Exploring Absolute Value Graphs

ABS Constructed Response

Absolute Value Constructed Response

Read problem below and answer one of the questions below in the comment section of this post. ( 5 pts. )

Edgar, Deanna, Dennis, and Jean all live on the same street as their school.  The street runs from east to west.

·      Edgar lives 9 blocks to the west of the school.

·      Deanna lives 4 blocks to the east of the school.

·      Dennis lives 7 blocks to the west of the school

·      Jean lives 6 blocks to the east of the school.

Use this information complete the following:

1.     Represent the relative position of the houses on a number line with the school at 3.  Negative numbers represents points to the west, and positive numbers represent points to the east

2.     How far does Edgar live from Deanna?   Show how you arrived at your answers using sums or differences.

3.     Jean says she lives 2 blocks from Deanna? Is she correct?  Explain your reasoning using the number line or sums and differences to explain your answer.

4.     If Kevin and Edgar lives equal distances from the school but at opposite ends what number would represent Kevin’s. Show how you arrived at your answers using sums or differences.

Inequality Word Search Puzzle

Inequality Word Search Puzzle

Print out the word search puzzle and complete.  You must find all the words.  Hand-in the completed word search puzzle to your instructor.   You will not receive credit for completing both the Logic Puzzle and Word Search Puzzle. (10 pts.)

Inequality Journal Writing

Directions: Choose one of the following problems below to answer in 3 to 4 sentences and then post your answer in the comment section of this post. ( 5 pts.)

1.     Suppose you are going to purchase some CDs and video games, your parents gave you $120.00 to spent.  How would you model this situation with an equation or an inequality? Explain the reasons for your choice.

2.     How is the process for solving equations and inequalities similar and\or different?

3.     Suppose your friend tells you that for your birthday, you can either go to the movies or see One Direction in concert.  Is this more like a conjunction or a disjunction? Explain your answer.

4.     A member of your study group has come up with a shortcut for solving

an inequality like -6 > 3x +  9 or  2x – 5 > 7.  He says that you don’t have to do separate inequalities. He says that you can combine the inequalities and treat it as an inequality with three sides. Do you agree? Explain why or why not.

5.     Indicate how these statements are similar and\or dissimilar.

a.     A number is at most 16.

b.     A number is no more than 16.

c.      A number is at least 16.

d.     A number is greater than or equal to 16.

Team Review of Inequality

Inequality Team Review

With a partner choose two problems from each section to solve on a separate sheet of paper.  You must show all work and hand-in to your instructor.  (30 pts)

Inequality Problem Solving

Inequality Problem Solving

  Choose a problem from 1 to 7 to solve and post your answer in the Comments section of the blog. ( 5 pts.)

1.  The Siamese Fighting Fish (Bettas) is a tropical fish that requires a water temperature between 75 and 86 degrees Fahrenheit, inclusive.  An aquarium is cooled 10 degrees so that the Bettas can live in it. What temperatures could the water have been before the cooling? 
2. Julianna’s car can travel between 125 and 200 miles on a half  full tank of gas. She filled her gas tank and drove 75 miles.  How many more miles can she drive without running out of gas?
3. Santos’s allowance is tripled and is now between $30 and $45, inclusive.  He can earn an additional $10, if he helps his neighbor with their dog.  Write as an inequality the minimum and maximum amount Santos can earn every week.
4. A local restaurant is hiring trainees with less than 5 year of experience and managers with 8 or more years of experience. Write the inequality.

The elliptical orbits of planets bring them closer to and farther from the Sun at different times. The closest (perihelion) and furthest (aphelion) points are given for three planets below. Use this data to answer questions 5–7.

Planet	Perihelion (in 106 km)	Aphelion (in 106 km)
Mercury	4600.1	6981.7
Venus	1074.8	1089.2
Earth	1470.9	1521.9

5. Write an inequality to represent the distances d from the sun to Venus.

6.  A Russian spacecraft is traveling between Venus and Mercury.  It is currently between their orbits.  Write an  inequality shows the possible distance p from the probe to the Sun?

7. At what distances O  do the orbits of Earth and Venus overlap, write an inequality to represent the distance?

Inequality Logic Puzzle

Print out the Inequality Logic Puzzle and then solve it.  Hand in the complete logic puzzle for credit. (20 points)

Inequality Logic Puzzle

	Mrs. Taylor	Mrs. Bush	Mrs. Rivera	Mr.  Richardson	2	4	6	8	72	75	86	93
Calvin
Erica
Jamie
Alfred
72
75
86
93
2
4
6
8

1. Calvin is at most missing 6 assignments.
2. The student who has Mrs. Taylor, test average is no less than 80.
3.  Alfred is missing 8 assignments.
4. The student whose test average is no more 74 has Mr. Rivera.
5. Mr. Richardson has the only female student in the group.
6. Erica discovered that she is missing approximately 8x ≤ 24 assignments.
7. Jamie stated if he scores 97 on his next test, his test average will be 95.
8. Erica's test averages is greater than Calvin but less than Alfred.
9. Jamie is missing fewer assignments than Calvin, but more than Erica.
10. Mrs. Bush told her student that if he made up one missing assignment every day this week, he would be done by Friday.
11. The student missing 6 assignments teacher is Mr. Rivera.