Just like any language, math has a method to connect ideas. One algebraic expression is a compact means of relenten mathematical objects utilizing a combination that numbers, variables (letters), and also arithmetic operationsnamely addition, subtraction, multiplication, and division.

You are watching: 3 times a number in algebraic expression

In various other words, the three main components 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) , imes (multiplication) , ÷ (division)

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


the amount of x and also 5 → x+5


the distinction of y and 3 → y-3


the product that n and also 2 → 2n


the quotient the k and 7 → Largek over 7

Writing Algebraic expressions Step-by-Step examples

Let’s go over more examples.

Example 1: The amount of twice a number and 3

Answer: Let change x be the unknown number. So double a number method 2x. The amount (use to add symbol) of twice a number and also 3 deserve to be composed as 2x+3.

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

Answer:Let variable y it is in the unknown number. So triple a number way 3y. The difference (use minus symbol) of triple a number and 5 have to be composed as 3y - 5.

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

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

The vital is to identify that we room going to add a quotient and a product.

the quotient that m and 2 is expressed together Largem over 2the product of 4 and n is expressed as 4n

Therefore, the amount of the quotient and also product is Largem over 2 + 4n.

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

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

The crucial is to identify that we room going to subtract the product by the quotient of part expressions.

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

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

See more: What Is A Complex Personality Mean, 17 Signs You'Re A Deep And Complex Personality

Common native or state to typical Addition, Subtraction, Multiplication, and Division

Now, let’s walk over some common words or phrases that define the 4 arithmetic operations. The is vital that girlfriend knowthese native or phrases to be successful in composing or interpreting any given algebraic expression.


Math Phrases right into Algebraic Expressions

The an essential to finding out is to examine a lot of examples!

a number to add 9y + 9
the sum of a number and 10m + 10
total the a number and 5b + 5
a number increased by 4x + 4
h take away 2h − 2
2 take away by a number2 − h
a number minus 11k − 11
11 minus a number11 − k
a number diminished by 7y − 7
the difference of n and 25n − 25
the distinction of 25 and n25 − n
5 less than a numberx − 5
x much less than the number 55 − x
the product of r and also 44r
7 times a number7p
double a number2x
triple a number3x
a number separated by 4w / 4
the quotient of w and 6w / 6
the quotient of 12 and m12 / m
a number split 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 an ext than the product the 3 and y3y + 11
6 much less than the quotient that c and also 10( c / 10 ) − 6
3 minus the product of 5 and also a number3 − 5x
the amount of 5 and the quotient that z and also 7( z / 7 ) + 5
the difference of twice a number and also 32m − 3

You might also be interested in: