Summary of changes in Math 30 effective fall 2014:
We now start the course with section 2.3. You may want to give a quick review of chapter 1 and sections 2.1 and 2.2.
These are all topics taught in math 20. Topics added with the new course outline include sections 7.4 - 7.7.
INTRODUCTORY AND INTERMEDIATE ALGEBRA 4TH EDITION BY ROBERT BLITZER
SECTION OBJECTIVES/NOTES
STUDENTS SHOULD BE
TOPIC
PROFICIENT IN THE SKILLS
REPRESENTED BY THE
FOLLOWING RANGE OF ITEMS
IN THE BLITZER PROBLEM SETS
2.3
Full coverage
1-77 odd
SOLVING
LINEAR
 Solve linear equations
EQUATIONS
 Solve linear equations containing fractions
 Solve linear equations containing decimals
 Identify equations with no solution or infinity
many solutions
 Solve applied problems using formulas
FORMULAS AND
PERCENTS
2.4
Full coverage
 Solve a formula for a variable
 Express a percent as a decimal
 Express a decimal as a percent
 Use the percent formula
 Solve applied problems involving percent
change
1-41, 51-71 odd
AN
INTRODUCTION
TO PROBLEM
SOLVING
2.5
Full coverage
 Translate English phrases into algebraic
expressions
 Solve algebraic word problems using linear
equations
1-45 odd
PROBLEM
SOLVING IN
GEOMETRY
2.6
Full coverage
 Solve problems using formulas for perimeter
and area
 Solve problems using formulas for a circle’s
area and circumference
 Solve problems using formulas for volume
 Solve problems involving the angles of a
triangle
1-35, 51-53, 61 odd
SOLVING
LINEAR
INEQUALITIES
2.7
Full coverage
 Graph the solutions of an inequality on a
number line
 Use interval notation
 Understand properties used to solve linear
inequalities
 Solve linear inequalities
 Identify inequalities with no solution of
infinitely many solutions
 Solve problems using linear inequalities
1- 89 odd
GRAPHING
LINEAR
EQUATIONS IN
TWO
VARIABLES
3.1
Full coverage
 Plot ordered pairs in the rectangular
coordinate system
 Find coordinates of points in the rectangular
coordinate system
 Determine whether an ordered pair is a
solution of an equation
 Find solutions of an equation in two variables
 Use point plotting to graph linear equations
 Use graphs of linear equations to solve
problems
1-79 odd
GRAPHING
LINEAR
EQUATIONS
USING
INTERCEPTS
3.2
Full coverage
 Use a graph to identify intercepts
 Graph a linear equation in two variables using
intercepts
 Graph horizontal or vertical lines
1-61 odd
SLOPE
3.3
Full coverage
 Compute a line’s slope
 Use slope to show that lines are parallel
 Use slope to show that lines are
perpendicular
 Calculate rate of change in applied situations
1-45 odd
THE SLOPEINTERCEPT
FORM OF THE
EQUATION OF A
LINE
3.4
Full coverage
 Find a line’s slope and y-intercept from its
equation
 Graph lines in slope-intercept form
 Use slope and y-intercept to graph
1-55 odd
Full coverage
 Use the point-slope form to write equations
of a line
 Find slopes and equations of parallel and
perpendicular lines
1-55 odd
Ax  By  C
THE POINTSLOPE FORM OF
THE EQUATION
OF A LINE
3.5
SOLVING
SYSTEMS OF
LINEAR
EQUATIONS BY
GRAPHING
4.1
Full coverage
 Decide whether an ordered pair is a
solution of a linear system
 Solve systems of linear equations by
graphing
 Use graphing to identify systems with no
solution or infinitely many solutions
 Use graphs of linear systems to solve
problems
1-41 odd
SOLVING
SYSTEMS OF
LINEAR
EQUATIONS BY
SUBSTITUTION
METHOD
4.2
Full coverage
 Solve linear systems by the substitution
method
 Use the substitution method to identify
systems with no solution or infinitely many
solutions
1-31 odd
SOLVING
SYSTEMS OF
LINEAR
EQUATIONS BY
ADDITION
METHOD
4.3
Full coverage
 Solve linear systems by the addition method
 Use the addition method to identify systems
with no solution or infinitely many solutions
 Determine the most efficient method for
solving a linear system
1-55 odd
PROBLEM USING
SOLVING
SYSTEMS OF
EQUATIONS
4.4
Full coverage
 Solve problems using linear systems
 Solve simple interest problems
 Solve mixture problems
1-41 odd
ADDING AND
SUBTRACTING
POLYNOMIALS
5.1
1-87 odd
MULTIPLYING
POLYNOMIALS
5.2
SPECIAL
PRODUCTS
5.3
Full coverage
 Understand the vocabulary used to describe
polynomials
 Add polynomials
 Subtract polynomials
 Graph equations defined by polynomials of
degree 2
Full coverage
 Use the product rule for exponents
 Use the power rule for exponents
 Use the products-to-power rule
 Multiply monomials
 Multiply a monomial and a polynomial
 Multiply polynomials when neither is a
monomial
Full coverage
 Use FOIL in polynomial multiplication
 Multiply the sum and difference of two terms
 Find the square of a binomial sum
 Find the square of a binomial difference
1-91 odd
1-87 odd
POLYNOMIALS
IN SEVERAL
VARIABLES
5.4
Full coverage
 Evaluate polynomials in several variables
 Understand the vocabulary of polynomials
in two variables
 Add and subtract polynomials in several
variables
 Multiply polynomials in several variables
Full coverage
 Use the quotient rule for exponents
 Use the zero-exponent rule for exponents
 Use the quotients-to-power rule
 Divide monomials
 Check polynomial division
 Divide a polynomial by a monomial
1-79 odd
DIVIDING
POLYNOMIALS
5.5
LONG DIVISION
OF
POLYNOMIALS
AND SYNTHETIC
DIVISION
5.6
Full coverage (covering synthetic division is
optional)
 Use long division to divide by a polynomial
containing more than one term
1-39 odd
NEGATIVE
EXPONENTS
AND SCIENTIFIC
NOTATION
5.7
1-125 odd
THE GREATEST
COMMON
FACTOR AND
FACTORING BY
GROUPING
FACTORING
TRINOMIALS –
LEADING
COEFFICIENT IS
1
FACTORING
TRINOMIALS –
LEADING
COEFFICIENT IS
NOT 1
FACTORING
SPECIAL FORMS
6.1
Full coverage
 Use the negative exponent rule
 Simplify exponential expressions
 Convert from scientific notation to decimal
notation
 Convert from decimal notation to scientific
notation
 Compute with scientific notation
 Solve applied problems using scientific
notation
Full coverage
 Find the greatest common factor (GCF)
 Factor out the GCF of a polynomial
 Factor by grouping
Full coverage
1-73 odd
6.2

Factor trinomials of the form
1-77 odd
1-85 odd
x  bx  c
2
6.3
Full coverage
 Factor trinomials by trial and error
 Factor trinomials by grouping
1-87 odd
6.4
Full coverage
 Factor the difference of two squares
 Factor perfect square trinomials
 Factor the sum of two cubes
 Factor the difference of two cubes
1-95 odd
A GENERAL
FACTORING
STRATEGY
6.5
SOLVING
QUADRATIC
EQUATIONS BY
FACTORING
6.6
7.1
RATIONAL
EXPRESSIONS
AND THEIR
SIMPLIFICATION
Full coverage
 Recognize the appropriate method for
factoring a polynomial
 Use a general strategy for factoring
polynomials
Full coverage
 Use the zero-product principle
 Solve quadratic equations by factoring
 Solve problems using quadratic equations
Full coverage
 Find numbers for which a rational expression
is undefined
 Simplify rational expressions
Full coverage
 Multiply rational expressions
 Divide rational expressions
1-111 odd
1-87 odd
1-75 odd
MULTIPLYING
AND DIVIDING
RATIONAL
EXPRESSIONS
ADDING AND
SUBTRACTING
RATIONAL
EXPRESSIONS
WITH THE
SEAME
DENOMINATOR
7.2
7.3
Full coverage
 Add rational expressions with the same
denominator
 Subtract rational expressions with the same
denominator
 Add and subtract rational expressions with
opposite denominator
1-63 odd
ADDING AND
SUBTRACTING
RATIONAL
EXPRESSIONS
W/ DIFFERENT
DENOMINATOR
COMPLEX
RATIONAL
EXPRESSIONS
7.4
Full coverage
 Find the least common denominator
 Add and subtract rational expressions with
different denominator
1-81 odd
7.5
1-39 odd
SOLVING
RATIONAL
EQUATIONS
7.6
APPLICATIONS
USING
RATIONAL
EQUATIONS &
PROPORTIONS
7.7
Full coverage
 Simplifying complex rational expressions by
dividing
 Simplify complex rational expressions by
multiplying by the LCD
Full coverage
 Solve rational equations
 Solve problem involving formulas with
rational expressions
 Solve a formula with a rational expression for
a variable
Full coverage
 Solve problems involving motion
 Solve problems involving work
 Solve problems involving proportion s
 Solve problems involving similar triangles
1-63 odd
1-59 odd
1-31 odd