Some activities may require making graphs on paper. Click here to view and print graph paper, as needed. |
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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. |
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In the following problems, use the order of operations to evaluate the problems. |
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Extra Practice Challenge: Check with you instructor to see if s/he would like for you to do some extra practice challenge problems. Click here to view the worksheet. |
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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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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Parts of an Algebraic Expression |
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17) In the algebraic expression 3xy + 13 – 5a, name a term, the constant, and a coefficient. Select the letter of the answer that has the term first, the constant second, and the coefficient last. |
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18) Which algebraic expression has a coefficient of 5? |
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19) Translate the following phrase into an algebraic expression: “the quotient of a number and 6.”
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20) Select the correct translation for the following phrase: “x decreased by 14.”
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21) Select the correct translation for the following phrase: “four times a number increased by 3.”
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22) Translate the following phrase into an algebraic expression: “two more than twice last month’s sales.”
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23) Select the correct translation for the following phrase: “twice the sum of two and y.”
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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the worksheet. |
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Properties of Real Numbers |
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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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24) 5x + 0 = 5x, Multiplicative Property of Zero |
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25) 9 + 8 = 8 + 9, Commutative Property of Addition |
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26) x(3y) = (3y)x, Associative Property of Multiplication |
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27) 251 = 251 × 1, Commutative Property of Multiplication |
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28) (5 + a) + 6 = 5 + (a + 6), Associative Property of Addition |
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29) mn(0) = 0, Identity Property of Multiplication |
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30) (3 + 5) + m = (5 + 3) + m, Commutative Property of Addition |
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31) The set of whole numbers is closed under division. |
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32) The set of real numbers is closed under multiplication. |
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How to "Add a Log Entry"
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33) 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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