Just like any type of language, math has actually a way to interact ideas. An algebraic expression is a compact means of describing mathematical objects using a combination the numbers, variables (letters), and arithmetic operationsnamely addition, subtraction, multiplication, and also division.

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In other words, the three main materials of algebraic expressions are numbers, variables, and also arithmetic operations.

Numbers or Constants

Examples:1, 6, 8, 27, 32, etc.

Variables or Letters

Examples:x, y, a, h, p, etc.

Arithmetic Operations

Examples:+ (addition), - (subtraction) , \times (multiplication) , ÷ (division)

The complying with are easy examples that can aid you get familiarized with the to work of addition, subtraction, multiplication,and division.


the amount of x and 5 → x+5


the difference of y and 3 → y-3


the product of n and also 2 → 2n


the quotient that k and 7 → \Largek \over 7

Writing Algebraic expressions Step-by-Step examples

Let’s walk over more examples.

Example 1: The sum of twice a number and 3

Answer: Let variable x it is in the unknown number. So twice a number method 2x. The amount (use to add symbol) of double a number and 3 can be created as 2x+3.

Example 2: The distinction of triple a number and also 5

Answer:Let change y it is in the unknown number. So triple a number way 3y. The difference (use minus symbol) that triple a number and also 5 should be written as 3y - 5.

Example 3:The amount of the quotient that m and 2, and also the product that 4 and n.

Answer:In this case, the unknown numbers room already listed as m and also n. That’s one much less thing to worry.

The key is to acknowledge that we are going to add a quotient and also a product.

the quotient the m and 2 is expressed together \Largem \over 2the product that 4 and also n is expressed together 4n

Therefore, the sum of the quotient and product is \Largem \over 2 + 4n.

Example 4: The difference of the productof 7 and also w, and also the quotient of 2 and v.

Answer: In this case, the unknown numbers have been assigned with corresponding variables which are w and also v.

The key is to identify that we are going to subtract the product by the quotient of some expressions.

the product the 7 and w is expressed together 7wthe quotient that 2 and also v is expressed together \Large2 \over v

Therefore, the difference of the product and quotient is 7w - \Large2 \over v.

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Common native or terms to mean Addition, Subtraction, Multiplication, and also Division

Now, let’s go over some usual words or paragraph that describe the 4 arithmetic operations. It is vital that you knowthese indigenous or phrases to be successful in writing or interpreting any type of given algebraic expression.


Math Phrases into Algebraic Expressions

The vital to discovering is to examine a the majority of examples!

a number add to 9y + 9
the amount of a number and also 10m + 10
total that a number and 5b + 5
a number raised by 4x + 4
h take away 2h − 2
2 take far by a number2 − h
a number minus 11k − 11
11 minus a number11 − k
a number reduced by 7y − 7
the difference of n and 25n − 25
the difference of 25 and also n25 − n
5 less than a numberx − 5
x less than the number 55 − x
the product of r and 44r
7 time a number7p
double a number2x
triple a number3x
a number split by 4w / 4
the quotient that w and also 6w / 6
the quotient that 12 and m12 / m
a number separated by 3f / 3
t over 7t / 7
5 right into a numbera / 5
a number into 55 / a
the sum of x and also 7 separated by 2( x + 7 ) / 2
the difference of m and also 3 end 5( m − 3) / 5
11 more than the product the 3 and y3y + 11
6 much less than the quotient of c and also 10( c / 10 ) − 6
3 minus the product the 5 and also a number3 − 5x
the sum of 5 and the quotient that z and also 7( z / 7 ) + 5
the difference of twice a number and also 32m − 3

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