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.

Addition

the amount of x and 5 → x+5

Subtraction

the distinction of y and also 3 → y-3

Multiplication

the product the n and also 2 → 2n

Division

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.

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Math Phrases right into Algebraic Expressions

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

MATH PHRASESALGEBRAIC EXPRESSIONS
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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