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| 5) Click here to print out the chart. Find the output for y = 2x + 1 by substituting the input values (x) in the function rule, then calculating to find the output (y). State the input value, the function rule, and the output for each input value.
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| 6) Click here to print out the chart. Find the output for y = 10 – x by substituting the input values (x) in the function rule, then calculating to find the output (y). State the input value, the function rule, and the output for each input value.
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Variables and Expressions
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| 7) Twice a number plus 18 equals 72. Write an expression and solve.
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| 8) Mary sold 20 tickets for the musical. She sold 13 more adult tickets than children. How many children tickets did she sell? Write an expression and solve.
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| 9) Josh talks on the phone for 45 minutes. It is .03 cents a minute. How much did that phone call cost? Write an expression and solve.
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Applying the Distributive, Commutative, and Associative Properties
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| 10) Find the answer to 8 × 75 using the distributive property. Fill in the steps. Write the answers for the blanks in the order given.
8 × 75 = 8 × (70 + 5)
8 × 75 = (8 × 70) + ( _____ × 5)
8 × 75 = 560 + _____
8 × 75 = _____
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| 11) Rewrite the expression, 6(x + 5), another way using the distributive property, and then evaluate the expression when x = 9.
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| 12) Rewrite x + 7 another way using the commutative property, and then evaluate the expression when x = 10.
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| 13) Group 5 + 2 + 8 two different ways using the associative property. Evaluate the expression both ways and state the answer.
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| 14) Group this problem to make it easier to solve using mental math. Look for sums of ten. State the answer and show how you grouped the numbers to make the addition easier.
4 + 6 + 3 + 9 + 1
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| 15) State the reasons to support the changes in the statements for the second, third, and fourth steps in the same order as given.
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| 16) Diane wants to plant bushes around the edge of a round flower garden. The radius of the garden is 10 ½ feet. How many bushes should she buy if she wants to plant one every two feet?
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| 17) State the letter and the answer to each question.
A. Find the area of the rectangle if a = 7, b = 6, and c = 8. All measurements represent inches. Explain how you found the area.
B. Find the area of the above rectangle another way. Explain how you found the area using this method.
The distributive property is: a × (b + c) = (a × b) + (a × c). Match each side of this equation with the methods you used in part “A” and part “B”.
C. Explain how you found the area that matches a × (b + c).
D. Explain how you found the area that matches (a × b) + (a × c).
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Use the cylinder to answer questions #24 and #25.
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| 26) 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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