Exam 5: Solving for the Unknown: a How-To Approach for Solving Equations

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In word problems, the word "of" indicates an equal sign.

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P + 77 = 101; P equals:

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No number in front of a letter is really a 1.

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Belts cost $160 per carton, and shoes cost $465 per carton. If an order comes in for a total of 88 cartons for $19,265, what is the number of cartons of belts? (Hint: Let S = cartons of belts)

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N/8 + 6 = 58; N equals:

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In Johnson Corporation, the first shift produced 8 1/2 times as many light bulbs as the second shift. If the total light bulbs produced were 24,700, how many light bulbs were produced on shift 2?

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American Airlines reduced its round trip fare from Boston to New York by $45. The sale price was $139. What was the original price?

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More than one unknown in a word problem can be represented in terms of the same variable assigned to first unknown.

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If there are two unknowns, the variable is always assigned to the larger value.

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At Shaw's Market, apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint: Let A = cases of apples.)

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Melons cost $20 per crate, and apples cost $8 per crate. An order comes in for a total of 48 crates for $420. What was the number of crates of melons and apples? (Let crates of melons = M.)

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At Miduale Electronics, the first shift produced 6 times as many items as the second shift. If total production was 4,900, what was the output for each shift?

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4 + 3 = 9 is an equation of equality.

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B/8 = 90; B equals:

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B + 8 = 9; B = 17.

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Erasers cost $5 per carton, and pencils cost $7 per carton. If an order comes in for a total of 15 cartons for $85, what number of cartons of each was bought? (Hint: Let cartons of pencils = P.) A. 5 Cartons of pencils B. 10 Cartons of erasers

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Variables can only be numbers.

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Brian Smith sells sets of movie posters ($12) and baseball cards ($8) at a local flea market. Last Sunday, Brian's total sales were $840. People bought 4 times as many movie posters as baseball cards. How many of each did Brian sell? Check your answer.

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5(Z + 60) = 900; Z = 120.

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Whatever you do to one side of an equation, you must do to the other.

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