Math 085: Review



Review for Test 1

Math 085 Academic Systems

Format

• The exam will be 6 pages long.

• It is a paper and pencil exam – it will not be on the computer.

• You will need to show your work.

• You will not be permitted to use a calculator for the exam.

• The exam will last for the full class time.

Basic Content.

• You are responsible for sections F2.1, F2.2, F2.3, and F2.4.

• In addition to the material covered in the class, you are responsible for all of the basic facts you have learned since kindergarten. These include the facts that George W. Bush is the President of the United States of America and that [pic].

Where You Should Be

• You should plan to finish your work on Academic Systems two days prior to the exam (or early on the day before the exam at the latest). You should plan to have your homework done by a decent hour on the day before the exam.

• After completing your homework, you should plan on spending 2 to 5 hours studying for this exam (more time is certainly appropriate when necessary).

• Additionally, I would find a few challenging problems in the book from each topic. Write these down and solve them with your book closed.

• Remember, the exam is closed book and closed note. It is also timed. I recommend that you study under the same or similar constraints.

• Can you work all the practice test problems, without notes or calculator, in one hour? This is a good way to assess whether you are prepared for the exam.

Specific Skills You Will Need

Section F2.1: Fractions I

• Finding a fraction that is equivalent to a fraction with a given denominator

• Determining whether two fractions are equivalent

• Finding the greatest common factor of two or more whole numbers

• Simplifying a fraction

• Writing a mixed number as an improper fraction

• Writing an improper fraction as a mixed number

• Multiplying fractions

• Finding the reciprocal of a fraction

• Dividing fractions

• Finding z in some equations that contain fractions

Section F2.2: Fractions II

• Finding a common denominator of two or more fractions

• Finding the least common denominator of two or more fractions

• Using a common denominator to order fractions

• Adding or subtracting fractions that have the same denominator

• Adding or subtracting fractions that have different denominators

• Using the properties of fractions and the order of operations to add, subtract, multiply, and divide fractions

• Adding or subtracting fractional terms that contain a letter such as x or y.

• Solving some equations that contain fractions

Section F2.3: Decimals I

• Decimal notation

• The place value of digits in a decimal number

• How to read a write decimal numbers

• How to order decimal numbers

• How to round decimal numbers

• Decimals and fractions on a number line

• How to write some decimal numbers as fractions

• How to write some fractions as decimals

Section F2.4: Decimals II

• Adding decimal numbers

• Subtracting decimal numbers

• Adding or subtracting decimal terms that contain a letter such as x and y.

• Solving some equations that contain decimal numbers

• Multiplying decimal numbers

• Dividing decimal numbers

• Using properties of real numbers and the order of operations to add, subtract, multiply, and divide decimal numbers

Practice Problems for the Review in Class

The practice problems given are a sample of what will be on the exam. However, the actual exam will include around three times this number of problems.

Section F2.1: Fractions I

|(1.) [pic] |(2.) [pic] |

(3.) Solve: [pic]

Section F2.2: Fractions II

|(4.) [pic] |(5.) [pic] |

(6.) [pic]

Section F2.3: Decimals I

(7.) Order 0.05, 0.50, 0.49, 0.51, and 0.005 from least to greatest.

| |____ |

(12.) Evaluate: [pic]

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