"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.

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.

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"**

**Answer :**

**5x + 8**

**Let us look at the next question on "**Writing expressions**"**

**Question 2 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

**2(7x + 4)**

**Let us look at the next question on "**Writing expressions**"**

**Question 3 :**

Write the given verbal phrase into mathematical expression

**"7 less than 4 times a number"**

**Answer :**

**4x - 7**

**Let us look at the next question on "Writing expressions"**

**Question 4 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

**( 3x + 9 ) / 5**

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

**Question 5 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

**( 4x - 3 ) / 7**

**Let us look at the next question on "Writing expressions"**

**Question 6 :**

Write the given verbal phrase into mathematical expression

**"5 times of a number is decreased by 8"**

**Answer :**

**5x - 8**

**Let us look at the next question on "Writing expressions"**

**Question 7 :**

Write the given verbal phrase into mathematical expression

**"6 times of a number is increased by 15"**

**Answer :**

**6x - 15**

**Let us look at the next question on "Writing expressions"**

**Question 8 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

**3(x + 6) - 7**

**Let us look at the next question on "Writing expressions"**

**Question 9 :**

Write the given verbal phrase into mathematical expression

**"3 times the difference between a number and 8"**

**Answer :**

**3(x - 8)**

**Let us look at the next question on "Writing expressions"**

**Question 10 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

**3(x - 6) / 4**

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**

**Answer :**

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

3(3) + 2(5) = 9 + 10 = **19**

**Hence, the answer is 19**

Let us look at the next question on "Writing and evaluating expressions"

**Question 2 :**

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

**m****²**** + 2mn****²**

**Answer :**

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

5² + 2(5)(2)² = 25 + 40 = **65**

**Hence, the answer is 65**

**Let us look at the next question on "Writing and evaluating expressions"**

**Question 3 :**

Evaluate the given expression for s = 5.

**s****²**** + 7s - 2**

**Answer :**

Plug s = 5 in the given expression

5² + 7(5) - 2 = 25 + 35 - 2 = **58**

**Hence, the answer is 58**

Let us look at the next question on "Writing and evaluating expressions"

**Question 4 :**

Evaluate the given expression for m = 1/3.

**18m****²**** + 3m + 7**

**Answer :**

Plug m = 1/3 in the given expression

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

**Hence, the answer is 10**

**Let us look at the next question on "Writing and evaluating expressions"**

**Question 5 :**

Evaluate the given expression for m = 13.

**m****²**** + m - 54**

**Answer :**

Plug m = 13 in the given expression

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

**Hence, the answer is 128**

**Let us look at the next question on "Writing and evaluating expressions"**

**Question 6 :**

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

**x² + y****²**

**Answer :**

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

3² + 5² = 9 + 25 = **34**

**Hence, the answer is 34**

**Let us look at the next question on "Writing and evaluating expressions"**

**Question 7 :**

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

**5m****²**** + 2m****²n**

**Answer :**

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

5(5)² + 2(5)²(2) = 125 + 100 = **22****5**

**Hence, the answer is 225**

**Let us look at the next question on "Writing and evaluating expressions"**

**Question 8 :**

Evaluate the given expression for s = 6.

**s****²**** -3s + 10**

**Answer :**

Plug s = 6 in the given expression

6² - 3(6) + 10 = 36 - 18 + 10 = 28

**Hence, the answer is 28**

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

**Question 9 :**

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

**x² - 3y****²**

**Answer :**

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

2² + 3(-5)² = 4 + 75 = **79**

**Hence, the answer is 79**

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

**Question 10 :**

Evaluate the given expression for m = 3.

**(2m****²**** + 5m - 7) / 2**

**Answer :**

Plug m = 3 in the given expression

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

**Hence, the answer is 13**

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