Write a word problem about collecting to represent this equation: 5 + 6x = 21 + 4x

Question:

Write a word problem about collecting to represent this equation:

5 + 6x = 21 + 4x

Sentence to Equation:

We can translate a sentence into an equation by using algebraic operations. Here, we use + for "more than", - for "less than, multiplication for "times" etc.

Answer and Explanation:

The given equation is,

$$5 + 6x = 21 + 4x $$

Here {eq}x {/eq} is a number.

Then we can describe the expression {eq}5+6x {/eq} as "{eq}5 {/eq} more than {eq}6 {/eq} times a number".

Similarly, we can describe the expression {eq}21+4x {/eq} as "{eq}21 {/eq} more than {eq}4 {/eq} times a number".

There is an "equal to" sign in between these two expressions.

So the corresponding word problem can be"

{eq}\color{blue}{\boxed{\mathbf{ \text{ 5 more than 6 times a number is equal to 21 more than 4 times the number. Then what is the number?}}}} {/eq}


Learn more about this topic:

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Solving Word Problems with Algebraic Addition Expressions

from 6th-8th Grade Math: Practice & Review

Chapter 32 / Lesson 8
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