List of MAT 099 Mathematical Concept Practice Sheets. (updated Spring 15)

Transcription

1 List of MAT 099 Mathematical Concept Practice Sheets (updated Spring 15)

2 Chapter 1: Linear Equations and Inequalities 1. Multiplying and Dividing Sign Numbers 2. Basics of Exponents 3. Adding and Subtracting Fractions with Common Denominators 4. Adding and Subtracting Fractions with Uncommon Denominators 5. Multiplying and Dividing Fractions 6. Order of Operations 7. Simplify an Algebraic Expression by Combining Like Terms 8. Simplify an Algebraic Expression Using the Distributive Property 9. Simplify an Algebraic Expression Using the Distributive Property and Combining Like Terms 10. Evaluate an Algebraic Expression Section 2 1. Apply the Addition Property of Equality to Solve a Linear Equation in One Variable Section 3 1. Apply the Multiplication Property of Equality to Solve a Linear Equation in One Variable Section 4 1. Apply both the Addition and Multiplication Property of Equality to Solve a Linear Equation in One Variable Section 5 1. Solve Formulas for a Specified Variable Section 6 1. Translating Word Expression into Algebraic Expressions

3 Section 8 1. Graphing Ordering Absolute Value and Evaluating Rational Numbers 2. Representing Solutions of Inequalities 3. Apply the Addition Property for Inequalities to Solve a Linear Inequality in One Variable 4. Apply the Multiplication Property of Inequalities to Solve a Linear Inequality in One Variable 5. Apply both the Addition and Multiplication Property of Equality to Solve a Linear Inequality in One Variable Section 9 1. Apply both the Addition and Multiplication Property of Equality to Solve a Linear Compound Inequality

4 Chapter 2: Linear Equations and Inequalities in Two Variables 1. Plot Ordered Pairs 2. Apply the Concepts Read a graph Section 2 1. Create Table of Values for Linear Equations in Two Variables Section 3 1. Construct Graphs by Plotting Points for Linear Equations in One Variable and Two Variables Section 4 1. Identify the x and y-intercept from Graphs 2. Find the x and y-intercept Algebraically Section 5 1. Find the Slope Given Two Points 2. Determine the Slope and y-intercept of an Linear Equation 3. Construct a Graph Using the Slope and y-intercept 4. Apply the Concepts Identify and interpret slope Section 6 1. Write the Equation of a Line Given the Slope and y-intercept 2. Write the Equation of a Line Given One Point and a Slope 3. Construct a Graph Using the Slope and a Point 4. Write the Equation of a Line Given Two Points Section 7 1. Construct a Graph of a Linear Inequality in Two Variables

5 Chapter 3: Functions and Function Notation 1. Determine Whether a Relation Represents a Function 2. Find the Domain and Range of a Relation 3. Apply the Vertical Line Test 4. Construct Graphs of Relations Section 2 1. Use Function Notation 2. Apply the Concepts Use a given formula to calculate the basal metabolic rate (BMR) for a person, the height of men and women based on the femur length, specific cost, value

6 Chapter 5: Exponents and Polynomials 1. Evaluating Exponential Expressions and Expanded Form 2. Simplify Expressions using Product Rule for Exponents =a m+n 3. Simplify Expressions using Power-to-a-Power Rule for Exponent = a mn 4. Simplify Expressions using Product-to-a-Power Rule for Exponents =a m b m 5. Write Numbers Scientific Notation Section 2 1. Simplify Expressions using Quotient Rule for Exponents = a m-n 2. Simplify Expressions using Negative Rule for Exponents = 3. Simplify Expressions using Integer Exponents Rule 1 4. Simplify Expression using Quotient-to-a-Power Rule for Exponents = 5. Write Numbers Scientific Notation Section 3 1. Multiply Monomials by Monomials 2. Divide Monomials by Monomials 3. Multiplication and Division of Numbers Written in Scientific Notation Section 4 1. Adding and Subtracting Polynomials Section 5 1. Multiply Polynomials Section Multiply Binomials a b a b a b, a b a 2ab b, a b a 2ab b Section 7 1. Divide Polynomials by a Monomial

7 Section 8 1. Divide Polynomials by Polynomials (Binomial)

8 Chapter 8: Rational Expressions and Rational Functions 1. Evaluate a Rational Function 2. Find the Domain of a Rational Function 3. Construct Graphs of a Rational Function 4. Apply the Concepts Evaluate a formula given specific values for the variables Section 3 1. Apply the Concepts Evaluate a formula given specific values for the variables Section 7 1. Apply the Concepts Use a given formula to calculate average cost

9 Chapter 9: Rational Exponents and Roots 1. Find Square Roots 2. Find Higher Order Roots 3. Simplify Expressions with Rational Exponents (with numerator or 1 and -1) 4. Applying the Concepts: Use a given formula to calculate animal heart rate, or interest Section 2 1. Construct Graph of Basic Radical Function 2. Find the Domain of Basic Radical Function 3. Apply the Concepts: Use a given formula to calculate diagonal distance, distance to the horizon or radius of a sphere

10 Chapter 10: Exponential and Logarithmic Functions 1. Evaluate Exponential Function 2. Construct a Graph of the Exponential Function 3. Evaluate Natural Exponential (Base e) and Logarithms Functions 4. Applying the Concepts: Compound Interest A( t) P 1 r n Continuously Compounded Interest A() t nt Pe Additional formulas of the same type such as using a given formula to calculate the current value of a car, bacterial growth or bacteria decay Section 5 1. Evaluate Common Logarithmic Functions Using the Calculator 2. Applying the Concepts: The ph of a substance is defined by the function: ph = -log[h] + where [H] + is the hydrogen ion concentration in moles per liter rt