Module 5

Day 94

Describe how you would graph the solution to an inequality. Include examples and graphs in your explanation.

Day 95

Utina and Paige are discussing the rules for changes in the direction of an inequality. Paige says the rule is, "Whenever you have a negative sign in the problem, the direction of the inequality symbol will change." Utina says that is not always true. Decide who is correct and give examples to support your answer.

Day 96

Explain each step in solving -3x+7< 4x-5.

Day 97

Write a paragraph explaining how you can identify the compound inequality solution that is represented on a number line graph. Use examples to illustrate.

Day 98

Explain the difference between the words and and or in a compound inequality.

Day 99

Suppose a friend is having difficulty solving absolute value inequalities. Write an explanation of this process with examples.

Day 100

Write about a real world situation concerning food in which it is important to know the numbers within a specific range. Write an absolute value inequality to model this situation.

Day 101

Describe what characteristics of a set of data you can gather from its box-and-whisker plot. What are some things you cannot gather from a box-and-whisker plot.

Day 102

Day 103

Day 104

Day 105

Day 106

Day 107

What are some advantages and some disadvantages of solving a system of equations by graphing. You may want to use the system below as an example.

    y= -�x + 3
    y= 3x - 4

Day 108

Write a paragraph describing a linear system that you would prefer to solve by graphing. Describe another linear system that you would prefer to solve by substitution. Provide reasons for your choices.

Day 109

Maribela says that a system of equations has no solution if both variables are eliminated by addition and subtraction. Devin argues that there may be an infinite number of solutions. Who is correct? Explain your answer.

Day 110

Explain why you might need to multiply each equation by a different number when using elimination to solve a system of equations.

Day 111

Explain any different or additional steps that you would use to solve a system of inequalities.

Day 112

Describe the method that you liked best when solving systems of linear equations. Explain your reasons.

Day 113

Suppose that a classmate has missed several school days during the time in your class is working on solving systems. Describe the four strategies for solving systems of linear equations so that your classmate will understand how to use them even after missing class. You may want to use the system below as an example. Be as clear and as specific as possible.

a) graphing
b) substitution
c) elimination by addition
d) elimination by multiplication

Day 114

Explain what it means to solve a system of linear equations.