Question

How do you write the mathematical expression for "7 less than twice a number and k"?

Answer 1

Hint: Here we will firstly assume “a number” which is taken in the given statement. Then we will simply breakdown the statement and form the required mathematical expression by using the basic mathematical operations.

Complete Step by Step Solution:
Let “a number” can be taken as \[x\].
Now we will simply take the few portions of the statement and form the mathematical expression accordingly.
Therefore firstly it is given that “twice a number” which means that two times the assumed number. So, the mathematical expression is
\[ 2x\]
Now as it is given that “twice a number and k” which means that k is being added to twice a number. Therefore, the expression becomes
\[ 2x + k\]
Now we will take the whole equation which states that “7 less than twice a number and k" which means that subtraction of 7 from the previous expression. Therefore, we get the expression as
\[ \left( {2x + k} \right) - 7\]
\[ 2x + k - 7\]

Hence the mathematical expression for "7 less than twice a number and k" is written as \[2x + k - 7\].

Note:
Here we have to note that while solving this type of equation we have to use the rule of BODMAS and we should also know the definition of the basic mathematical operations such as addition, subtraction, division and others basic mathematical operations. We know that in mathematics, a mathematical expression is solved according to the BODMAS Rule. We should apply the mathematical operations in a particular order which is given by the letters of BODMAS and letters of BODMAS are defined as
B-Brackets
O-Of
D-Division
M-Multiplication
A-Addition
S-Subtraction