Exam 1: Problem Solving

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Jane has 17 phone cards worth either $20 or $15. How many of each does he have if the phone cards total $315?

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A

The length of a garden is double its width. There is a fence around the perimeter that measures 180 ft. What are the length and width of the garden?

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C

Estimate the number of people living in the US in 1910. Estimate the number of people living in the US in 1910.

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The manager of an Internet cafe is having new counters custom-made. She wants to put 4 PCs on each counter with 4 feet between the PCs and 3 feet on each end. The PCs measure 18 inches wide and 24 inches high. What length of counters should the Internet cafe have made?

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Estimate the cost to live in an apartment for 1 year if the rent is $319 per month and utilities are $62 per month.

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An item that originally cost $887.99 is on sale for 20% off. Estimate the sale price of the item.

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The demographics of an elementary school are shown below. The school has 504 students. Estimate the number of students who are White Non-Hispanic. The demographics of an elementary school are shown below. The school has 504 students. Estimate the number of students who are White Non-Hispanic.

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Use inductive reasoning to make a conjecture about a rule that relates the original number to the final answer. Try to prove your conjecture using deductive reasoning. Select a number. Add 80. Multiply by 7. Subtract 560. Divide by 7. Subtract the original number.

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Round to the nearest hundred-thousand. 98,521,900

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Write a counter example to show that the statement is false. When any number is multiplied by 5 and the digits of the answer are added, the sum will be divisible by 5.

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For a specific year, the average household income for selected states is shown here. Estimate the difference between the highest and lowest average incomes. For a specific year, the average household income for selected states is shown here. Estimate the difference between the highest and lowest average incomes.

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Bob and Sue are celebrating their 5 th wedding anniversary. Estimate the total cos of their evening based on the prices below: theater \ 59.52 dinner \ 58.79 drinks \ 12.78 taxi \ 13.50

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Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 7 8 10 13 17 22 28

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Write a counter example to show that the statement is false. When an odd number is added to the product of two even numbers, the result will be even.

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Use inductive reasoning to conjecture the rule that relates the number you selected to the final answer. Try to prove your conjecture using deductive reasoning. Select a number: Multiply by 8 : Subtract 24 from the answer: Divide by 8 : Subtract the original number:

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Determine whether the type of reasoning used is inductive or deductive reasoning. If a computer tech says it will cost $125 to fix my computer, it will actually cost $200. Since a computer tech told me it would cost $125 to fix my computer, I can expect it to cost me $200.

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Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence. 6 7 3 4 0 1 -3 -2

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The peak rate of a phone company is 2222 \notin per minute, and the off-peak rate is 12ϕ12 \phi per minute. Find the savings for a 44-minute phone call if it was made during off-peak time as opposed to peak time.

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Round 857,665,735 to the nearest ten-thousand.

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Estimate the total cost of the following meal at a sub shop. sandwich $4.89\$ 4.89 chips $1.24\quad \$ 1.24 soda $0.99\quad \$ 0.99

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