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IM: 8.4.1: Number Puzzles (Practice)

Last updated 9 months ago
11 questions
1

Tyler reads 2/15 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?

1

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?

1

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.

1

Select all of the given points in the coordinate plane that lie on the graph of the linear equation 4x - y = 3.

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 (so 0 nested carts means there's just the starting cart). 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.
1

Create a graph of the situation.

1

How much does each nested cart add to the length of the row? Explain your reasoning.

1

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

Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.
1

Find three combinations of x and y that make this sentence true.

1

Write an equation relating x and y.

1

If you were to sketch the graph of this linear equation, what would its slope be? How can you interpret the slope in the context of the triangle?

1

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.