"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**

We hope that the students would have understood the stuff given on "Writing and evaluating expressions"

Apart from the stuff given above, if you want to know more about "Writing and evaluating expressions", please click here.

If you need any other stuff, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**