College Algebra

MAT 1302, College Algebra 1

Course Learning Outcomes for Unit VII Upon completion of this unit, students should be able to:

3. Utilize algebraic principles to graph systems to include inequalities. 3.1 Investigate whether an ordered pair is a solution of a linear system in two variables. 3.2 Solve linear and nonlinear systems by the substitution and addition method. 3.3 Solve applications involving systems of linear equations in two variables.

6. Solve linear systems with two variables to include inequalities.

6.1 Graph linear and nonlinear inequalities in two variables. 6.2 Graph linear and nonlinear systems of inequalities.

Course/Unit Learning Outcomes

Learning Activity

3.1

Unit Lesson Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548- 552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597 Problem Solving Assignment MML Homework

3.2

Unit Lesson Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548- 552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597 Problem Solving Assignment MML Homework

3.3

Unit Lesson Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548- 552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597 Problem Solving Assignment MML Homework

6.1

Unit Lesson Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548- 552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597 Problem Solving Assignment MML Homework

6.2

Unit Lesson Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548- 552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597 Problem Solving Assignment MML Homework

UNIT VII STUDY GUIDE

Systems of Equations and Inequalities

MAT 1302, College Algebra 2

UNIT x STUDY GUIDE

Title

Reading Assignment Chapter 5.1: Systems of Linear Equations in Two Variables, pp. 542–546, 548–552 Chapter 5.4: Systems of Nonlinear Equations in Two Variables, pp. 580–584 Chapter 5.5: Systems of Inequalities, pp. 592–595, 596–597

Unit Lesson This study guide provides an overview of concepts that you will learn in Unit VII. For additional instruction and examples, please refer to sections 5.1, 5.4, and 5.5 in your textbook.

Section 5.1: Systems of Linear Equations in Two Variables Assume that you are remodeling your home. You want to buy paint for each room and new carpet for each bedroom. You have a fixed budget of $3,000. If you know how much the carpet per square foot and paint per gallon costs, then you can create a system of equations to help you figure out how much paint and carpet you can afford. This scenario describes a system of linear equations in two variables where the variables represent the amount of paint and carpet. In this section, we will solve systems of linear equations in two variables. Click here to learn about systems of linear equations in two variables.

Section 5.4: Systems of Nonlinear Equations in Two Variables We can expand our knowledge of systems of equations in two variables by looking at nonlinear systems. A nonlinear system is a system that contains at least one nonlinear equation. Examples of nonlinear equations are quadratic, cubic, and square-root equations. Click here to learn about systems of nonlinear equations in two variables.

Section 5.5: Systems of Inequalities In section 5.1, we learned that the point of intersection between two lines is a solution to the system of linear equations. In section 5.4, we learned that there could be multiple solutions when two nonlinear equations or a nonlinear and linear equation intersect. In this section, we will examine linear and nonlinear inequalities and find the set of all solutions that fits the conditions given by the inequality sign. Click here to learn about systems of inequalities.

Looking Ahead After you review sections 5.1, 5.4, and 5.5 of the study guide, begin your Unit VII Homework Assignment in MyMathLab. You will be instructed to watch several instructional videos before you complete your homework problems. It is recommended that you print the following note taking guide to use while you watch the unit homework videos.

➢ Click here to download and print the Unit VII Homework Videos Note-Taking Guide.

Learning Activities (Nongraded) Nongraded Learning Activities are provided to aid students in their course of study. You do not have to submit them. If you have questions, contact your instructor for further guidance and information. Open your study plan in MyMathLab to see your progress and do supplemental practice exercises. The study plan will update each time you take an assessment. The study plan is for extra practice.