Unit 6 Solving and Graphing Writing Linear Inequalities

 Unit 6 Essential Questions Lesson 1 Essential question 1 Lesson 2 Essential Question 2

Learning Objectives Unit 6
Solving and Graphing Linear Equations
1
Solving One-Step Linear Inequalities
• Graph linear inequalities in one variable
• Solve one-step linear inequalities
2
Solving Multi-Step Linear Inequalities
• Solve multi-step linear inequalities
• Use linear inequalities to model and solve real-life problems
3
Solving Compound Inequalities
• Write, solve. and graph compound inequalities
• Model real-life situations with a compound inequality
4
Solving absolute-Value Equations and Inequalities
• Solve absolute-value equations
• Solve absolute-value inequalities
5
Graphing Linear Equations in Two Variables
• Graph a linear inequality in two variables
• Model a real-life situation using a linear inequality in two variables
6
Stem-and-Leaf Plots and Mean, Median, and Mode: Exploring Data and Statistics
• Make and use a step-and-leaf plot to put data in order
• Find the mean, median, and mode of data
7
Box-and-Whisker Plots: Exploring Data and Statistics
• Draw a box-and-whisker plot to organize real-life data
• Read and interpret a box-and-whisker plot of real-life data

# Solving and Graphing Linear Inequalities

At the end of the chapter you will be able to:
• Write an inequality from a graph
• Graph an inequality in one variable
• Graph an inequality in two variables
• Solve one-step inequalities using addition
• Solve one-step inequalities using subtraction
• Solve one-step inequalities using multiplication
• Solve one-step inequalities using division
• Solve multi-step inequalities
• Solve compound inequalities
• Solve inequalities using absolute value
• Graph inequalities on the coordinate plane

 Unit 6 Key Concepts Concept:1. c1 Concept:2. c2 Concept:3. c3 Concept:4. c4 Concept:5. c5 Concept:6. c6

## Skills Quizzes : Properties of Real Numbers

Quiz Name Skill Assessed Practice File Passing Grade Notes
Graphing Solve systems of equations by graphing; check the solution See homework assignments for practice problems 3 out of 4
Substitution Solve systems of equations using the substitution method; check the solution. See homework assignments for practice problems 3 out of 4
Linear Combinations Solve systems of equations using linear combinations; this includes adding, subtracting, multiplication, division; check the solution. See homework assignments for practice problems 3 out of 4
Writing Systems of Equations Write a system of equations to model a problem; then solve the system and check the solution. 5 out of 6
Writing Systems of Equations Write a system of equations to model a problem; then solve the system and check the solution.
Sample: The difference of George's age and Madison's age is 9 years. The sum of 6 times George's age and 5 times Madison's age is 153. How old is each?
Practice problem sets (PDF) 3 out of 3 Practice problem set solutions (PDF)
Sample Word Problems For each of these word problems, students should be able to:
• Write a system of equations that models the propblem
• Choose an appropriate method for solving the system - graphing, substitution, linear combinations
• Solve the system (for all variables)
• Check the solution (in all equations) algebraically

 Samantha has \$3.40 in dimes and quarters. The number of dimes is 8 less than the number of quarters. How many coins of each type does she have? A piggy bank has \$4.30 in dimes and quarters. If the number of dimes is 7 more than 2 times the number of quarters, how many coins of each type are in the piggy bank? George's age is 5 times Kendell's age. The sum of their ages is 48. Find the age of each. The difference of Jimmy's age and Linda's age is 10 years. The sum of 5 times Jimmy's age and 4 times Linda's age is 104. How old is each? There were 235 people at a movie to raise funds for the drama club. Admision was \$8.00 for each adult and \$4.00 for each student. The total receipts for all tickets was \$1504.00. How many adults and how many students attended? The length of a rectangle is 11 m less than 5 times the width. The perimeter is 434 m. Find the length and width of the rectangle. George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score? The difference of Jen's age and Mark's age is 6 years. The sum of 4 times Jen's age and 3 times Mark's age is 108. How old is each?