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

You are watching: 9 less than the quotient of n and 5

In various other words, the 3 main components of algebraic expressions room numbers, variables, and 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 acquire familiarized through the operations of addition, subtraction, multiplication,and division.

the amount of x and 5 → x+5

Subtraction

the difference of y and also 3 → y-3

Multiplication

the product of n and also 2 → 2n

Division

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

## Writing Algebraic expressions Step-by-Step examples

Let’s go over more examples.

Example 1: The sum of double a number and 3

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

Example 2: The difference of triple a number and 5

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

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

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

The vital is to recognize that we are going come add a quotient and a product.

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

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

The an essential is to acknowledge that we are going to subtract the product by the quotient of part expressions.

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

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

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## Common words or terms to average Addition, Subtraction, Multiplication, and also Division

Now, let’s walk over some common words or phrases that describe the four arithmetic operations. It is an important that friend knowthese native or phrases to be successful in writing or interpreting any type of given algebraic expression.    ## Math Phrases into Algebraic Expressions

The an essential to discovering is to research a the majority of examples!

 MATH PHRASES ALGEBRAIC EXPRESSIONS a number add to 9 y + 9 the sum of a number and also 10 m + 10 total that a number and also 5 b + 5 a number enhanced by 4 x + 4 h take away 2 h − 2 2 take away by a number 2 − h a number minus 11 k − 11 11 minus a number 11 − k a number diminished by 7 y − 7 the difference of n and also 25 n − 25 the difference of 25 and also n 25 − n 5 much less than a number x − 5 x much less than the number 5 5 − x the product that r and 4 4r 7 time a number 7p double a number 2x triple a number 3x a number split by 4 w / 4 the quotient the w and also 6 w / 6 the quotient that 12 and also m 12 / m a number divided by 3 f / 3 t end 7 t / 7 5 into a number a / 5 a number right into 5 5 / a the sum of x and also 7 separated by 2 ( x + 7 ) / 2 the difference of m and also 3 over 5 ( m − 3) / 5 11 more than the product of 3 and y 3y + 11 6 less than the quotient of c and 10 ( c / 10 ) − 6 3 minus the product of 5 and also a number 3 − 5x the sum of 5 and also the quotient the z and also 7 ( z / 7 ) + 5 the difference of twice a number and also 3 2m − 3

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