Be Able To Simplify an algebraic expression Evaluate an algebraic expression Apply the concepts

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1 Chapter 1 Summary: Linear Equations and Inequalities Course Textbook by McKeague, Essentials of Elementary and Intermediate Algebra: A Combine Course, XYZ Textbook Section 1: Variable Algebraic Expression Terms Similar (Like) Terms Section 2: Linear equation in Addition Property of Equality Section 3: Multiplication Property of Equality Section 4: Section 5: Formula Section 6: Simplify an algebraic expression Evaluate an algebraic expression Apply the Addition Property of Equality to solve a linear equation in Equality to solve a linear equation in one variable Apply both the Addition and Multiplication Property of Equality to solve a linear equation in Property of Equality to solve a formula for a specified variable Construct and solve basic percent Construct and solve number Construct and solve geometry Chapter 1 Page 1 of 5

2 Section 7: Section 8: Linear Addition Property for Inequalities Multiplication Property for Inequalities Section 9: Compound Inequality Construct and consecutive integer Construct and solve interest Construct and solve triangle Construct and solve miscellaneous Apply the Addition Property for Inequalities to solve a linear inequality in Inequalities to solve a linear inequality in Property of Equality to solve a linear Construct and solve linear inequalities in Apply the Addition Property for Inequalities to solve a linear compound Inequalities to solve a linear compound Property of Equality to solve a linear compound Construct and solve linear compound inequalities in Chapter 1 Page 2 of 5

3 Sample Applications of Chapter 1 Content Use a given expression to calculate target heart rate Example: 220 a where a is your age Use a given express to calculate Basal Metabolic Rate (BMR) for women Example: x y 5z 161 where x is weight in pounds, y is height in inches and z is age in years. Use a given expression to calculate Basal Metabolic Rate (BMR) for men Use a given formula to calculate a drug dosage Example: x D where x is the number of tablets to administer to the patient, D is the A prescribed dosage ordered by the physician and A is the available dosage. Use a given formula to calculate deductions Use a given formula to calculate gross pay Use a given formula to calculate pay from tutoring job Use a given formula to calculate car rental price Use a given formula to calculate minimum wage Use a given formula to find pulse pressure Example: P S D where P is the pulse pressure, S is the systolic blood pressure and D is the diastolic blood pressure Use a given formula to calculate Body Mass Index (BMI) W Example: BMI where W is the weight in pounds and H is the height in inches H Chapter 1 Page 3 of 5

4 Use a given formula to determine Body Mass Index (BMI) range Solve circumference of circle formula for a specified variable Solve markup formula for a specified variable Solve supplementary angles formula for a specified variable Solve complementary angles formula for a specified variable Solve sum of angles in a Triangle formula for a specified variable Solve profit formula for a specified variable Solve discount formula for a specified variable Solve Hardy-Weinberg formula for a specified variable Example: p q 1 where p is the frequency of the dominant allele in a population and q is the frequency of the recessive allele in a population Solve distanced formula for a specified variable Solve Fahrenheit to Celsius formula for a specified variable Solve Celsius to Fahrenheit formula for a specified variable Solve Celsius to Kelvin formula for a specified variable Solve perimeter of triangle formula for a specified variable Solve perimeter of trapezoid formula for a specified variable Solve perimeter of square formula for a specified variable Solve perimeter of parallelogram formula for a specified variable Chapter 1 Page 4 of 5

5 Solve perimeter of rectangle formula for a specified variable Solve area of parallelogram formula for a specified variable Solve area of triangle formula for a specified variable Solve area of trapezoid formula for a specified variable Solve area of triangle formula for a specified variable Solve volume of rectangular solid formula for a specified variable Solve volume of right circular cone formula for a specified variable Solve volume of right circular cylinder formula for a specified variable Solve simple interest formula for a specified variable Solve distanced formula for a specified variable Solve Newton s 2 nd Law of Motion formula for a specified variable Solve continuous compound interest formula for a specified variable Chapter 1 Page 5 of 5

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