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Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 1

Last updated 11 months ago

6 questions

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Question 1

1.

Tyler reads \frac{2}{15} of a book on Monday, \frac{1}{3} of it on Tuesday, \frac{2}{9} of it on Wednesday, and \frac{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?

Question 2

2.

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?

Question 3

3.

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?

Question 4

4.

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

(0, 3)

(\frac{3}{4}, 0)

(2,5)

(-1, -7)

(1,1)

(4, -1)

Question 5

5.

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.

Create a graph of the situation.(Show your work)

How much does each nested cart add to the length of the row?(Short Answer)

Question 6

6.

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.

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

"Source: Open Up Resouces (Download for free at openupresources.org.)"