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

You are watching: The difference of twice a number and 7 is 9

In various other words, the 3 main components of algebraic expressions space 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 following are easy instances that can aid you acquire familiarized through the to work of addition, subtraction, multiplication,and division.


the amount of x and 5 → x+5


the distinction of y and also 3 → y-3


the product the n and also 2 → 2n


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

Writing Algebraic expressions Step-by-Step instances

Let’s walk over an ext examples.

Example 1: The amount of twice a number and also 3

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

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

Answer:Let variable y be the unknown number. Therefore triple a number method 3y. The difference (use minus symbol) the triple a number and also 5 have to be created as 3y - 5.

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

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

The crucial is to acknowledge that we room going to add a quotient and also a product.

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

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

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

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

The crucial is to acknowledge that we room going come subtract the product by the quotient of some expressions.

the product of 7 and also w is expressed as 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 3 Out Of 25 Is What Percent Of 25? 3% Of 25 Percentage Conversion

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

Now, let’s walk over some typical words or phrases that define the 4 arithmetic operations. The is vital that friend knowthese indigenous or phrases come be effective in writing or interpreting any given algebraic expression.


Math Phrases right into Algebraic Expressions

The vital to finding out is to study a many examples!

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

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