What is half of Frac 70 70

Set up terms

In this article I would like to use a few examples to show how to convert (verbal) descriptions into the corresponding Terms.

Let's start with four very simple examples based on the terms total, difference, product and quotient:

descriptionterm
Sum of x and 11x + 11
Difference between 7 and a7 - a
Product of 3.1 and a3.1 ⋅ a
Quotient of x and 5x: 5 or

One extends this procedure by using terms like double of ... or The half of … you can also transform the following descriptions into terms:

descriptionterm
3 times x, reduced by 23x - 2
3 times the difference x - 53 (x - 5)
Half of a, increased by 3 a + 3
Half of the sum x + 4 (x + 4)
Four times the sum x + 64 (x + 6)
The double of a, increased by 102a + 10

After these basic examples we try to combine / nest such descriptions or terms:

descriptionterm
The product of the sum of x and 1 and the difference between 12 and a(x + 1) ⋅ (12 - a)
Half of 3 times the sum of x and the 5th part of the difference between a and 2

Now two examples, in which the setting up of terms in a Word problem occurs:

Mr. Schubert pays a basic fee of € 60 for a rental car and € 15 for every kilometer driven. Write the costs for x km as a term.

Solution: 60 € + 0.15⋅x €

For a taxi ride, Ms. Bauer pays € 0.75 for every kilometer driven and a basic fee of € 1.70. Write a term for a x km trip and calculate the costs for a 15 km trip.

Solution: 1.70 € + 0.75⋅x €
                1,70 € + 0,75⋅15 € = 1,70 € + 11,25 € = 12,95 €

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Tags: class 7 term