Critical Thinking Write two different algebraic expressions for the word phrase “(1/4) of the sum of x and 7”

Solution:

Given, the word phrase is “(1/4) of the sum of x and 7”

We have to write two different algebraic expressions for the word phrase

Sum of x and 7 = (x + 7)

First expression = (1/4)(x + 7)

We know that addition is commutative.

So, sum of x and 7 can also be written as (7 + x)

Second expression = (1/4)(7 + x)

Therefore, the required expressions are (1/4)(x + 7) and (1/4)(7 + x)

✦ Try This: Critical Thinking Write two different algebraic expressions for the word phrase “(1/3) of the sum of y and 9.”

Given, the word phrase is “(1/3) of the sum of y and 9”

We have to write two different algebraic expressions for the word phrase

Sum of y and 9 = (y + 9)

First expression = (1/3)(y + 9)

We know that addition is commutative.

So, sum of y and 9 can also be written as (9 + y)

Second expression = (1/3)(9 + y)

Therefore, the required expressions are (1/3)(y + 9) and (1/3)(9 + y)

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12

NCERT Exemplar Class 7 Maths Chapter 10 Problem 95 (i)

Critical Thinking Write two different algebraic expressions for the word phrase “(1/4) of the sum of x and 7”

Summary:

The two different algebraic expressions for the word phrase “(1/4) of the sum of x and 7” are (1/4)(x + 7) and (1/4)(7 + x)

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