# WRITING AND EVALUATING EXPRESSIONS

## About "Writing and evaluating expressions"

"Writing and evaluating expressions" is one of the important basic stuff of algebra in math.

Students who would like to learn solving word problems in math must study this basic stuff.

## Writing expressions for the given verbal phrases

Let us see, how to write verbal phrase into expressions.

If there is any unknown value, in the given verbal phrase, replace it by some English alphabet.

## Writing expressions - Practice questions

To have better understanding on "writing expressions", let us look at some practice questions.

Question 1 :

Write the given verbal phrase into mathematical expression

"The sum of 5 times a number and 8"

5x + 8

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Question 2 :

Write the given verbal phrase into mathematical expression

"2 times the sum of 7 times a number and 4"

2(7x + 4)

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Question 3 :

Write the given verbal phrase into mathematical expression

"7 less than 4 times a number"

4x - 7

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Question 4 :

Write the given verbal phrase into mathematical expression

"One fifth of sum of 3 times a number and 9"

( 3x + 9 ) / 5

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Question 5 :

Write the given verbal phrase into mathematical expression

"One seventh of 3 less than 4 times a number"

( 4x - 3 ) / 7

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Question 6 :

Write the given verbal phrase into mathematical expression

"5 times of a number is decreased by 8"

5x - 8

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Question 7 :

Write the given verbal phrase into mathematical expression

"6 times of a number is increased by 15"

6x - 15

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Question 8 :

Write the given verbal phrase into mathematical expression

"7 less than 3 times the sum of a number and 6"

3(x + 6) - 7

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Question 9 :

Write the given verbal phrase into mathematical expression

"3 times the difference between a number and 8"

3(x - 8)

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Question 10 :

Write the given verbal phrase into mathematical expression

"One fourth of 3 times the difference between a number and 6"

3(x - 6) / 4

## Evaluating expressions - Practice questions

To have better understanding on "evaluating expressions", let us look at some practice questions.

Question 1 :

Evaluate the given expression for x = 3  and y = 5.

3x + 2y

Plug x = 3 and y = 5 in the given expression

3(3) + 2(5)  =  9 + 10  =  19

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Question 2 :

Evaluate the given expression for m = 5  and n = 2.

m² + 2mn²

Plug m = 5 and n = 2 in the given expression

5² + 2(5)(2)²  =  25 + 40  =  65

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Question 3 :

Evaluate the given expression for s = 5.

s² + 7s - 2

Plug s = 5 in the given expression

5² + 7(5) - 2  =  25 + 35 - 2  =  58

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Question 4 :

Evaluate the given expression for m = 1/3.

18m² + 3m + 7

Plug m = 1/3 in the given expression

18(1/3)² + 3(1/3) + 7  =  2 + 1 + 7  =  10

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Question 5 :

Evaluate the given expression for m = 13.

m² + m - 54

Plug m = 13 in the given expression

13² + 13 -54  =  169 + 13 - 54  =  128

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Question 6 :

Evaluate the given expression for x = 3  and y = 5.

x² + y²

Plug x = 3 and y = 5 in the given expression

3² + 5²  =  9 + 25  =  34

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Question 7 :

Evaluate the given expression for m = 5  and n = 2.

5m² + 2m²n

Plug m = 5 and n = 2 in the given expression

5(5)² + 2(5)²(2)  =  125 + 100  =  225

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Question 8 :

Evaluate the given expression for s = 6.

s² -3s + 10

Plug s = 6 in the given expression

6² - 3(6) + 10  =  36 - 18 + 10  =  28

Let us look at the next question on "Evaluating expressions"

Question 9 :

Evaluate the given expression for x = 2  and y = -5.

x² - 3y²

Plug x = 2 and y = -5 in the given expression

2² + 3(-5)²  =  4 + 75  =  79

Let us look at the next question on "Evaluating expressions"

Question 10 :

Evaluate the given expression for m = 3.

(2m² + 5m - 7) / 2

Plug m = 3 in the given expression

[2(3)² + 5(3) - 7] / 2  =  [18 + 15 - 7 ] / 2  =  26 / 2  =  13

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