MATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline 1. Real Numbers (33 topics) 1.3 Fractions (pg. 27: 1-75 odd) A. Simplify fractions. B. Change mixed numbers to fractions and vice versa. C. Multiply fractions. D. Divide fractions. E. Add and subtract fractions. 1.4 The Real Number System (pg. 34: 1-10 all, 17-51 odd) A. Identify sets of numbers. B. Classify numbers. 1.5 Inequalities (pg. 39: 11-77 odd) A. Find the absolute value of a number. B. Determine which is the greater of two numbers. 1.6 Addition of Real Numbers (pg. 48: 13-113 odd, 125-139 all) A. Add real numbers. B. Add fractions. C. Identify opposites. D. Add using absolute values. E. Solve application problems. 1.7 Subtraction of Real Numbers (pg. 57: 13-129 odd) A. Subtract numbers. B. Evaluate expressions containing more than two numbers. C. Solve application problems. 1.8 Multiplication and Division of Real Numbers (pg. 65: 11-127 odd) A. Multiply numbers. B. Divide numbers. C. Remove negative signs from denominators. D. Evaluate divisions involving zero. E. Solve application problems. 1.9 Exponents, Parentheses, and the Order of Operations (pg. 73: 7-121 odd) A. Evaluate expressions containing exponents. B. Lean the difference between and ( ). C. Learn the order of operations. D. Learn the use of parentheses. E. Evaluate expressions containing variables. 1.10 Properties of the Real Number System (pg. 80: 1-57 odd) A. Learn the commutative property. B. Learn the associative property. Page 1 of 5
C. Learn the distributive property. D. Learn the identity properties. E. Learn the inverse properties. 2. Solving Linear Equations and Inequalities (26 topics) 2.1 Combining Like Terms (pg. 99: 9-121 odd) A. Combine like terms. B. Use the distributive property. C. Simplify an expression. D. List the positive factors of an integer. 2.2 The Addition Property of Equality (pg. 106: 11-65 odd, 77, 79) A. Check solutions to equations. B. Use the addition property to solve equations. 2.3 The Multiplication Property of Equality (pg. 113: 9-59 odd, 73, 75) A. Use the multiplication property of equality to solve equations with whole numbers. B. Use the multiplication property of equality to solve equations with fractions. 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation (pg. 120: 7-95 odd, 99, 101) A. Solve linear equations containing only whole numbers. B. Solve linear equations containing decimal numbers. C. Solve linear equations containing fractions. 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation (pg. 130: 11-77 odd) A. Solve equations. B. Identify contradictions. C. Identify identities. 2.6 Formulas (pg. 140: 11-25 odd, 37-81 odd) A. Use a formula to find the value of a variable. B. Use geometric formulas to find area or volume. C. Solve for a variable in a formula. D. Use formulas to solve applications. 2.7 Ratios and Proportions (pg. 153: 49-73 odd) A. Write a ratio in lowest terms. B. Write a ratio as some quantity to 1. C. Solve proportions using cross-multiplication. D. Use proportions to solve application problems. E. Use proportions to change units. 2.8 Inequalities in One Variable (pg. 160: 9-57 odd) A. Solve linear inequalities (and graph their solutions). B. Identify contradictions (and graph their solutions). C. Identify identities (and graph their solutions). Page 2 of 5
3. Applications of Algebra (13 topics) 3.1 Changing Application Problems into Equations (pg. 181: 11-97 odd) A. Translate phrases into mathematical expressions. B. Express the relationship between two related quantities. C. Write expressions involving percents. D. Write expressions involving rates. E. Translate applications into equations. 3.2 Solving Application Problems (pg. 192: 7-45 odd) A. Set up and solve number application problems. B. Set up and solve rate problems. C. Set up and solve percent problems. 3.3 Geometric Problems (pg. 200: 11-37 odd) A. Solve perimeter problems. B. Solve angle problems. C. Solve visual problems. 3.4 Motion, Money, and Mixture Problems (pg. 211: 7-51, 55, 63, 65) A. Solve motion problems involving two rates. B. Solve money problems. C. Solve mixture problems. 4. Exponents and Polynomials (20 topics) 4.1 Exponents (pg. 230: 1-139 odd) A. Use the product rule. B. Use the quotient rule. C. Use the zero exponent rule. D. Use the power and power of a product rules. E. Use the power of a quotient rule. F. Simplify an expression before using the expanded power rule. G. Simplify an exponential expression by dividing out common factors. H. Evaluate and write expressions involving exponents. 4.2 Negative Exponents (pg. 239: 11-129 odd) A. Understand the negative exponent rule. B. Simplify expressions containing negative exponents. 4.3 Scientific Notation (pg. 247: 9-43 odd) A. Convert numbers to and from scientific notation. 4.4 Addition and Subtraction of Polynomials (pg. 255: 11-119 odd) A. Identify polynomials. B. Find the degree of a polynomial. C. Add polynomials. D. Subtract polynomials. 4.5 Multiplication of Polynomials (pg. 265: 9-109 odd) Page 3 of 5
A. Multiply a monomial by a monomial. B. Multiply a polynomial by a monomial. C. Multiply binomials using the FOIL method. D. Multiply any two polynomials. 4.6 Division of Polynomials (pg. 273: 17-41 odd) A. Divide a polynomial by a monomial. 5. Factoring (15 topics) 5.1 Factoring a Monomial from a Polynomial (pg. 288: 21-99 odd) A. Identify factors. B. Determine the greatest common factor of two or more numbers. C. Determine the greatest common factor of two or more terms. D. Factor a monomial from a polynomial. E. Factor a negative from a polynomial. F. Factor a binomial from a polynomial. 5.2 Factoring by Grouping (pg. 293: 7-65 odd) A. Factor a polynomial containing four terms by grouping. 5.3 Factoring Trinomials of the Form (pg. 300: 11-87 odd) A. Factor trinomials of the form. B. Remove the greatest common factor from a trinomial. 5.4 Factoring Trinomials of the Form (pg. 311: 5-67 odd) A. Factor trinomials by trial and error. B. Factor trinomials by grouping (AC-method). C. Write a polynomial whose factors are listed. 5.5 Special Factoring Formulas and a General Review of Factoring (pg. 318: 13-99 odd) A. Factor the difference of two squares. B. Factor the sum and difference of two cubes. C. Identify the best factoring method for each type of polynomial. Note: The remainder of chapter 5 is on the chapter 6 exam. 6. Rational Expressions and Equations (10 topics) 5.6 Solving Quadratic Equations Using Factoring (pg. 323: 7-56 odd) A. Recognize quadratic equations. B. Write a quadratic equation given its solutions. C. Solve quadratic equations using factoring. 5.7 Applications of Quadratic Equations (pg. 328: 5-25 odd)) A. Solve applications by factoring quadratic equations. B. Learn the Pythagorean Theorem. 6.1 Simplifying Rational Expressions (pg. 343: 1-65 odd) A. Determine the values for which a rational expression is defined. B. Simplify rational expressions. Page 4 of 5
C. Factor a negative 1 from a polynomial. 6.2 Multiplication and Division of Rational Expressions (pg. 350: 7-75 odd) A. Multiply rational expressions. B. Divide rational expressions. 7. Graphing Linear Equations (21 topics) 7.1 The Cartesian Coordinate System and Linear Equations in Two Variables (pg. 409: 9-43 odd) A. Plot points in the Cartesian coordinate system. B. Determine whether an ordered pair is a solution to a linear equation. C. Solve applications. 7.2 Graphing Linear Equations (pg. 417: 1-67 odd) A. Find missing coordinates of ordered pairs. B. Graph horizontal and vertical lines. C. Graph linear equations by plotting points. D. Graph linear equations using the x- and y-intercepts. E. Write equations of lines from graphs. 7.3 Slope of a Line (pg. 427: 11-67 odd) A. Find the slope of a line given two points. B. Find the slope of a line from a graph. C. Graph a line with a given slope through a point. D. Examine the slopes of parallel and perpendicular lines. 7.4 Slope-Intercept Form of a Linear Equation (pg. 439: 9-63 odd) A. Determine the slope and y-intercept of a line. B. Graph a linear equation using the slope and y-intercept. C. Write linear equations in slope-intercept form. D. Determine whether two lines are parallel, perpendicular, or neither. E. Write the equation of a line using given properties. 7.5 Graphing Linear Inequalities (pg. 444: 5-25 odd) A. Graph linear inequalities in two variables. B. Solve applications. Page 5 of 5