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 INTERMEDIATE ALGEBRA
 Course Syllabus for Algebra I
 MidPlains Community College
 FRACTION OF A WHOLE NUMBER
 Systems of Linear Equations
 MATH FIELD DAY
 Course Outline for Finite Mathematics
 Calculus
 Algebra Final Examination
 Math 310 Exam #2
 Review of Trigonometric Functions
 Math 118 Practice test
 Precalculus Review
 Section 12
 Literal Equations
 Calculus Term Definitions
 Math 327A Exercise 2
 Public Key Algorithms II
 Maximizing Triangle Area
 Precalculus I Review for Midterm
 REVIEW OF A FIRST COURSE IN LINEAR ALGEBRA
 Math 6310 Homework 5
 Some Proofs of the Existence of Irrational Numbers
 ALGEBRAIC PROPERTIES OF MATRIX OPERATIONS
 Math 142  Chapter 2 Lecture Notes
 Math 112 syllabus
 Math 371 Problem Set
 Complex Numbers,Complex Functions and Contour Integrals
 APPLICATIONS OF LINEAR EQUATIONS
 Week 4 Math
 Fractions
 Investigating Liner Equations Using Graphing Calculator
 MATH 23 FINAL EXAM REVIEW
 Algebra 1
 PYTHAGOREAN THEOREM AND DISTANCE FORMULA
 Georgia Performance Standards Framework for Mathematics  Grade 6
 Intermediate Algebra
 Introduction to Fractions
 FACTORINGS OF QUADRATIC FUNCTIONS
 Elementary Algebra Syllabus
 Description of Mathematics
 Integration Review Solutions
 College Algebra  Applications
 A Tip Sheet on GREATEST COMMON FACTOR
 Syllabus for Elementary Algebra
 College Algebra II and Analytic Geometry
 Functions
 BASIC MATHEMATICS
 Quadratic Equations
 Language Arts, Math, Science, Social Studies, Char
 Fractions and Decimals
 ON SOLUTIONS OF LINEAR EQUATIONS
 Math 35 Practice Final
 Solving Equations
 Introduction to Symbolic Computation
 Course Syllabus for Math 935
 Fractions
 Fabulous Fractions
 Archimedean Property and Distribution of Q in R
 Algebra for Calculus
 Math112 Practice Test #2
 College Algebra and Trigonometry
 ALGEBRA 1A TASKS
 Description of Mathematics
 Simplifying Expressions
 Imaginary and Complex Numbers
 Building and Teaching a Math Enhancement
 Math Problems
 Algebra of Matrices Systems of Linear Equations
 Survey of Algebra
 Approximation of irrational numbers
 More about Quadratic Functions
 Long Division
 Algebraic Properties of Matrix Operation
 MATH 101 Intermediate Algebra
 Rational Number Project
 Departmental Syllabus for Finite Mathematics
 WRITTEN HOMEWORK ASSIGNMENT
 Description of Mathematics
 Rationalize Denominators
 Math Proficiency Placement Exam
 linear Equations
 Description of Mathematics & Statistics
 Systems of Linear Equations
 Algebraic Thinking
 Study Sheets  Decimals
 An Overview of Babylonian Mathematics
 Mathematics 115  College Algebra
 Complex Numbers,Complex Functions and Contour Integrals
 Growing Circles
 Algebra II Course Curriculum
 The Natural Logarithmic Function: Integration
 Rational Expressions
 QUANTITATIVE METHODS
 Basic Facts about Rational Funct
 Statistics
 MAT 1033 FINAL WORKSHOP REVIEW
 Measurements Significant figures
 PreCalculus 1
 Compositions and Inverses of Functions
APPLICATIONS OF LINEAR EQUATIONS
Key Words:
• Addition  sum, added to, increased by, more than
• Subtraction  difference, minus, decreased by, subtracted from
• Multiplication  product, times, double (2x), tripled (3x)
• Division  quotient, ratio, divided by
Formulas:
• Area of square:
• Area of a rectangle:
• Area of a triangle:
• Area of a trapezoid:
• Area of a circle:
• Perimeter:
In other words, add each side together.
• Circumference of a circle:
Angle Properties:
• Vertical Angles are opposite angles formed by intersecting lines.
Vertical angles always have the
same measurement.
• Complementary Angles are two angles whose sum is 90°.
• Supplementary Angles are two angles whose sum is 180°.
Common Mistakes to Avoid:
• For perimeter, be sure to add EACH AND EVERY side in the formula.
• Be very careful to translate the problem into correct mathematical form. When
it has been translated,
you should be able to read it back.
• Be careful: a minus b is translated a  b; whereas, a less than b is
translated b  a.
• Be careful on the difference between these two statements:
 The sum of four times a number and 5 is translated 4x + 5.
 Four times the sum of a number and 5 is translated 4(x + 5).
• Make sure that you answer the question being asked. If it asks for two
answers, give both.
PROBLEMS
1. The sum of four and twice a number is 46. Find the number. Let x = the number.

3. A number decreased by 15 is 123. Find the number. Let x = the number.

2. Three times the sum of nine and a number is 48. Find the number. Let x = the number.

4. If seven is subtracted from a number and this difference is doubled, the result is four more than the number. Find the number. Let x = the number.

5. If the quotient of three times a number and four is decreased by three, the result is ten. Find the number. Let x = the number.

7. A stainedglass window in a church is in the shape of a square. The perimeter of the square is eight times the length of a side in feet, decreased by twelve. Find the length of a side of the window. Let

6. A 19 foot piece of string is cut into two pieces so that one piece is five feet shorter than twice the shorter piece. Find the length of both pieces. Let x = the shorter piece

8. The length of a rectangular shaped garden is five feet more than twice the width. The perimeter is 58 feet. Find the length and width of the garden. Let w = the width of the garden.

9. A lot is in the shape of a triangle. One side is 32 feet longer than the shortest side while the third side is ten feet shorter than twice the shorter side. The perimeter of the lot is 238 feet. Find the length of the sides of the lot. Let x = the shortest side.

10. The supplement of an angle measure 15° more than four times its complement. Find the measure of the angle. Let x = the degree measure of the angle.
