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MATH 0930 – ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8TH EDITION) BY ANGEL & RUNDE
Course Outline
1. Real Numbers (33 topics)
1.3
Fractions (pg. 29: 1-89 odd)
A.
Simplify fractions.
B.
Change mixed numbers to fractions and vice versa.
C.
Multiply fractions.
D.
Divide fractions.
E.
Add and subtract fractions.
F.
Solve applications.
1.4
The Real Number System (pg. 36: 1-10 all, 17-51 odd)
A.
Identify sets of numbers.
B.
Classify numbers.
1.5
Inequalities (pg. 41: 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. 50: 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. 59: 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. 67: 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. 76: 7-121 odd)
A.
Evaluate expressions containing exponents.
B.
Lean the difference between −𝑥 2 and (−𝑥)2.
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. 83: 1-57 odd)
A.
Learn the commutative property.
B.
Learn the associative property.
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C.
D.
E.
Learn the distributive property.
Learn the identity properties.
Learn the inverse properties.
2. Solving Linear Equations and Inequalities (26 topics)
2.1
Combining Like Terms (pg. 103: 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. 110: 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. 117: 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. 125: 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. 135: 11-77 odd)
A.
Solve equations.
B.
Identify contradictions.
C.
Identify identities.
2.6
Formulas (pg. 144: 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.
2.8
Inequalities in One Variable (pg. 168: 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).
3. Applications of Algebra (13 topics)
3.1
Changing Application Problems into Equations (pg. 188: 11-97 odd)
A.
Translate phrases into mathematical expressions.
B.
Express the relationship between two related quantities.
C.
Write expressions involving percents.
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3.2
3.3
3.4
D.
Write expressions involving rates.
E.
Translate applications into equations.
Solving Application Problems (pg. 200: 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.
Geometric Problems (pg. 208: 11-37 odd)
A.
Solve perimeter problems.
B.
Solve angle problems.
C.
Solve visual problems.
Motion, Money, and Mixture Problems (pg. 219: 7-51, 55, 63, 65)
A.
Solve motion problems involving two rates.
B.
Solve money problems.
C.
Solve mixture problems.
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