Writing and evaluating expressions worksheet is much useful to the kids who would like to practice problems on writing and evaluating expressions

1. "The sum of 5 times a number and 8"

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

3. "7 less than 4 times a number"

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

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

6. "5 times of a number is decreased by 8"

7. "6 times of a number is increased by 15"

8. "7 less than 3 times the sum of a number and 6"

9. "3 times the difference between a number and 8"

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

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

**3x + 2y**

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

**m****²**** + 2mn****²**

3. Evaluate the given expression for s = 5.

**s****²**** + 7s - 2**

4. Evaluate the given expression for m = 1/3.

**18m****²**** + 3m + 7**

**5. **Evaluate the given expression for m = 13.

**m****²**** + m - 54**

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

**x² + y****²**

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

**5m****²**** + 2m****²n**

**8. **Evaluate the given expression for s = 6.

**s****²**** -3s + 10**

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

**x² - 3y****²**

**10. **Evaluate the given expression for m = 3.

**(2m****²**** + 5m - 7) / 2**

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.

**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 and evaluating expressions worksheet**"**

**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 and evaluating expressions worksheet**"**

**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 worksheet**"**

**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 and evaluating expressions worksheet**"**

**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 worksheet**"**

**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 pf 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 worksheet"

**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 worksheet"

**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 worksheet"

**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 worksheet"

**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 worksheet"

**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 worksheet"

**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 worksheet"

**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 "Writing and evaluating expressions worksheet"

**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 "Writing and evaluating expressions worksheet"

**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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