ALGEBRA II Problem Solving – Flashcards
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The rate of Chan's rowing in still water is 8 mph.
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Chan rows at a rate of 8 mph in still water. It takes him three hours to row upstream from his house to the park. He rows back home, and it takes him two hours. What is the speed of the current? Which of the following is a clue that would help solve this word problem?
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What was the regular price of the T-shirt?
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Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also bought a T-shirt that was $8 off its regular price. Before sales tax, the total cost of the clothes was $31. What was the regular price of the T-shirt? What question is being asked in this word problem?
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ANSWER: C
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Six times a number is at least four less than eight times the number. If x represents the number, which will help find the number?
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ANSWER: B
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For a school drama performance, student tickets cost $5 each and adult tickets cost $10 each. The sellers collected $3,570 from 512 tickets sold. If c is the number of student tickets sold, which equation can be used to find the amount of tickets sold of each type?
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ANSWER: A
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Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number?
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ANSWER: A
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A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current?
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$6
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Twelve friends came to Guy's birthday party. He received seven gifts and a total of $95 in cash for his birthday. He buys an airplane model kit for $9, and he wants to donate $8 to each of several local animal shelters. How much money will he have left if he donates to as many animal shelters as possible?
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19 Beads
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Sorrel has 54 beads. She has 16 red beads, and the rest are half yellow and half green. How many yellow beads does she have?
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200 adult tickets; 100 student tickets
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For the school concert band performance, student tickets cost $8 each and adult tickets cost $12 each. The sellers collected $3,200 from 300 tickets sold. How many adult tickets and student tickets were sold?
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The number is at most negative four-fifths.
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If three times a number is at least four more than eight times the number, which of the following is true?
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9
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Two times a number plus four is 22. What is the number?
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42
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One-third of a number, decreased by six equals eight. What is the number?
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Check that the sum of the final answer, 12, and 15 is 55.
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Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have? A student solves this problem by writing an equation. Which strategy could help check the student's answer?
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52 mph; 64 mph
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Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After 2 hours, they are 232 miles apart. What is the speed of each car?
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ANSWER: D
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The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle, which equation can be used to find its value?
