Question

Which expression shows “7 more than triple a number”?

Answer 1

Hint: An algebraic expression is a mathematical phrase that contains a combination of numbers, variables and operational symbols. A variable is a letter that can represent one or more numbers.
Here a number more than a number means adding the first number with the second number, and triple of a number means 3 times a number and adding the two numbers we will get the required phrase.

Complete step-by-step solution:
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Given statement is,
7 more than triple a number
The key word to note is 'more than'. A number more than a number means adding the first number with the second number i.e., it is an answer to an addition operation.
For example: 5 more than 4 means \[5 + 4 = 9\], so, 9 is the sum.
In this question we make use of algebraic concepts, and the more than means the same as algebraic addition.
Here, it is given the number is tripled, it means that number is three times a number,
For example: 2 is tripled means \[2 \times 2 \times 2 = 3\left( 2 \right) = 6\],
Let the number be \[x\],
So, the triple of number \[x\] means \[3 \times x = 3x\],
Now It is given 7 more than the triple of a number means \[7 + 3x\].
So, the expression will be equal to \[7 + 3x\].

The math expression for the phrase given: 7 more than triple a number is given by \[7 + 3x\] .

Note: To write an expression, we often have to interpret a written phrase. For example, the phrase “6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.
Some examples of common phrases and corresponding expressions that involve the operations are:

Phrase	Expression
8 more than some number	p + 8
2 minus some number	x-2
The product of a number and 4	4t
the quotient of a number and 12	\[\dfrac{y}{{12}}\]