Answer :
An algebraic expression for 9 more than 2 multiplied by f
[tex]\large{\boxed{\boxed{\bold{(9+2)}\times\:f=11f}}[/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 9 more than 2 multiplied by f
• 1. 9 more than 2
[tex]\boxed{more\:than}[/tex] means to use arithmetic [tex]\boxed{+}[/tex] operations
we translate this sentence into algebraic expression
[tex]\displaystyle 9+2[/tex]
9+ 2 added up first, so we use parentheses
[tex]\displaystyle (9+2)[/tex]
• 2. multiplied by f
[tex]\boxed{multiplied}[/tex] means using arithmetic operations [tex]\boxed{x}[/tex]
So Algebraic expression:
[tex]{\displaystyle {(9+2)\times\:f}}=\boxed{\boxed{\bold{11f}}}[/tex]
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keywords: algebraic expression, constants, variables, arithmetic operations ,more than
