Translate into an expression. t multiplied by the sum of x and 2y is divided by 4y

Question:

Translate into an expression.

{eq}t {/eq} multiplied by the sum of {eq}x {/eq} and {eq}2y {/eq} is divided by {eq}4y {/eq}

Sentence to Expression:

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

Answer and Explanation:

The given expression is, "{eq}t {/eq} multiplied by the sum of {eq}x {/eq} and {eq}2y {/eq} is divided by {eq}4y {/eq}".

Here, " the sum of {eq}x {/eq} and {eq}2y {/eq}" is {eq}x+2y {/eq}.

So the above sentence translates to "{eq}t {/eq} multiplied by {eq}(x+2y) {/eq} is divided by {eq}4y {/eq}".

Here, "{eq}t {/eq} multiplied by {eq}(x+2y) {/eq}" can be written as {eq}t(2x+y) {/eq}.

So the above sentence translates to "{eq}t(2x+y) {/eq} is divided by {eq}4y {/eq}".

So this sentence can be finally written as the fraction {eq}\boxed{\mathbf{\dfrac{t(x+2y)}{4y}}} {/eq}.


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Translating Words to Algebraic Expressions

from Algebra I: High School

Chapter 8 / Lesson 17
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