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- Dimensional Analysis Part 1An introduction to dimensional analysis (also known as unit conversions).
- Dimensional Analysis Part 2Multi-step conversion problems
- Dimensional Analysis Part 3Conversions for units such as km/hr to mi/sec or g/ in3 to kg/ft3
- Dimensional Analysis Part 4Density problems using dimensional analysis
- Forms of a Line ExplainedWorked examples for finding the equation of a line in slope-intercept form, point-slope form, or standard form.

- Order of Operations (TMAT-100)This document goes over what order to perform mathematical operations in.

- DesmosAn online graphing calculator useful for showing how equations are connected to a visual graph.

- Review Chapter
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11

- R.2 Review of Solving Linear Equations (part 1) (MAT-098)Bay College1. Verify solutions to equations.

2. Solve linear equations using the addition principle.

3. Solve linear equations using the multiplication principle.

4. Solve equations using both the addition and multiplication principles. - R.2 Review of Solving Linear Equations (part 2) (MAT-098)Bay College1. Verify solutions to equations.

2. Solve linear equations using the addition principle.

3. Solve linear equations using the multiplication principle.

4. Solve equations using both the addition and multiplication principles. - R.2 Review of Solving Linear Equations (part 3) (MAT-098)Bay College1. Verify solutions to equations.

2. Solve linear equations using the addition principle.

3. Solve linear equations using the multiplication principle.

4. Solve equations using both the addition and multiplication principles. - R.3 Review of Graphing Linear Equations (Part 1) (MAT-098)Bay College1. Plot points in the coordinate plane.

2. Find solutions for equations in two unknowns.

3. Graph linear equations by plotting solutions.

4. Graph linear equations using intercepts.

5. Graph vertical and horizontal lines. - R.3 Review of Graphing Linear Equations (Part 2) (MAT-098)Bay College1. Plot points in the coordinate plane.

2. Find solutions for equations in two unknowns.

3. Graph linear equations by plotting solutions.

4. Graph linear equations using intercepts.

5. Graph vertical and horizontal lines. - R.3 Review of Graphing Linear Equations (Part 3) (MAT-098)Bay College1. Plot points in the coordinate plane.

2. Find solutions for equations in two unknowns.

3. Graph linear equations by plotting solutions.

4. Graph linear equations using intercepts.

5. Graph vertical and horizontal lines. - R.3 Review of Graphing Linear Equations (Part 4) (MAT-098)Bay College

2. Find solutions for equations in two unknowns.

3. Graph linear equations by plotting solutions.

4. Graph linear equations using intercepts.

5. Graph vertical and horizontal lines. - R.3 Review of Graphing Linear Equations (Part 5) (MAT-098)Bay College

2. Find solutions for equations in two unknowns.

3. Graph linear equations by plotting solutions.

4. Graph linear equations using intercepts.

5. Graph vertical and horizontal lines.

- 2.8 Solving Linear Inequalities (Part 1) (MAT-098)Bay College1. Represent solutions to inequalities graphically and using set notation.

2. Solve linear inequalities.

3. Solve problems involving linear inequalities. - 2.8 Solving Linear Inequalities (Part 2) (MAT-098)Bay College1. Represent solutions to inequalities graphically and using set notation.

2. Solve linear inequalities.

3. Solve problems involving linear inequalities.

- 3.7 Introduction to Functions and Function Notation (Part 1) (MAT-098)Bay College1. Identify the domain and range of a relation.

2. Identify functions and their domains and ranges.

3. Find the value of a function.

4. Graph linear functions. - 3.7 Introduction to Functions and Function Notation (Part 1) (MAT-098)Bay College1. Identify the domain and range of a relation.

2. Identify functions and their domains and ranges.

3. Find the value of a function.

4. Graph linear functions.

- 4.1 Solving Systems of Linear Equations Graphically (MAT-098)Bay College1. Determine whether an ordered pair is a solution for a system of equations.

2. Solve a system of linear equations graphically.

3. Classify systems of linear equations in two unknowns. - 4.2 Solving Systems of Linear Equations by Substitution; Applications (MAT-098)Bay College1. Solve systems of linear equations using substitution.

2. Solve applications involving two unknowns using a system of equations. - 4.3 Solving Systems of Linear Equations by Elimination; Applications (part 1) (MAT-098)Bay College1. Solve systems of linear equations using elimination.

2. Solve applications using elimination. - 4.3 Solving Systems of Linear Equations by Elimination; Applications (part 2) (MAT-098)Bay College1. Solve systems of linear equations using elimination.

2. Solve applications using elimination. - 4.3 Solving Systems of Linear Equations by Elimination; Applications (part 3) (MAT-098)Bay College1. Solve systems of linear equations using elimination.

2. Solve applications using elimination. - 4.4 Solving Systems of Linear Equations in Three Variables; Applications (MAT-098)Bay College1. Determine whether an ordered triple is a solution for a system of equations.

2. Understand the types of solution sets for systems of three equations.

3. Solve a system of three linear equations using the elimination method.

4. Solve application problems that translate to a system of three linear equations.

- 5.1 Exponents and Scientific Notation (MAT-098)Bay College1. Evaluate exponential forms with integer exponents.

2. Write scientific notation in standard form.

3. Write standard form numbers in scientific notation. - 5.4 Exponent Rules and Multiplying Monomials (MAT-098)Bay College1. Multiply monomials.

2. Multiply numbers in scientific notation.

3. Simplify a monomial raised to a power. - 5.5 Multiplying Polynomials; Special Products (Part 2) (MAT-098)Bay College1. Multiply a polynomial by a monomial.

2. Multiply binomials.

3. Multiply polynomials.

4. Determine the product when given special polynomial factors. - 5.5 Multiplying Polynomials; Special Products (Part 2) (MAT-098)Bay College1. Multiply a polynomial by a monomial.

2. Multiply binomials.

3. Multiply polynomials.

4. Determine the product when given special polynomial factors. - 5.6 Exponent Rules and Dividing Polynomials (MAT-098)Bay College1. Divide exponential forms with the same base.

2. Divide numbers in scientific notation.

3. Divide monomials.

4. Divide a polynomial by a monomial.

5. Use long division to divide polynomials.

6. Simplify expressions using rules of exponents.

- 6.1 Greatest Common Factor and Factoring by Grouping (MAT-098)Bay College1. List all possible factors for a given number.

2. Find the greatest common factor of a set of numbers or monomials.

3. Write a polynomial as a product of a monomial GCF and a polynomial.

4. Factor by grouping. - 6.2 Factoring Trinomials of the Form x 2 + bx + c (MAT-098)Bay College1. Factor trinomials of the form x2+bx+c.x squared , plus b x plus c .

2. Factor out a monomial GCF; then factor the trinomial of the form x2+bx+c. - 6.3 Factoring Trinomials of the Form ax 2 + bx + c, where a ≠ 1 (MAT-098)Bay College1. Factor trinomials of the form ax2+bx+c, eh , x squared , plus b x plus c comma where a≠1, eh not equal to 1 comma by trial.

2. Factor trinomials of the form ax2+bx+c, eh , x squared , plus b x plus c comma where a≠1, eh not equal to 1 comma by grouping. - 6.4 Factoring Special Products (MAT-098)Bay College1. Factor perfect square trinomials.

2. Factor a difference of squares.

3. Factor a difference of cubes.

4. Factor a sum of cubes. - 6.6 Solving Quadratic Equations by Factoring (Part 1) (MAT-098)Bay College1. Use the zero-factor theorem to solve equations containing expressions in factored form.

2. Solve quadratic equations by factoring.

3. Solve problems involving quadratic equations.

4. Use the Pythagorean theorem to solve problems. - 6.6 Solving Quadratic Equations by Factoring (Part 1) (MAT-098)Bay College1. Use the zero-factor theorem to solve equations containing expressions in factored form.

2. Solve quadratic equations by factoring.

3. Solve problems involving quadratic equations.

4. Use the Pythagorean theorem to solve problems.

- 7.1 Simplifying Rational Expressions (MAT-098)Bay College1. Evaluate rational expressions.

2. Find numbers that cause a rational expression to be undefined.

3. Simplify rational expressions containing only monomials.

4. Simplify rational expressions containing multiterm polynomials. - 7.2 Multiplying and Dividing Rational Expressions (MAT-098)Bay College1. Multiply rational expressions.

2. Divide rational expressions.

3. Convert units of measurement using dimensional analysis. - 7.3 Adding and Subtracting Rational Expressions with the Same Denominator (MAT-098)Bay College1. Add or subtract rational expressions with the same denominator.
- 7.4 Adding and Subtracting Rational Expressions with Different Denominators (MAT-098)Bay College1. Find the LCD of two or more rational expressions.

2. Given two rational expressions, write equivalent rational expressions with their LCD.

3. Add or subtract rational expressions with different denominators. - 7.6 Solving Equations Containing Rational Expressions (Part 1) (MAT-098)Bay College1. Solve equations containing rational expressions.
- 7.6 Solving Equations Containing Rational Expressions (Part 2) (MAT-098)Bay College1. Solve equations containing rational expressions.

- 8.2 Equations Involving Absolute Value; Absolute Value Functions (MAT-098)Bay College1. Solve equations involving absolute value.

2. Graph absolute value functions.

- 9.1 Radical Expressions and Functions (MAT-098)Bay College1. Find the nth root of a number.

2. Approximate roots using a calculator.

3. Simplify radical expressions.

4. Evaluate radical functions.

5. Find the domain of radical functions.

6. Solve applications involving radical functions. - 9.2 Rational Exponents (MAT-098)Bay College1. Evaluate rational exponents.

2. Write radicals as expressions raised to rational exponents.

3. Simplify expressions with rational number exponents using the rules of exponents.

4. Use rational exponents to simplify radical expressions. - 9.3 Multiplying, Dividing, and Simplifying Radicals (MAT-098)Bay College1. Multiply radical expressions.

2. Divide radical expressions.

3. Use the product rule to simplify radical expressions. - 9.4 Adding, Subtracting, and Multiplying Radical Expressions (MAT-098)Bay College1. Add or subtract like radicals.

2. Use the distributive property in expressions containing radicals.

3. Simplify radical expressions that contain mixed operations. - 9.5 Rationalizing Numerators and Denominators of Radical Expressions (MAT-098)Bay College1. Rationalize denominators.

2. Rationalize denominators that have a sum or difference with a square root term.

3. Rationalize numerators. - 9.6 Radical Equations and Problem Solving (MAT-098)Bay College1. Use the power rule to solve radical equations.
- 9.7 Complex Numbers (Part 1) (MAT-098)Bay College1. Write imaginary numbers using i.

2. Perform arithmetic operations with complex numbers.

3. Raise i to powers. - 9.7 Complex Numbers (Part 2) (MAT-098)Bay College1. Write imaginary numbers using i.

2. Perform arithmetic operations with complex numbers.

3. Raise i to powers.

- 10.1 The Square Root Principle and Completing the Square (MAT-098)Bay College1. Use the square root principle to solve quadratic equations.

2. Solve quadratic equations by completing the square. - 10.2 Solving Quadratic Equations Using the Quadratic Formula (Part 1) (MAT-098)Bay College1. Solve quadratic equations using the quadratic formula.

2. Use the discriminant to determine the number of real solutions that a quadratic equation has.

3. Find the x- and y-intercepts of a quadratic function.

4. Solve applications using the quadratic formula. - 10.2 Solving Quadratic Equations Using the Quadratic Formula (Part 2) (MAT-098)Bay College1. Solve quadratic equations using the quadratic formula.

2. Use the discriminant to determine the number of real solutions that a quadratic equation has.

3. Find the x- and y-intercepts of a quadratic function.

4.Solve applications using the quadratic formula. - 10.2 Solving Quadratic Equations Using the Quadratic Formula (Part 3) (MAT-098)Bay College1. Solve quadratic equations using the quadratic formula.

2. Use the discriminant to determine the number of real solutions that a quadratic equation has.

3. Find the x- and y-intercepts of a quadratic function.

4. Solve applications using the quadratic formula. - 10.2 Solving Quadratic Equations Using the Quadratic Formula (Part 4) (MAT-098)Bay College1. Solve quadratic equations using the quadratic formula.

2. Use the discriminant to determine the number of real solutions that a quadratic equation has.

3. Find the x- and y-intercepts of a quadratic function.

4. Solve applications using the quadratic formula. - 10.6 Function Operations (MAT-098)Bay College1. Add or subtract functions.

2. Multiply functions.

3. Divide function

- 11.2 Exponential Functions (MAT-098)Bay College1. Define and graph exponential functions.

2. Solve equations of the form bx=by b to the x , equals , b to the y for x.

3. Use exponential functions to solve application problems. - 11.3 Logarithmic Functions (Part 1) (MAT-098)Bay College1. Convert between exponential and logarithmic forms.

2. Solve logarithmic equations by changing to exponential form.

3. Graph logarithmic functions.

4. Solve applications involving logarithms. - 11.3 Logarithmic Functions (Part 2) (MAT-098)Bay College1. Convert between exponential and logarithmic forms.

2. Solve logarithmic equations by changing to exponential form.

3. Graph logarithmic functions.

4. Solve applications involving logarithms. - 11.3 Logarithmic Functions (Part 3) (MAT-098)Bay College1. Convert between exponential and logarithmic forms.

2. Solve logarithmic equations by changing to exponential form.

3. Graph logarithmic functions.

4. Solve applications involving logarithms. - 11.3 Logarithmic Functions (Part 4) (MAT-098)Bay College

2. Solve logarithmic equations by changing to exponential form.

3. Graph logarithmic functions.

4. Solve applications involving logarithms. - 11.3 Logarithmic Functions (Part 5) (MAT-098)Bay College

2. Solve logarithmic equations by changing to exponential form.

3. Graph logarithmic functions.

4. Solve applications involving logarithms.

- 1.1 Linear Equations and Rational Equations (MAT-150)Bay College1. Use vocabulary related to solving equations and identify types of equations

2. Solve linear equations

3. Solve rational equations

4. Solve formulas for a specific variable - 1.2a Applications of Linear Equations (Part 1) (MAT- 150)Bay College1. Solve number problems;

2. Solve geometric problems;

3. Solve investment and percent problems;

5. Solve shared-work problems;

6. Solve mixture problems;

7. Solve uniform motion problems - 1.2b Applications of Linear Equations (Part 2) (MAT-150)Bay College1. Solve number problems

2. Solve geometric problems

4. Solve investment and percent problems

5. Solve shared-work problems

6. Solve mixture problems

7. Solve uniform motion problems - 1.3 Complex Numbers (MAT-150)Bay College1. Simplify imaginary numbers;

2. Perform operations on complex numbers

3. Find powers of i

4. Determine the absolute value of a complex number

5. Factor the sum of two squares - 1.4 Quadratic Equations (MAT-150)Bay College1. Solve quadratic equations using factoring and the Square Root Property

2. Solve quadratic equations using completing the square

3. Solve quadratic equations using the Quadratic Formula

4. Determine the easiest strategy to use to solve a quadratic equation

5. Solve formulas for a variable that is squared

6. Define and use the discriminant

7. Write rational equations in quadratic form and solve the equations - 1.6 Other Types of Equations (MAT-150)Bay College1. Solve polynomial equations by factoring

2. Solve other equations by factoring

3. Solve equations in quadratic form

4. Solve radical equations

5. Solve applications of radical equations - 1.7a Inequalities (part 1) (MAT-150)Bay College1. Use the properties of inequalities

2. Solve linear inequalities and applications

3. Solve compound inequalities

4. Solve quadratic inequalities

5. Solve rational inequalities - 1.7b Inequalities (part 2) (MAT-150)Bay College1. Use the properties of inequalities

2. Solve linear inequalities and applications

3. Solve compound inequalities

4. Solve quadratic inequalities

5. Solve rational inequalities" - 1.7c Inequalities (part 3) (MAT-150)Bay College1. Use the properties of inequalities

2. Solve linear inequalities and applications

3. Solve compound inequalities

4. Solve quadratic inequalities

5. Solve rational inequalities - 1.8 Absolute Value (MAT-150)Bay College1. Define and use absolute value

2. Solve equations of the form |x|=k

3. Solve equations with two absolute values

4. Solve inequalities of the forms |x|5. Solve inequalities of the forms |x|>k and |x|≥k

6. Solve compound inequalities with absolute value

7. Solve inequalities with two absolute values

- 2.1 Functions and Function Notation (MAT-150)Bay College1. Define relation, domain, and range

2. Understand the concept of a function

3. Determine whether an equation represents a function

4. Find the domain of a function

5. Evaluate a function

6. Evaluate the difference quotient for a function

7. Solve applications involving functions - 2.2a The Rectangular Coordinate System and Graphing Lines (part 1) (MAT-150)Bay College1. Plot points in the rectangular coordinate system

2. Graph linear equations

3. Graph vertical and horizontal lines

4. Solve applications using linear functions

5. Find the distance between two points

6. Find the midpoint of a line segment - 2.2b The Rectangular Coordinate System and Graphing Lines (part 2) (MAT-150)Bay College1. Plot points in the rectangular coordinate system

2. Graph linear equations

3. Graph vertical and horizontal lines

4. Solve applications using linear functions

5. Find the distance between two points

6. Find the midpoint of a line segment - 2.3 Linear Functions and Slope (MAT-150)Bossier Parish Community College1. Find the slope of a line

2. Interpret slope as a rate of change

3. Find slopes of horizontal and vertical lines

4. Find slopes of parallel and perpendicular lines - 2.4 Writing and Graphing Equations of Lines (MAT-150)Bossier Parish Community College1. Use slope-intercept form to write an equation of a line

2. Graph linear equations using the slope and y-intercept

3. Determine whether linear equations represent lines that are parallel, perpendicular, or neither

4. Use point-slope form to write an equation of a line

5. Write equations of parallel and perpendicular lines

6. Write an equation of a line that models a real-life problem

7. Use linear curve fitting to solve problems

- 3.1 Graphs of Functions (MAT-150)Bay College1. Graph a function by plotting points

2. Use the Vertical Line Test to identify functions

3. Determine function values graphically

4. Determine the domain and range of a function from its graph

5. Recognize the graphs of common functions - 3.2 Transformations of the Graphs of Functions (MAT-150)Bay College1. Use vertical translations to graph functions

2. Use horizontal translations to graph functions

3. Graph functions using two translations

4. Use reflections about the x- and y-axes to graph functions

5. Use vertical stretching and shrinking to graph functions

6. Use horizontal stretching and shrinking to graph functions

7. Graph functions using a combination of transformations - 3.3a More on Functions; Piecewise-defined Functions (Part 1) (MAT-150)Bay College1. Determine whether a function is even, odd, or neither

2. Identify the open intervals on which a function is increasing, decreasing, or constant

3. Identify local maxima and local minima on the graph of a function

4. Evaluate and graph piecewise-defined functions

5. Evaluate and graph the greatest integer function - 3.3b More on Functions; Piecewise-defined Functions (Part 2) (MAT-150)Bay College1. Determine whether a function is even, odd, or neither

2. Identify the open intervals on which a function is increasing, decreasing, or constant

3. Identify local maxima and local minima on the graph of a function

4. Evaluate and graph piecewise-defined functions

5. Evaluate and graph the greatest integer function - 3.4 Operations on Functions (MAT-150)Bay College1. Add, subtract, multiply, and divide functions, specifying domains

2. Write functions as sums, differences, products, or quotients of other functions

3. Evaluate composite functions

4. Determine domains for composite functions

5. Write functions as compositions

6. Use operations on functions to solve problems - 3.5 Inverse Functions (MAT-150)Bay College1. Understand the definition of a one-to-one function

2. Determine whether a function is one-to-one

3. Verify inverse functions

4. Find the inverse of a one-to-one function

5. Understand the relationship between the graphs of f and f^{-1}

- 4.1 Quadratic Functions (MAT-150)Bay College1. Recognize the characteristics of a quadratic functions

2. Find the vertex of a parabola whose equation is in standard form

3. Graph a quadratic function

4. Find the vertex of a parabola whose equation is in general form

5. Use a quadratic function to solve maximum and minimum problems - 4.2 Polynomial Functions (MAT-150)Bay College1. Recognize polynomial functions

2. understand characteristics of the graphs of polynomial functions

3. Find zeros of polynomial functions by factoring

4. Determine end behavior

5. Graph polynomial functions

6. Use the Intermediate Value Theorem - 4.3 The Remainder and Factor Theorems; Synthetic Division (MAT-150)Bay College1. Understand the definition of a zero polynomial function

2. Use the Remainder Theorem

3. Use the Factor Theorem

4. Use synthetic division to divide polynomials

5. Use synthetic division to evaluate polynomial functions

6. Use synthetic division to solve polynomial equations - 4.4 Fundamental Theorem of Algebra and Descartes' Rule of Signs (MAT-150)Bay College1. Understand the Fundamental Theorem of Algebra

2. Use the Conjugate Pairs Theorem

3. Use Descartes' Rule of Signs

4. Find integer bounds on roots - 4.5 Zeros of Polynomial Functions (MAT-150)Bay College1. Find possible rational zeros of polynomial functions

2. Find rational zeros of polynomial functions

3. Find real and nonreal zeros of polynomial functions

4. Solve applications - 4.6a Rational Functions (part 1) (MAT-150)Bay College1. Find the domain of a rational functions

2. Understand the characteristics of rational functions and their graphs

3. Find vertical asymptotes of rational functions

4. Find horizontal asymptotes of rational functions

5. Identify slant asymptotes of rational functions

6. Graph rational functions

7. Understand when a graph has a missing point

8. Solve problems modeled by rational functions - 4.6b Rational Functions (part 2) (MAT-150)Bay College1. Find the domain of a rational functions

2. Understand the characteristics of rational functions and their graphs

3. Find vertical asymptotes of rational functions

4. Find horizontal asymptotes of rational functions

5. Identify slant asymptotes of rational functions

6. Graph rational functions

7. Understand when a graph has a missing point

8. Solve problems modeled by rational functions

- 5.1 Exponential Functions and Their Graphs (MAT-150)Bay College1. Approximate and simplify exponential expressions

2. Graph exponential functions

3. Solve compound interest problems

4. Define e and graph base-e exponential functions

5. Use transformations to graph exponential functions - 5.2a Applications of Exponential Functions (Part 1) (MAT-150)Missouri State University1. Solve radioactive decay problems

2. Solve oceanography problems

3. Solve Malthusian population growth problems

4. Solve epidemiology problems - 5.2b Applications of Exponential Functions (Part 2) (MAT-150)Missouri State University1. Solve radioactive decay problems

2. Solve oceanography problems

3. Solve Malthusian population growth problems

4. Solve epidemiology problems - 5.3 Logarithmic Functions and Their Graphs (MAT-150)Bay College1. Evaluate logarithms

2. Evaluate common logarithms

3. Evaluate natural logarithms

4. Graph logarithmic functions

5. Use transformations to graph logarithmic functions - 5.5 Properties of Logarithms (MAT-150)Bay College1. Use properties of logarithms to simplify expressions

2. Use the Change-of-Base Formula

3. Use logarithms to solve pH problems

4. Use logarithms to solve problems in electronics

5. Use logarithms to solve physiology problems - 5.6 Exponential and Logarithmic Equations (MAT-150)Bay College1. Use like bases to solve exponential equations

2. Use logarithms to solve exponential equations

3. Solve logarithmic equations

4. Solve carbon-14 dating problems

5. Solve population growth problems

- 6.1 Systems of Linear Equations (MAT-150)Bay College1. Solve systems using the graphing method

2. Solve systems using the substitution method

3. Solve systems using the elimination method

4. Solve systems with infinitely many solutions

5. Solve inconsistent systems

6. Solve systems involving three equations in three variables

7. Solve applications involving systems of equations - 6.7 Graphs of Inequalities (MAT-150)Bay College1. Graph inequalities

2. Graph systems of inequalities

- 7.1a The Circle and the Parabola (Part 1) (MAT-150)Bossier Parish Community College1. Write an equation of a circle

2. Graph circles

3. Write an equation of a parabola in standard form

4. Graph parabolas

5. Solve applied problems involving parabolas - 7.1b The Circle and the Parabola (Part 2) (MAT-150)Bay College1. Write an equation of a circle

2. Graph circles

3. Write an equation of a parabola in standard form

4. Graph parabolas

5. Solve applied problems involving parabolas - 7.2 The Ellipse (MAT-150)Bossier Parish Community College1. Understand the definition of an ellipse

2. Write an equation of an ellipse

3. Graph ellipses

4. Solve applied problems using ellipses - 7.3 The Hyperbola (MAT-150)Bossier Parish Community College1. Write equations of hyperbolas

2. Graph hyperbolas - 7.4 Solving Nonlinear Systems of Equations (MAT-150)Bay College1. Solve systems by graphing

2. Solve systems by substitution

3. Solve systems by elimination

4. Solve problems using systems of nonlinear equations

- 8.1 The Binomial Theorem (MAT-150)Missouri State University1. Use Pascal's Triangle to expand a binomial

2. Define and use factorial notation

3. Use the Binomial Theorem to expand binomials

4. Find a specific term of a binomial expansion - 8.2 Sequences, Series, and Summation Notation (MAT-150)Missouri State University1. Define and use sequences

2. Find terms of a sequence given the general term

3. Define series

4. Define and use summation notation - 8.3 Arithmetic Sequences and Series (MAT-150)Missouri State University1. Define and use arithmetic sequences

2. Find arithmetic means

3. Find the sum of the first n terms of an arithmetic sequence

4. Solve problems involving sequences and series - 8.4 Geometric Sequences and Series (MAT-150)Missouri State University1. Define and use gemeometric sequences

2. Find geometric means

3. Find the sum of the first n terms of a geometric series

4. Define and find the sum of infinite geometric series

5. Solve problems involving geometric sequences and series

- 1.5 The Limit of a Function (MAT-229)Bay College
- 1.8 Continuity (MAT-229)Bay College

- 2.2 The Derivative as a Function (MAT-229)Bay College
- 2.5 The Chain Rule (MAT-229)Bay College
- 2.6 Implicit Differentiation (MAT-229)Bay College
- 2.8 Related Rates (MAT-229)Bay College

- 3.1 Maximum and Minimum Values (MAT-229)Bay College
- 3.2 The Mean Value Theorem (MAT-229)Bay College
- 3.5 Summary of Curve Sketching (MAT-229)Bay College
- 3.7 Optimization Problems (MAT-229)Bay College
- 3.9 Antiderivatives (MAT-229)Bay College

- 5.1 Areas Between Curves (MAT-229)Bay College
- 5.2 Volumes (MAT-229)Bay College
- 5.3 Volumes by Cylindrical Shells (MAT-229)Bay College

- 6.1 Inverse Functions (MAT-230)Bay College
- 6.5 Exponential Growth and Decay (MAT-230)New York University

- 7.1 Integration by Parts (MAT-230)Bay College
- 7.2 Trigonometric Integrals (MAT-230)Bay College
- 7.3 Trigonometric Substitution (MAT-230)Bay College
- 7.5 Strategy for Integration (MAT-230)Long Beach City College
- 7.6 Integration Using Tables and Computer Algebra Systems (MAT-230)New England Institute of Technology
- 7.8 Improper Integrals (MAT-230)Bay College

- 8.1 Arc Length (MAT-230)Bay College
- 8.2 Area of a Surface of Revolution (MAT-230)Long Beach City College

- 9.1 Modeling with Differential Equations (MAT-230)Long Beach City College
- 9.3 Separable Equations (MAT-230)Bay College

- 10.3 Polar Coordinates (MAT-230)Bay College
- 10.5 Conic Sections (MAT-230)Long Beach City College

- 11.1 Sequences (MAT-230)Bay College
- 11.2 Series (MAT-230)Bay College
- 11.4 The Comparison Tests (MAT-230)Bay College
- 11.5 Alternating Series (MAT-230)Bay College
- 11.7 Strategy for Testing Series (MAT-230)Long Beach City College
- 11.8 Power Series (MAT-230)Bay College

- Triola Statistics TutorialsThis link has videos on how to perform statistical operations using: Statdisk, Statcrunch, the TI-83/TI-84 calculator, and Excel. Scroll through videos or use the search bar next to the “Community” tab to find what materials you’re looking for.
- Khan Academy Statistics Concepts & PracticeThis link has videos and exercises/quizzes to help test your knowledge about statistics.

1. There are a fixed number of trials (\(n=12\)).

2. The trials are independent. (Whether one customer orders a beverage doesn't affect the probability of whether another customer orders a beverage.)

3. Each trial results in a success (ordering a beverage) or a failure (not ordering a beverage).

4. The probability of success in each trial is fixed (\(p=.41\), the decimal form of 41%).

We will use the "binomcdf" command in the TI-84 Plus calculator to compute the probability of

To navigate, we use [2ND] [VARS/DISTR] [binomcdf]:

Next we enter \(n=12\) (trials), \(p=.41\), and \(x=6\) (since we are computing the probability of "at most 6 sucesses"):

Then we [Paste] the command into the new window and press [ENTER], which gives us a result of .8235436756 (the probability of "at most 6 successes"). To convert to the probability of "at least 7 successes", we subtract that result from 1 (this is called the

Note that rounding to four decimal places is typical. Hence, the probability of at least 7 of the first 12 customers ordering a beverage is:

Notice that the lower bound is \(-\infty\) and that the upper bound is \(60\). In the TI-84 Plus, we can navigate to the \(\verb|DISTR|\) menu and use the command \(\verb|normalcdf|\).

Since the calculator can't handle negative infinity, for the lower bound we use the largest negative number it

The mean \((\mu=65.6)\) and standard deviation \((\sigma=3.7)\) are given in the problem statement. When we enter the values into the calculator, it looks like this:

Now we can compute the probability:

Rounding to four decimal places, our final answer is:

However, in order to use the TI-84 Plus, we need to determine the corresponding left-tailed area, which is

When given an area and asked for a cutoff value, we must use the "inverse" normal function. In the TI-84 Plus, this is found by going to [2ND] [VARS/DISTR] [invNorm]:

Next, we enter \(.925\) for the area, and also \(\mu=3510\) and \(\sigma=385\). (These are the mean and standard deviation given in the problem statement.)

Now we can [Paste] this into the main window and press [Enter] to find the cutoff value:

Rounding to the nearest integer, we find that the top 7.5% of all birth weights among these infants are:

where \(\mu=12\) and \(\sigma=3.6\) are the population mean and standard deviation, and \(n=40\) is the sample size. Hence,

Since the sample size is at least 30, that means the sampling distribution is approximately normal. Hence we are looking for the following area:

Note that the lower bound of the area is \(12.5\), and the upper bound is \(\infty\). To find this area, we use the "normalcdf" command in the TI-84 Plus calculator, which we find by navigating to [2ND] [VARS/DISTR] [normalcdf]:

The lower bound is, as mentioned above, \(12.5\). For the upper bound since the TI-84 Plus cannot handle \(\infty\) directly, we use an approximation of \(\verb|10^99|\), which is one of the largest numbers that the calculator can handle. We also use \(\mu_{\bar{x}}=12\) and \(\sigma_{\bar{x}}=3.6/\sqrt{40}\), as discussed above.

Having entered these values, we [Paste] the command into the main window and press [ENTER] to obtain our area:

It is typical to round this result to four decimal places. Hence, the probability that a random sample of 40 deer has a mean lifespan of at least 12.5 years is:

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