Question

How do you write the word phrase for each algebraic expression: $16g + 12?$

Answer 1

Hint:There are two operations that have been done in this expression, which are addition and multiplication, use English words to describe these operations and write the whole expression in word phrases.

Complete step by step solution:
In this given algebraic expression $16g + 12$, there are two operations have been used or performed which are addition and multiplication, we can express these operations in many ways as following

“a” is increased by “b” for the algebraic expression: $a + b$
“a” plus “b” again for the same algebraic expression: $a + b$
These are some examples of word phrases for additional operations.

Now let us see some word phrases for operation of multiplication
“b” times a number “a” which expresses the algebraic expression: $b \times a$
Product of “a” and “b” also expresses the same algebraic expression: $a \times b$

Now using some English and the above word phrases of additional and multiplication operation to
express the word phrase of the given algebraic expression $16g + 12$
“16” times “g” is increased by “12”
“12” is added to the product of “16” and “g”
“16” times “g” plus “12”

Note: In addition and multiplication operation type algebraic expressions you can write the word phrase in a vice versa manner but in case of division and subtraction operation, you cannot write them in vice versa manner because that will affect the final result. Let us understand this with an example $a + b$ can be written as “a” plus “b” as well as “b” plus “a”, it will not affect the result Writing $a - b$ as “a” minus “b” is correct form but we cannot write it as “b” minus “a” it will change the result.