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Multi-step rational number word problems
Multistep-equations-without-variables 256
Description
Exercise Name: Multi-step rational number word problems
Math Missions: 7th grade (U.S.) Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission, Algebra I Math Mission, Mathematics II Math Mission
Types of Problems: 3

The Multi-step rational number word problems exercise appears under the 7th grade (U.S.) Math Mission, Pre-algebra Math Mission, Mathematics I Math Mission, Algebra I Math Mission and Mathematics II Math Mission. This exercise introduces complicated word problems possibly using fractions and negatives

Types of Problems

There are three types of problems in this exercise:

  1. Perform the division conversions needed: This problem describes a situation where a person is trying to make an object that takes a certain amount of time with a certain number of friends. The student is asked to figure out how much time it will take.
    Mrnwp1

    Perform the division conversions needed

  2. Multiply to get the total answer: This problem asks for a total amount of two other quantities that are not necessarily equally weighted. The student is asked to find the total amount needed for the situation.
    Mrnwp2

    Multiply to get the total answer

  3. Taxicab results: This problem provides a many-step problem involving a taxicab. The student is asked to find out how much the trip costs, or how much money will be left after the trip.
    Mrnwp3

    Taxicab results

Strategies

Rational numbers are not really vital to completing this problem, whereas an ability to read math well is likely more valuable.

  1. The general form for the division problem is to take the number of minutes to make the item, multiply by the number of items needed, divide by sixty to find the number of hours, and then divide by the number of people doing the work.
  2. The general form on the taxicab problem is to take the initial fee, then and add the number of units multiplied by the fee per unit, then add the tip. This amount is the total and the amount left would be this number subtracted from the amount the person had to begin with.

Real-life Applications

  1. Taxes are a fraction of the income or the purchase amount, so if you spend or earn money, you're involved with fractions.
  2. If a pizza is shared or a bag of popcorn, each person will get a fraction of it.
  3. Interest rates on loans and mortgages are fractions.
  4. Interest on a savings account is a fraction.
  5. Taxes on gasoline are fractions of the amount purchased.

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