Grade 8 | Unit 4 | Lesson 1: Number Puzzles | Practice Problems

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CCSS.7.NS.A.3

Clare asks Andre to play the following number puzzle: Pick a number, add 2, multiply by 3, subtract 7, add your original number. Andre’s final result is 27. Which number did he start with?

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CCSS.8.EE.C.7B

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning.

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CCSS.8.EE.C.7B

A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts. The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long. Create a graph of the situation. How much does each nested cart add to the length of the row? Explain your reasoning.

If the store design allows for 43 feet for each row, how many total carts fit in a row?

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CCSS.4.MD.A.2

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CCSS.8.G.A.5

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CCSS.8.EE.B.5

Consider the following graphs of linear equations. Decide which line has a positive slope, and which has a negative slope. Then calculate each line’s exact slope.

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CCSS.8.EE.B.5