Some of the questions in this course may be answered by recording an audio file. If you chose to record the answer, click on the Add Recording button and follow the on-screen instructions closely. Once you have completed and attached the recording, enter the word “COMPLETE” in the text box. (Note: If your computer does not have a built-in microphone, a microphone or microphone/headset combination is needed to record audio.)
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Sets of Numbers
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| 1) Which number is an element of the whole numbers but is not an element of the natural numbers?
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| 2) Is 2.88 rational or irrational?
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| 3) Is "pi" rational or irrational?
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| 4) Name all sets of numbers to which 21/7 belongs.
Hint: Make sure you know the set of numbers that each letter represents. If needed go back to the lesson.
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Order of Operations
In the following problems, use the order of operations to evaluate the problems.
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5) Evaluate.
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Introduction to Variables and Expressions
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In the following problems, evaluate the expressions for a = 5, b = 3, and c = 4.
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Parts of an Algebraic Expression
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| 15) Which algebraic expression has a coefficient of 5?
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| 16) Translate the following phrase into an algebraic expression: “the quotient of a number and 6.”
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| 17) Select the correct translation for the following phrase: “x decreased by 14.”
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| 18) Select the correct translation for the following phrase: “four times a number increased by 3.”
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| 19) Translate the following phrase into an algebraic expression: “two more than twice last month’s sales.”
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| 20) Select the correct translation for the following phrase: “twice the sum of two and y.”
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Properties of Real Numbers
In the following problems, state “True” if the property given is illustrated in the example. State “False” if it is not, and then give the correct property illustrated or state a counterexample.
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| 21) 5x + 0 = 5x, Multiplicative Property of Zero
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| 22) 9 + 8 = 8 + 9, Commutative Property of Addition
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| 23) x(3y) = (3y)x, Associative Property of Multiplication
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| 24) 251 = 251 × 1, Commutative Property of Multiplication
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| 25) mn(0) = 0, Identity Property of Multiplication
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| 26) (3 + 5) + m = (5 + 3) + m, Commutative Property of Addition
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| 27) The set of whole numbers is closed under division.
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| 28) The set of real numbers is closed under multiplication.
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| 29) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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