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JEOPARDY Functions Equations Formulas Explicit Formulas Recursive Formulas 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5
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Is this a graph of a function?
1 Functions Is this a graph of a function? ANSWER
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Because it does pass the vertical line test
1 Functions ANSWER Yes Because it does pass the vertical line test Jeopardy
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Does the table below describe r as a function of s?
2 Functions Does the table below describe r as a function of s? S 1 2 3 R -3 6 9 ANSWER
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No. each s-value is NOT paired with exactly one r-value
2 Functions ANSWER No. each s-value is NOT paired with exactly one r-value Jeopardy
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Identify the domain and range of the function.
3 Functions Identify the domain and range of the function. {(2,4),(7,11),(9,13),(8,-4)} ANSWER
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3 Functions ANSWER Domain {2,7,9,8} Range {4,11,13,-4} Jeopardy
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4 Functions ? Then ANSWER
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4 Functions ANSWER 273 Jeopardy
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What real numbers are not in the domain of
5 Functions What real numbers are not in the domain of Justify your answer ANSWER
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5 Functions ANSWER 5 and -5 Jeopardy
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1 Equations Solve for y 3y+60 = 5y+42 ANSWER
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1 Equations ANSWER y = 9 Jeopardy
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2 Equations Sam was selling apples to raise money. For each 20 pound box of apples sold, the club raised $ How many boxes must the club sell to raise $112.50 ANSWER
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2 Equations ANSWER 45 boxes Jeopardy
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3 Equations Solve the equation ANSWER
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3 Equations ANSWER x = 210 Jeopardy
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4 Equations A concert group plans to visit 3 cities on a tour. One third of the total distance to be traveled by the group is from its home city to the first city. One fifth of the total distance is from the first city to the second city. It is 273 miles from the second city to the third city. Find the total numbers of miles traveled. ANSWER
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4 Equations ANSWER d = 585 miles Jeopardy
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5 Equations Stuart works part-time to earn spending money and to save for college. Each month he plans to save ¼ of his earnings, to spend 1/5 of his earnings on clothes and to spend 1/6 of his earnings on transportation. The remainder will be used for entertainment. Last month Stuart had $46 to spend on entertainment. How much did he earn last month? ANSWER
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Stuart earned $120 last month.
5 Equations ANSWER Stuart earned $120 last month. Jeopardy
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Where d is distance, r is rate and t is time.
1 Formulas d = r t Where d is distance, r is rate and t is time. Calculate the distance traveled on an air plane going at a rate of 650 miles per hour for 2.5 hours ANSWER
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1 Formulas ANSWER 1625 miles Jeopardy
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Solve for n in the formula
2 Formulas Solve for n in the formula ANSWER
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2 Formulas ANSWER Jeopardy
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3 Formulas A = lw What is the width w of a rectangular room that has a length l of 28 feet and an area A of 84 square feet? ANSWER
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3 Formulas ANSWER 3 feet Jeopardy
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4 Formulas The cost of an adult ticket to the movies costs $8 and the cost of a child’s ticket is $6. Let a = the number of adults and c = the number of children. Write an formula representing the total profit p for the movie theater. ANSWER
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4 Formulas ANSWER p=8a + 6c Jeopardy
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5 Formulas Sara recently bought a house. She made a down payment of $10,600 and will make payments of $ each month. Write a formula that gives the total amount p she has paid as a function of the number of months n she has been making her payments. Find the total amount she will pay if she pays the house off in 15 years. ANSWER
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5 Formulas ANSWER a. p = n b. 77,083 Jeopardy
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1 Explicit Formulas If Find ANSWER
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1 Explicit Formulas ANSWER 4096 Jeopardy
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Write the notation for “s sub 4 equals 81”
2 Explicit Formulas Write the notation for “s sub 4 equals 81” ANSWER
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2 Explicit Formulas ANSWER Jeopardy
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3 Consider the sequence t of squares of consecutive positive integers.
Explicit Formulas Consider the sequence t of squares of consecutive positive integers. What is the value of Give an explicit formula for ANSWER
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3 Explicit Formulas ANSWER 16 Jeopardy
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4 Explicit Formulas Which is an explicit formula for the nth term of the sequence 3, 6, 11, 18, 27…? a. b. c. ANSWER
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4 Explicit Formulas ANSWER c Jeopardy
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5 Explicit Formulas At the end of each week at a discount store, the price of all the remaining items is reduced by 10%. So after week n, the price of a $60 jacket is given by Find the price of the jacket after 3 weeks if it remains unsold. ANSWER
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5 Explicit Formulas ANSWER $43.74 Jeopardy
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1 Recursive Formulas The first term is -3; each term after the first is 7 less than the previous term. List the first 3 terms ANSWER
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1 Recursive Formulas ANSWER -3,-10,-17 Jeopardy
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2 Recursive Formulas Represents which term of a sequence? ANSWER
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2 Recursive Formulas ANSWER The previous term Jeopardy
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List the first 4 terms of the recursive formula
3 Recursive Formulas List the first 4 terms of the recursive formula ANSWER
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3 Recursive Formulas ANSWER 3,15,75,375 Jeopardy
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4 Consider the sequence 9,7,5,3….
Recursive Formulas Consider the sequence 9,7,5,3…. Use symbols to write a recursive definition for this sequence. ANSWER
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4 Recursive Formulas ANSWER Jeopardy
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5 Recursive Formulas Debbie has 520 books in her library. Each year she buys 50 new books. Write a recursive formula that gives the number of books in Debbie’s library in year n How many books will she have in her library ten years from now? ANSWER
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5 Recursive Formulas ANSWER a. b books Jeopardy
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