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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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