expressions using various exponent rules .
c) Write expressions without negative exponents .
d) Express numbers in scientific notation and reverse.
e) Collect like terms of a polynomial.
f) Identify the degree of a polynomial and classify the polynomial.
g) Add and subtract polynomials .
1. Multiply and divide polynomials

NOTE: In order to receive full credit for your homework, the assigned problems
must be written out and all work must be shown.

Homework: (Read 9.1 – 9.8; pp. 659 – 739)

Work the following assigned exercises at the end of each section. 

Sec. 9.1 2, 12, 23, 29, 32, 35, 42, 43, 49, 57, 64, 68, 73, 77, 89, 96,103	pp. 665-668
Sec. 9.2 2, 8, 15, 19, 35, 42, 47, 50, 53, 58, 64, 69, 71, 75, 77, 87, 91,105, 110	pp 677-681
Sec. 9.3 3, 12, 14, 18, 57, 62, 67, 72, 77, 80, 84, 97, 98, 113	pp. 690- 695
Sec. 9.4 7, 11, 14, 19, 24, 33, 37, 40, 42 ,46, 52, 62, 83	pp. 700-703
Sec. 9.5 6, 11, 15, 22, 29, 37, 42, 54, 58, 68, 84, 87	pp. 708-710
Sec. 9.6 2, 10, 23, 30, 39, 58, 62, 72, 79, 83, 97, 105	pp. 717-720
Sec. 9.7 8, 9, 12, 27, 34, 40, 48, 70, 92, 97	pp. 725-729
Sec. 9.8 2, 13, 23, 30, 32, 36, 40, 49, 56, 66	pp. 736-739

Chapter Ten – Polynomials: Factoring

Objectives:

a) Factor monomials
b) Factoring out the greatest common factor

Homework: (Read 10.1 - 10.4; pp. 749 – 779)

Work the following assigned exercises at the end of each section.

Sec. 10.1 11, 14, 21, 26, 33, 41, 44, 46	pp. 753-754
Sec. 10.2 3, 6, 13, 25, 30, 41, 44, 49, 55, 62	pp. 761-764

Chapter Twelve – Graphs, Functions, and Applications

Objectives:

a) Draw the graph of a function.
b) Given an equation, derive the slope-intercept form and determine the slope and
y-intercept.
c) Graph two equations, to determine whether they are parallel or perpendicular.

NOTE: In order to receive full credit for your homework, the assigned problems
must be written out and all work must be shown.

Homework: (Read 12.4; pp. 952 – 959)

Work the following assigned exercises at the end of each section.

Sec. 12.4 8, 15, 20, 31, 46, 52, 71, 75 pp. 960-963

Chapter Thirteen – Systems of Equations

Objectives:

a) Determine if an ordered pair is a solution of a system of equations
b) Solve a system of equations by graphing, by substitution and/or by
addition.
c) Identify systems of equations that have no solution or an infinite number
of solutions.
d) Classify a system of equations as either consistent or inconsistent and
either dependent or independent.
e) Use a system of equations to solve application problems.
f) Solve a system of equations in three variables .
g) Solve supply and demand problems, and break even application problems.

NOTE: In order to receive full credit for your homework, the assigned problems
must be written out and all work must be shown.

Homework: (Read 13.1 - 13.4; pp. 989 – 1026, 13.7; pp. 1035 - 1042)

Work the following assigned exercises at the end of each section.

Sec. 13.1 4, 8, 12, 18, 23, 25	pp. 995-997
Sec. 13.2 3, 6, 12, 17, 20, 22, 29	pp 1002-1003
Sec. 13.3 2, 8, 11, 15, 20, 21, 26, 30, 31, 46	pp. 1011-1013
Sec. 13.4 2, 5, 10, 20, 27, 29, 46	pp. 1023-1026
Sec. 13.7 2, 7, 11, 12, 17	pp. 1046 - 1048

Chapter Fifteen – Radical Expressions, Equations & Functions

OBJECTIVES:
a) Evaluate square roots and the graph of
b) Examine cube roots , fourth roots, nth roots.
c) Use rational exponents to evaluate and simplify expressions.
d) Add, subtract, multiply and divide radical expressions.

Homework: (Read 15.1 – 15.8; pp. 1119 – 1187)

Work the following assigned exercises at the end of each section.

Sec.15.1 pp. 1119 – 1130 1 – 27 odd, 42 – 78 by 6’s, 91
Sec.15.2 pp. 1131 – 1137 4 – 84 by 4’s
Sec.15.3 pp. 1138 – 1146 4 – 88 by 4’s, 97 – 99
Sec.15.4 pp. 1147 – 1152 5 – 70 by 5’s, 83 – 84

REVIEW FOR FINAL EXAMINATION

The Final Examination for this course consists of approximately fifty computational problems. The
problems are similar to those that you have worked to complete each chapter. One way to review all of
the material from this course is to work the Summary and Review Exercises located at the end of each
chapter. These highlights review the major definitions and concepts of the chapter, and an example of
each concept is presented. If you have any difficulties you should review that section of the chapter more
thoroughly. If you have any questions please get them answered before the scheduled final exam date.
We will have review session(s) prior to the exam where more detailed information will be available.

The following is a partial list of the tasks that may be included on the Final Examination.

1. Combine like terms in a given expression
2. Solve equations, linear inequalities, literal equations and absolute value
equation and inequalities
3. Evaluate expressions containing positive and/or negative exponents
4. Add and subtract monomials, binomials and trinomials
5. Multiply monomials, binomials and trinomials
6. Divide monomials and divide by binomials
7. Given sufficient information write the equation of a straight line
8. Given two points, find the slope of the line containing them
9. Solve systems of equations by various methods
10. Graph equations and inequalities
11. Solve systems of equations by graphing, substitution and / or addition.
12. Solve all types of application problems.

G O O D L UC K ! ! - S T UD Y H A R D ! !