Exam 1: An Introduction to Problem Solving

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Solve the problem. -The population of a town was 33,100 at the beginning of 1970. If the population decreased 300 people per year, how many people lived in the town at the beginning of 1985?

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Solve the problem. -How many different amounts of money can you pay if you use four coins including quarters, nickels, and dimes?

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Solve the problem. -How many different ways can you make change for 75 cents using quarters, dimes, and nickels?

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Solve the problem. -Alamo, Brushy, Chet, and Dolly are in an armadillo race. Chet is the slowest. Dolly is faster than Alamo, but slower than Brushy. Name the finishing order of the armadillos.

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Complete the magic (addition)square. -Use each number 16, 17, 18, 19, 20, 21, 22, 23, and 24 once. 19 18 20 23 16 21

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Solve the problem. -A rose garden has 16 bushes in one row, 13 bushes in the next row, then 10 , and so on. If there are 51 bushes in the garden, in how many rows are they planted?

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Determine how many of the indicated shape there are in the figure. -Cubes (of any size) Determine how many of the indicated shape there are in the figure. -Cubes (of any size)

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Solve the problem. -How many different amounts of money can you pay if you use three coins including nickels, dimes, and quarters?

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Find the requested term in the sequence. -The next term in 3,12,48,192,768,3,12,48,192,768 , \ldots

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the following sum: 6 + 20 + 34 + . . . + 986

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Find the requested term in the sequence. -The 15 th term in 6,18,54,1832,1833,6,18,54,18 \cdot 3 ^ { 2 } , 18 \cdot 3 ^ { 3 } , \ldots

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Provide an appropriate response. -The following sequence is made of black circles. How many circles are needed for the 10th figure? The 15th figure? Provide an appropriate response. -The following sequence is made of black circles. How many circles are needed for the 10th figure? The 15th figure?

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Find the number of terms in the sequence or the sum of the sequence as requested. -Find the following sum: 19 + 27 + 35 + . . . + 195

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Solve the problem. -How many different amounts of money can you pay if you use four coins including dimes and quarters?

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Provide an appropriate response. -In the following sequence, the figures are made of cubes that are glued together. If the exposed surface is to be painted, then how many squares will be painted in the 10th figure? Provide an appropriate response. -In the following sequence, the figures are made of cubes that are glued together. If the exposed surface is to be painted, then how many squares will be painted in the 10th figure?

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Find the first five terms in the sequence whose nth term is given. - 4n+54 n + 5

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Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure. Provide an appropriate response. -Look for a pattern in the sequence of figures shown below, and use your reasoning to draw the next figure.

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Provide an appropriate response. -Look for a pattern in the sequence of figures shown below. How many triangles are needed for the 4th figure? The nth figure? Provide an appropriate response. -Look for a pattern in the sequence of figures shown below. How many triangles are needed for the 4th figure? The nth figure?

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Provide an appropriate response. -Look for a pattern in the sequence of figures shown below. How many squares are needed for the 4th figure? The nth figure? Provide an appropriate response. -Look for a pattern in the sequence of figures shown below. How many squares are needed for the 4th figure? The nth figure?

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Find the requested term in the sequence. -The 10th term in 20, 20.2, 20.4, 20.8, 20.16, . . .

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