(Hint: *You are expected to set up this problem correctly. Would an equation or an inequality work best for this problem?)

Transcription

1 Algebra Reporting Strand 2: Equations & Inequalities Subunit 2b: Solving Absolute Value Equations and Inequalities Review Name: Period: Date: Read all the directions carefully, put your answers in the blanks provided, and SHOW YOUR WORK!!! NO WORK = NO CREDIT CCSS 4-Mastery 3-Proficient 2-Basic 1-Below Basic 0-No Evidence Create Equations and Inequalities (A.CED.1) Solve Equations and Inequalities (A.REI.3) Meets all of the criteria in a Level 3 Completes tasks including synthesis and evaluation or in context of a new situation Create linear equations and inequalities with one variable and use them in a contextual situation and solve problems. Solve absolute value equations & inequalities (including graph of inequality as part of solution) Create linear equations or inequalities with one variable and use them in a contextual situation to solve problems Solve absolute value equations & inequalities Identify linear equations or inequalities with one variable to represent a contextual situation and use them to solve problems. Solve absolute value equations or inequalities Little evidence of reasoning or application to solve the problem Does not meet the criteria in a level 1 1. A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 per month in rent and will charge $60 per haircut. How many haircuts would she have to gives in one month to make the same profit at either location? 1. Equation/Inequality:

2 2. The acidity of the water in a swimming pool is considered normal if the average of three ph readings is between 7.2 and 7.8, inclusive. The first two readings for a swimming pool are 7.4 and 7.9. What possible values for the third reading p will make the average ph normal? 2. Equation/Inequality: 3. A movie club charges a one-time membership fee of $25, which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal? 3. Equation/Inequality:

3 4. John and 2 friends are going out for pizza for lunch. They split one pizza and three large drinks. The pizza cost $12. They spend a total of $ Find the cost of one large drink. 4. Equation/Inequality: 5. Your class hopes to collect at least 475 cans of food for the annual food drive. There were 131 cans donated the first week and 108 more the second week. Write an inequality that describes the situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass your goal. How many cans are needed to meet or surpass your goal? 5. Equation/Inequality:

4 6. Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Emma can jump. Manny can jump 40 inches. How far can Emma jump? 6. Equation/Inequality: 7. Steven wants to buy a $480 bicycle. Steven has no money saved but will be able to deposit $40 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $80 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? 7. Equation/Inequality:

5 Solve the following equations. 8. a 5 8 = m + 3 = n + 8 = n = x = 8 12.

6 b = Solve and graph the following inequalities n 2 > x x < x