Mth1825 Exam 1 Lecture Review

Review: Properties(From Quiz) Match the name the property from the box that justifies each statement.

A) Associative Property of Addition B) Associative Property of Multiplication

C) Commutative Property of Addition D) Commutative Property of Multiplication

E) Identity Property of Addition F) Identity Property of Multiplication

G) Inverse Property of Addition H) Inverse Property of Multiplication

I) Distributive Property J) Multiplication Property of 0

3 3 3 3    0   0   i) 5 5 _____ ii) 5 5 ____ iii) 5  (6  7)  (5  6)  7 ____ iv) 5 (6  7)  5 (7  6) ____

 3   5   3  3 v)      1 ___ vi)   1   _____  5   3   5  5

2 6 2 4 4 (  )   2(3  5)  2(5  3) vii) 3 7 5 7 15 ___ viii) ____ Mth1825 Exam 1 Lecture Review

From Quiz: Classify the numbers by set. Check all boxes that the number belongs to

Number Natural Whole Integers Rational Irrational Real  9 0  1.8 2  4 4 16 2 52

Review:  22 3 13 Inequalities: Solve   (2x 1)  3 4 6 Mth1825 Exam 1 Lecture Review

Solving Linear Equations: Types of Linear Solutions: I. Conditional Equations Solution:

II. Contradiction: Solution:

III. Identity: Solution:

Helpful strategies: If there are fractions, multiple by the LCD first! Make sure you distribute all values and signs:

From ALEKS HW #1 3x 1 2x  5 3   4 2 Mth1825 Exam 1 Lecture Review

x 1 5  2x 3   2 4

x 1 14  2x 3   2 4 Mth1825 Exam 1 Lecture Review

Applications: (From Quiz) Make sure you show ALL WORK. The Equation set up is the key!

1. How much 10% acid solution should be mixed with 1 L of 25% acid solution to produce a solution that is 15%? Mth1825 Exam 1 Lecture Review

2. A total of $20,000 is invested between 2 accounts: one paying 4% simple interest and the other paying 3% simple interest. After 1 year the total interest was $720. How much was invested at each rate? Mth1825 Exam 1 Lecture Review

3. Two cars are 192 miles apart and travel towards each other on the same road. They meet in 2 hours. One car travels 4 mph faster than the other. What is the average speed of each car? Mth1825 Exam 1 Lecture Review

4. Suppose you borrow $18,000 in two loans. One loan charges one paying 11% simple interest and the other charged 6% simple interest. After 1 year you paid a total of $1380 in interest.. How much was invested at each rate? Mth1825 Exam 1 Lecture Review

5. Two different teas are mixed to make a blend. Black tea sells for $2.20/lb and Orange pekoe sells for $3.00/lb. How many pounds of each should be mixed to make 4 lbs of a blend selling for $2.50? Mth1825 Exam 1 Lecture Review

6. You and your friend are going to run a race. You run an average of 0.2 mph faster than your friend. If it takes you 1.4 hours to run the race and your friend 1.65 hours, what is the average speed of each of you? Mth1825 Exam 1 Lecture Review

7. How many liters of 24% alcohol must be added to a 10% alcohol solution to get 20L of 15% alcohol solution? State how much of each solution is needed to make the mixture. Mth1825 Exam 1 Lecture Review

Note: You can easily generate more practice problems for the applications (or any other type of problem) using the review menu in ALEKS. After you have mastered a topic, it will show up there. If you have not yet mastered that topic, it is in your pie.

Make sure you complete ALL of your Chapter 1 pie by 11:59 pm TONIGHT (9/17/10) at 11:59 pm. Below your pie ALEKS tells you what you have left to do.

Complete HW#2 (opens Saturday) BEFORE the exam. This material is on the exam. If you did not get a 100%, Practice more of that type to make sure you can do them for the exam.

You will have as assessment on Saturday. If ALEKS indicates that you need to review certain topics, please do so you will be prepared for the exam.

Make sure you bring your MSU ID, calculator and pencil to the exam on Monday. You MUST have all programs cleared out of your memory before you come. If you are not a morning person (or plan to take a nap before class!), make sure you get 2 or 3 friends to give you a wake up call! Get a good night’s sleep and a good meal before so you can focus and do your best!

REVIEW SESSION: Sunday, 9-19-10 time: 2:00-4:00 pm in CEM 138 MLC is also open Sunday 5:10 – 8:20 pm