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The Algebra Buster
The Algebra Buster


May 24th









May 24th

LEARNING OUTCOMES

WEEK TOPIC BC OUTCOMES
1 Interval Notation

Linear Equations in Two Variables

Slope of a Line

Ex press the union and intersection of intervals in simplest interval form.

Determine the x- and y- intercepts of a line.
Graph a linear equation .

Determine the slope of a line.

2 Equations of a Line

Solving Systems by Graphing

Solving Systems by Substitution

Determine if two lines are parallel, perpendicular, or neither.
Determine an equation of a line.

Solve a system of two linear equations in two unknowns graphically.

Solve a system of two linear equations in two unknowns algebraically .

3 Solve Systems by the Addition Method

Applications of Systems of Equations

Solve a system of two linear equations in two unknowns algebraically.

Solve a system of two linear equations in two unknowns using related applied problems.

4 Introduction to Relations

Introduction to Functions

Graphs of Linear Functions

Specify the domain and range of a relation.

Given a set of ordered pairs , a graph, or a mapping, determine whether or not itis a function.
Find the value of a function for a given value of the domain.

5 Long Division of Polynomials

GCF & Factor by Grouping

Factoring Trinomials

long division of polynomials.

Factor out the greatest common factor.
Factor by grouping using pairs.

Factor trinomials, including perfect square trinomials.

6 Factoring Binomials

Solve Eq. Using the Zero Product Rule

Factor the difference of two squares.
Factor the sum and difference of two cubes.

Solve quadratic equations by factoring.

7 Rational Expressions

Multiply & Divide Rational Expressions

Identify when a rational expression is undefined .
Write rational expressions in lowest terms.

Multiply and divide rational expressions.

8 Add & Subtract Rational Expressions

Complex Fractions

Add and subtract rational expressions.

Simplify complex fractions.

9 Rational Equations

Appl. of Proportions & Work Problems

Solve equations involving rational expressions.

Solve literal equations involving rational expressions.
Solve applied problems involving rational expressions.

10 Definition of an nth-Root

Rational Exponents

Simplifying Radical Expressions

Simplify expressions involving rational exponents.

Simplify radical expressions.

11 Addition and Subtraction of Radicals

Multiplication of Radicals

Rationalization

Add and subtract radical expressions.

Multiply and divide radical expressions.

Rationalize the denominator of radical expressions.

12 Radical Equations

Complex Numbers

Solve radical equations excluding equations requiring double squaring.

Perform operations with complex numbers, including powers of i .

13 Sq. Root Prop. & Completing the Sq.

Quadratic Formula

Solve quadratic equations using the square root property.
Solve quadratic equations by completing the square.

Solve quadratic equations by using the quadratic formula.
Solve applied problems involving quadratic equations.

14 Equations in Quadratic Form

Compound Inequalities

Apply the methods for solving quadratic equations to rational and radical equations.

Solve compound linear inequalities in one variable , and express the solutions in interval notation.

15 Absolute Value Equations

Linear Inequalities in Two Variables

Solve absolute value equations of the form |ax + b| = k

Graph the solution set for a system of two linear inequalities.

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