Math Basics: Integers and Unit Rates
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Math Basics: Integers and Unit Rates

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Questions and Answers

What is the unit rate for the cost per bar if you buy 3 bars but only pay for 2?

  • 20 PLN per bar (correct)
  • 33 PLN per bar
  • 22 PLN per bar
  • 30 PLN per bar
  • If a store sells a pack of 6 bars for 66 PLN, what is the cost per bar?

  • 10 PLN per bar
  • 11 PLN per bar (correct)
  • 15 PLN per bar
  • 12 PLN per bar
  • How long would it take 7 people to build 7 models if 5 people take 20 minutes for 5 models?

  • 40 minutes
  • 10 minutes
  • 30 minutes
  • 20 minutes (correct)
  • Given the water tank's initial measurement and changes over 5 days, what is the rate of change from July 1 to July 6?

    <p>125 L per day</p> Signup and view all the answers

    Using the information on water tank levels, how much water is left on July 4 if the tank decreases at the same rate?

    <p>3500 L</p> Signup and view all the answers

    What is the correct order from least to greatest of the following integers: 4, -12, -208, 190, -250?

    <p>-250, -208, -12, 4, 190</p> Signup and view all the answers

    Which integer correctly represents the temperature after 5 hours if it started at -5℃ and warmed up 2℃ each hour?

    <p>10℃</p> Signup and view all the answers

    What is the result of the operation $-5 + 3 \times -2$?

    <p>-11</p> Signup and view all the answers

    How much money would be left after buying a TV for 80 dollars with 15 dollars in the bank?

    <p>-65 dollars</p> Signup and view all the answers

    What is the unit rate (cost per soda) if a 6-pack of soda costs 24 zl?

    <p>4 zl per soda</p> Signup and view all the answers

    What is the result of $-10 - (-3)$?

    <p>-7</p> Signup and view all the answers

    After descending from 6000m above sea level at 400m an hour for 5 hours, how high above sea level am I?

    <p>4000m</p> Signup and view all the answers

    What is the result of the calculation $4 - (-6)$?

    <p>10</p> Signup and view all the answers

    Study Notes

    Ordering Integers

    • Place integers on a number line with negative numbers on the left and positive numbers on the right.
    • The further to the right on the number line the greater the integer.

    Integer Operations

    • When adding integers, if the signs are the same, add the numbers and keep the sign.
    • When adding integers, if the signs are different, subtract the smaller number from the larger number and keep the sign of the larger number.
    • When subtracting integers, change the sign of the second integer and then follow the rules for addition.
    • When multiplying integers, if the signs are the same, the product is positive.
    • When multiplying integers, if the signs are different, the product is negative.
    • When dividing integers, follow the same sign rules as multiplication.

    Unit Rates

    • A unit rate is a ratio that compares a quantity to one unit of another quantity.
    • To find a unit rate, divide the quantity by the number of units.

    Tables and Graphs

    • A table can be used to organize data and find patterns.
    • A graph can be used to visualize data and relationships.
    • Rates of change can be found from graphs and tables by calculating the change in output divided by the change in input.

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    Description

    Test your knowledge on ordering integers, performing operations, understanding unit rates, and interpreting tables and graphs. This quiz will help reinforce essential math concepts for students.

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