Textbook questions for A30


Units of Study


Systems of Linear Equations
1.1 Solving Systems of Linear Eqautions by Graphing (by hand)
1.2 Solving Systems of Linear Eqautions by Graphing (with TI-83 calculator)
1.3 Classifying Systems Intro
1.3 Classifying Systems Example
1.4 Solving Systems of Linear Equations Algebraically Intro
1.4 Solving Systems of Linear Equations by Elimination (easy)
1.4 Solving Systems of Linear Equations by Elimination (harder)
1.5 Solving Systems of Linear Equations by Substitution
1.6 Solving Systems of Linear Equations with Rational Coefficients
1.7 Solving Word Problems using Systems of Linear Equations

Data Analysis
2.3 Measures of Central Tendency (finding mean, median and mode manually)
2.3 Measures of Central Tendency (finding mean, median and mode using a calculator -- TI-83)
2.4 Finding range, quartiles, interquartile range and outliers (TI-83 used)
2.4 Drawing a 50% box and whisker plot (by hand and with TI-83 calculator)
2.5 Calculating percentile rank (given a data set)

Functions
3.1 Function Notation
3.1 Evaluating functions on a TI-83 calculator
3.2 Function operations
3.2 Function composition
3.3 Determining if a relation is a function, and classifying as one-to-one or many-to-one
3.4 Determining the equation of a linear function given a slope and y-intercept, or given a slope and a point
3.4 Determining the equation of linear functions that are vertical or horizontal lines
3.4 Determining the equation of a linear function given two points
3.4 Determining the equation of a parallel/perpendicular linear function given a point and another line
3.5 Sketching the graph of a quadratic, given the function in vertex-graphing form
3.5 Determining the equation of a quadratic, given the vertex and a point
3.5 Converting a quadratic into vertex-graphing form, and identifying characteristics
3.5 Sketch the graph of a quadratic, given a quadratic function in standard form
3.6 Changing a quadratic from general form to vertex-graphing form (easy)
3.6 Changing a quadratic from general form to vertex-graphing form (harder)
3.6 Changing a quadratic from general form to vertex-graphing form (harder -- with fractions)
3.7 Using the vertex formula
3.8 Determining the equation and sketching an inverse variation

Factoring Polynomials and Simplifying Rational Expressions
4.1 Factoring a trinomial square
4.1 Factoring a trinomial with a coefficient of 1 in front of the quadratic term (sum and product)
4.1 Factoring a trinomial with a coefficient other than 1 in front of the quadratic term (decomposition)\
4.2 Factoring a sum of cubes (easy)
4.2 Factoring a sum of cubes (harder)

4.3 Remainder Theorem
4.7 Solving Equations Containing Rational Expressions
4.7 Solving Equations Containing Rational Expressions

Exponents and Radicals
5.1 Rational Exponents Example (positive exponent)
5.1 Rational Exponents Example (negative exponent)
5.2 Rational Exponents (multiple steps)
5.3 Convert from radical notation to power notation
5.3 Simplifying Radicals Example
5.4 Simplifying Radicals (conjugates) (q62 p163)
5.5 Zero product property (sum and product factoring) (q19 p165)
5.5 Solve a quadratic by factoring (q25 p165)
5.6 Solve a quadratic using the square root property (fractions) (q9 p167)
5.6 Solve a quadratic using the square root property (q17 p167)
5.7 Solve a quadratic by completing the square (q17 p170)
5.8 Solve a quadratic using the quadratic formula
5.8 Solve a quadratic using the quadratic formula (no solution)
5.9 Solving an absolute value equation
5.9 Solving an absolute value equation (1 solution -- why and when to check your answers)
5.10 Solve a radical equation (simple)
5.10 Solve a radical equation (extra variable outside radical)
5.10 Solving a radical equation (2 radicals -- harder)

Counting (Combinations and Permutations)
6.1 Fundamental Counting Principle (creating 4 letter arrangements)
6.1 Fundamental Counting Principle (creating 3 digit numbers)
6.2 Permutation Example
6.3 Permutations with repetition (part 1) (part 2)
6.4 Circular Permutations with restrictions (part 1) (part 2) (part 3)
6.5 Combinations from one set
6.6 Combinations from several sets

Angles and Polygons
7.1 Finding the midpoint of two coordinates
7.2 Find the distance between two coordinates
7.5 Determining which quadrant an angle could lie, given a set of inequalities


Final Reviews

Review done in class - MathA30FinalReview_sansTrig.pdf
Answers for review done in class - Math A30 Final Review Answers
Extra review - HoffmanMathA30FinalReview.pdf (HoffmanAnswerKey.pdf)