Number Patterns

Darren drank 3 glasses of water every day for 6 days. Each glass contained 12 fl oz of water. Which equation represents w, the total amount of water in fluid ounces that Darren drank during these 6 days?

• 3 + 6 + 12 = w

• 12 x 6 = w

• 3 x 6 x 12 = w

• 3 x 12 ÷ 6 = w

A number pattern begins with these values. 6, 12, 18, 24,... Which table correctly represents the relationship between the position of a number in the pattern and the value of that number?

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The table shows a relationship between the input numbers and the output numbers generated by a number machine.

Which number machine shows the same relationship as the one shown in the table?

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A business earned $96 for one job and $78 for a second job. The money was divided equally among the 3 partners who own the business. Which strip diagram represents m, the amount of money each partner received?

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Alexa had a total of 36 bottles of water. She drank half of the bottles of water

last week. Alexa will drink the remaining water bottles during the next 6

days. She will drink the same number of bottles each day.

Which strip diagram shows a way to find w, the number of water bottles Alexa will drink during each of the next 6 days?

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Each Saturday Mr. Franklin teaches 3 piano lessons at his music school and

4 piano lessons in students’ homes.

-For each lesson at his music school, he charges $15.

-For each lesson in a student’s home, he charges $20.

Which set of equations can be used to find m, the amount of money in dollars Mr. Franklin earns from piano lessons each Saturday?

• 15 × 4 = 60

  20 × 3 = 60

  60 + 60 = m

• 15 ÷ 3 = 5

  20 ÷ 4 = 5

  5 + 5 = m

• 15 × 3 = 45

  20 × 4 = 80

  80 − 45 = m

• 15 × 3 = 45

  20 × 4 = 80

  45 + 80 = m

Which rule shows how to find the value when given the position?

• × 33

• − 32

• ÷ 33

• + 32

It took Ian three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7,639 cans. Which equation can be used to find x, the number of cans Ian collected in the third year?

• x = 25,413 - 8,917 - 7,639

• x = 25,413 + 8,917 + 7,639

• x = 8,917 + 7,639

• x = 8,917 - 7,639

The rule +38 is used to show the relationship between the position of a number in a pattern and the value of that number. Which table shows this relationship?

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A factory makes 400 refrigerators every day. The factory makes 125 more stoves per day than refrigerators. Which equation can be used to find x, the total number of refrigerators and stoves the factory makes in one day?

• x = 400 + 400 + 125

• x = 400 + 125

• x = 400 + 400 125

• x = 400 – 125