**Writing and Evaluating Expressions Worksheet :**

Worksheet given in this section will be much useful for the students who would like to practice problems on writing and evaluating expressions.

Before look at the worksheet, if you would like to learn how to write and evaluate expressions,

**Question 1 :**

Write the given verbal phrase into mathematical expression

"The sum of 5 times a number and 8"

**Question 2 :**

Write the given verbal phrase into mathematical expression

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

**Question 3 :**

Write the given verbal phrase into mathematical expression

"7 less than 4 times a number"

**Question 4 :**

Write the given verbal phrase into mathematical expression

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

**Question 5 :**

Write the given verbal phrase into mathematical expression

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

**Question 6 :**

Write the given verbal phrase into mathematical expression

"5 times of a number is decreased by 8"

**Question 7 :**

Write the given verbal phrase into mathematical expression

"6 times of a number is increased by 15"

**Question 9 :**

Write the given verbal phrase into mathematical expression

"3 times the difference between a number and 8"

**Question 10 :**

Write the given verbal phrase into mathematical expression

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

**Question 11 :**

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

3x + 2y

**Question 12 :**

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

m^{2} + 2mn^{2}

**Question 13 :**

Evaluate the given expression for s = 5.

s^{2} + 7s - 2

**Question 14 :**

Evaluate the given expression for m = 1/3.

18m^{2} + 3m + 7

**Question 15 :**

Evaluate the given expression for m = 13.

m^{2} + m - 54

**Question 16 :**

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

x^{2} + y^{2}

**Question 17 :**

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

5m^{2} + 2m^{2}n

**Question 18 :**

Evaluate the given expression for s = 6.

s^{2} - 3s + 10

**Question 19 :**

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

x^{2} - 3y^{2}

**Question 20 :**

Evaluate the given expression for m = 3.

(2m^{2} + 5m - 7) / 2

**Question 1 :**

Write the given verbal phrase into mathematical expression

"The sum of 5 times a number and 8"

**Answer :**

5x + 8

**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)

**Question 3 :**

Write the given verbal phrase into mathematical expression

"7 less than 4 times a number"

**Answer :**

4x - 7

**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

**Question 5 :**

Write the given verbal phrase into mathematical expression

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

**Answer :**

(4x - 3) / 7

**Question 6 :**

Write the given verbal phrase into mathematical expression

"5 times of a number is decreased by 8"

**Answer :**

5x - 8

**Question 7 :**

Write the given verbal phrase into mathematical expression

"6 times of a number is increased by 15"

**Answer :**

6x + 15

**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

**Question 9 :**

Write the given verbal phrase into mathematical expression

"3 times the difference between a number and 8"

**Answer :**

3(x - 8)

**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

**Question 11 :**

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

3x + 2y

**Answer :**

Substitute 3 for x and 5 for y into the given expression.

3x + 2y = 3(3) + 2(5)

3x + 2y = 9 + 10

3x + 2y = 19

**Question 12 :**

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

m^{2} + 2mn^{2}

**Answer :**

Substitute 5 for m and 2 for n into the given expression.

m^{2} + 2mn^{2 }= 5^{2} + 2(5)(2)^{2}

m^{2} + 2mn^{2 }= 25 + 40

m^{2} + 2mn^{2 }= 65

**Question 13 :**

Evaluate the given expression for s = 5.

s^{2} + 7s - 2

**Answer :**

Substitute 5 for s into the given expression.

s^{2} + 7s - 2 = 5^{2} + 7(5) - 2

s^{2} + 7s - 2 = 25 + 35 - 2

s^{2} + 7s - 2 = 58

**Question 14 :**

Evaluate the given expression for m = 1/3.

18m^{2} + 3m + 7

**Answer :**

Substitute 1/3 for m into the given expression.

18m^{2} + 3m + 7 = 18(1/3)^{2} + 3(1/3) + 7

18m^{2} + 3m + 7 = 2 + 1 + 7

18m^{2} + 3m + 7 = 10

**Question 15 :**

Evaluate the given expression for m = 13.

m^{2} + m - 54

**Answer :**

Substitute 13 for s into the given expression.

m^{2} + m - 54 = 13^{2} + 13 -54

m^{2} + m - 54 = 169 + 13 - 54

m^{2} + m - 54 = 128

**Question 16 :**

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

x^{2} + y^{2}

**Answer :**

Substitute 3 for x and 5 for y into the given expression.

x^{2} + y^{2 }= 3^{2} + 5^{2}

x^{2} + y^{2 }= 9 + 25

x^{2} + y^{2 }= 34

**Question 17 :**

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

5m^{2} + 2m^{2}n

**Answer :**

Substitute 5 for m and 2 for n into the given expression.

5m^{2} + 2m^{2}n = 5(5)^{2} + 2(5)^{2}(2)

5m^{2} + 2m^{2}n = 5(25) + 2(25)(2)

5m^{2} + 2m^{2}n = 125 + 100

5m^{2} + 2m^{2}n = 225

**Question 18 :**

Evaluate the given expression for s = 6.

s^{2} - 3s + 10

**Answer :**

Substitute 6 for s into the given expression.

s^{2} - 3s + 10 = 6^{2} - 3(6) + 10

s^{2} - 3s + 10 = 36 - 18 + 10

s^{2} - 3s + 10 = 28

**Question 19 :**

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

x^{2} - 3y^{2}

**Answer :**

Substitute 2 for x and -5 for y into the given expression.

x^{2} - 3y^{2 }= 2(2)^{2} - 3(-5)^{2}

x^{2} - 3y^{2 }= 2(4) - 3(25)

x^{2} - 3y^{2 }= 8 - 75

x^{2} - 3y^{2 }= -77

**Question 20 :**

Evaluate the given expression for m = 3.

(2m^{2} + 5m - 7) / 2

**Answer :**

Substitute 3 for m into the given expression.

(2m^{2} + 5m - 7) / 2 = [2(3)^{2} + 5(3) - 7] / 2

(2m^{2} + 5m - 7) / 2 = [2(9) + 15 - 7 ] / 2

(2m^{2} + 5m - 7) / 2 = (18 + 15 - 7) / 2

(2m^{2} + 5m - 7) / 2 = 26 / 2

(2m^{2} + 5m - 7) / 2 = 13

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