Course Syllabus

Lesson

Objectives

Quiz

Assignment

1: Solving Linear Equations

1.1a Solve linear equations using a general strategy
1.1b Solve a formula for a specific variable
1.1c Solve mixture and uniform motion applications
1.2a Use a problem-solving strategy for word problems
1.2b Solve number word problems
1.2c Solve percent applications
1.2d Solve simple interest applications
1.3a Solve a formula for a specific variable
1.3b Use formulas to solve geometry applications
1.4a Solve coin word problems
1.4b Solve ticket and stamp word problems
1.4c Solve mixture word problems
1.4d Solve uniform motion applications

20 multiple-choice questions 

No Assignment

2: Solving Linear Inequalities

2.1a Graph inequalities on the number line
2.1b Solve linear inequalities
2.1c Translate words to an inequality and solve
2.1d Solve applications with linear inequalities
2.2a Solve compound inequalities with "and"
2.2b Solve compound inequalities with "or"
2.2c Solve applications with compound inequalities
2.3a Solve absolute value equations
2.3b Solve absolute value inequalities
2.3c Solve applications with absolute value

20 multiple-choice questions 

No Assignment

3: Graph Linear Equations and Inequalities

3.1a Plot points in a rectangular coordinate system
3.1b Graph a linear equation by plotting points
3.1c Graph vertical and horizontal lines
3.1d Find the x- and y- intercepts
3.1e Graph a line using the intercepts
3.2a Find the slope of a line
3.2b Graph a line given a point and the slope
3.2c Graph a line using its slope and intercept
3.2d Choose the most convenient method to graph a line
3.2e Graph and interpret applications of slope-intercept
3.2f Use slopes to identify parallel and perpendicular lines
3.3a Find an equation of the line given the slope and y-intercept
3.3b Find an equation of the line given the slope and a point
3.3c Find an equation of the line given two points
3.3d Find an equation of a line parallel to a given line
3.3e Find an equation of a line perpendicular to a given line
3.4a Verify solutions to an inequality in two variables
3.4b Recognize the relation between the solutions of an inequality and its graph
3.4c Graph linear inequalities in two variables
3.4d Solve applications using linear inequalities in two variables

20 multiple-choice questions 

Assignment 1: Lesson 1-3 

There are 5 questions on this assignment, worth 5 points each, for a total of 25 points.

4: Functions and Their Graphs

4.1a Find the domain and range of a relation
4.1b Determine if a relation is a function
4.1c Find the value of a function
4.2a Use the vertical line test
4.2b Identify graphs of basic functions
4.2c Read information from a graph of a function

20 multiple-choice questions 

No Assignment

5: Systems of Linear Equations

5.1a Determine whether an ordered pair is a solution of a system of equations
5.1b Solve a system of linear equations by graphing
5.1c Solve a system of equations by substitution
5.1d Solve a system of equations by elimination
5.1e Choose the most convenient method to solve a system of linear equations
5.2a Solve direct translation applications
5.2b Solve geometry applications
5.2c Solve uniform motion applications
5.3a Solve mixture applications
5.3b Solve interest applications
5.3c Solve applications of cost and revenue functions

20 multiple-choice questions 

Assignment 2: Lesson 4-5 

There are 5 questions on this assignment, ranging in value from 4 to 7 points, for a total of 25 points.

Midterm Exam

6: Systems of Linear Equations and Inequalities

6.1a Determine if an ordered triple is a solution of a system of three linear equations with three variables
6.1b Solve a system of linear equations with three variables
6.1c Solve applications using systems of linear equations with three variables
6.2a Write the augmented matrix for a system of equations
6.2b Use row operations on a matrix
6.2c Solve systems of equations using matrices
6.3a Evaluate the determinant of a 2 X 2 matrix
6.3b Evaluate the determinant of a 3 X 3 matrix
6.3c Use Cramer's Rule to solve systems of equations
6.3d Solve applications using determinants
6.4a Determine whether an ordered pair is a solution of a system of linear inequalities
6.4b Solve a system of linear inequalities by graphing
6.4c Solve applications of systems of inequalities

20 multiple-choice questions 

No Assignment

7: Polynomials and Polynomial Functions

7.1a Determine the degree of polynomials
7.1b Add and subtract polynomials
7.1c Evaluate a polynomial function for a given value
7.1d Add and subtract polynomial functions
7.2a Simplify expressions using the properties for exponents
7.2b Use the definition of a negative exponent
7.2c Use scientific notation
7.3a Multiply monomials
7.3b Multiply a polynomial by a monomial
7.3c Multiply a binomial by a binomial
7.3d Multiply a polynomial by a polynomial
7.3e Multiply special products
7.3f Multiply polynomial functions
7.4a Divide monomials
7.4b Divide a polynomial by a polynomial
7.4c Divide polynomials using long division
7.4d Divide polynomials using synthetic division
7.4e Divide polynomial functions
7.4f Use the remainder and factor theorems

20 multiple-choice questions 

No Assignment

8: Factoring Polynomials

8.1a Evaluate the square root of a negative number
8.1b Add and subtract complex numbers
8.1c Multiply complex numbers
8.1d Divide complex numbers
8.1e Simplify powers of i
8.2a Find the greatest common factor of two or more expressions
8.2b Factor the greatest common factor from a polynomial
8.2c Factor by grouping
8.3a Factor trinomials of the form x2 + bx + c
8.3b Factor trinomials of the form ax2 + bx + c using trial and error
8.3c Factor trinomials of the form ax2 + bx + c using the “ac” method
8.3d Factor using substitution
8.4a Factor perfect square trinomials
8.4b Factor differences of squares
8.4c Factor sums of squares
8.4d Factor sums and differences of cubes
8.5 Recognize and use the appropriate method to factor polynomials completely
8.6a Use the Zero Product Property
8.6b Solve quadratic equations by factoring
8.6c Solve equations with polynomial functions
8.6d Solve applications modeled by polynomial equations
8.7a Use the Rational Zero Theorem to find rational zeros
8.7b Find zeros of polynomial functions
8.7c Use the Linear Factorization Theorem to find polynomials with given zeros
8.7d Use Descartes’ Rule of Signs
8.7e Solve real-world applications of polynomial equations

20 multiple-choice questions 

Assignment 3: Lessons 6-8

There are 4 questions on this assignment, ranging in value from 3 to 10 points, for a total of 25 points.

9: Rational Expressions

9.1a Determine the values for which a rational expression is undefined
9.1b Simplify rational expressions
9.1c Multiply rational expressions
9.1d Divide rational expressions
9.1e Multiply and divide rational functions
9.2a Add and subtract rational expressions with a common denominator
9.2b Add and subtract rational expressions whose denominators are opposites
9.2c Find the least common denominator of rational expressions
9.2d Add and subtract rational expressions with unlike denominators
9.2e Add and subtract rational functions
9.3a Simplify a complex rational expression by writing it as division
9.3b Simplify a complex rational expression by using the LCD

20 multiple-choice questions 

No Assignment

10: Rational Equations

10.1a Solve rational equations
10.1b Use rational functions
10.1c Solve a rational equation for a specific variable
10.2a Solve proportions
10.2b Solve similar figure applications
10.2c Solve uniform motion applications
10.2d Solve work applications
10.2e Solve direct variation problems
10.2f Solve inverse variation problems
10.3a Solve rational inequalities
10.3b Solve an inequality with rational functions

20 multiple-choice questions 

Assignment 4: Lessons 9-10

There are 4 questions on this assignment, ranging in value from 5 points to 8 points each, for a total of 25 points.

Final Exam