Respuesta :
Answer: [tex](15+x)+7[/tex]
Step-by-step explanation:
The given word phrase : [tex]\text{the sum of 15 and x, plus 7}[/tex]
Since , the operation to show "sum" and "plus" is same as "+" but we put parenthesis around the numbers in which we need to find the sum .
Then, the expression for the given word phrase will be :-
[tex](15+x)+7[/tex]
Hence, the algebraic expression for the sum of 15 and x, plus 7 is [tex](15+x)+7[/tex]
An algebraic expression for the sum of 15 and x, plus 7
[tex]\large{\boxed{\boxed{\bold{(15+x)+7}}}[/tex]
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
- 1. phrases
algebraic forms separated by arithmetic operations
consisting of one phrase (monomial) to many phrases (polynomial)
- 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
- 3. constants
is a fixed value, can be a number
- 4. arithmetic operations
operations [tex]{\displaystyle \boxed{+},\boxed{-},\boxed{:},\boxed{x}}[/tex]
Words that can be used to express arithmetic operations are:
- 1. addition,
- plus
- more than
- sum
- and
- total
- greater than
- increased by
- 2. subtraction,
- minus
- difference
- take away
- subtract
- less than
- decreased by
- less
- 3. multiplication,
- multiply
- product
- double (multiply by 2)
- twice (multiply by 2)
- triple (multiply by 3)
- quadruple (multiply by 4)
- times
- 4. division.
- quotient
- divided by
- ratio
- share
- into
- over
An algebraic expression for the sum of 15 and x, plus 7
- 1. the sum of 15 and x
[tex]\boxed{the\:sum}[/tex] means to use arithmetic [tex]\boxed{+}[/tex] operations
[tex]\boxed{and}[/tex] means the sum of both 15 and x
[tex]\boxed{,}[/tex] means 15 + x is added up first, so we use parentheses
- 2. plus 7
[tex]\boxed{plus}[/tex] means using arithmetic operations [tex]\boxed{+}[/tex]
So Algebraic expression:
[tex]{\displaystyle {(15+x)+7}}[/tex]
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keywords: algebraic expression, constants, variables, arithmetic operations
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