**How to evaluate linear expressions :**

Linear expression means we have the highest power 1 for all the variables that we have in the question.

To evaluate a linear expression, we have to apply the given value in the linear expression and simplify the arithmetic expression.

Let us see some examples problems based on the above topic.

**Example 1 :**

Evaluate the following linear expression

16 x - 48 for x = -1

**Solution :**

= 64

Hence the answer is 64.

**Example 2 :**

Evaluate the following linear expression

-11 x - 23 for x = 5

**Solution :**

**Now we have to apply the value 5 instead of x in the given expression.**

** = -11 (5) - 23**

** = -55 - 23**

** = -78**

**Hence the answer is -78**

**Example 3 :**

Evaluate the following linear expression

14 x + 99 for x = 0

**Solution :**

**Now we have to apply the value 0 instead of x in the given expression.**

** = **14 x + 99

** = 14(0) + 99**

**= 0 + 99**

**= 99**

**Hence the answer is 99**

**Example 4 :**

Evaluate the following linear expression

-7y + 69 for x = 9

**Solution :**

**Now we have to apply the value 9 instead of y in the given expression.**

** = **-7y + 69

** = **-7(9) + 69

**= -63 + 69**

**= 6**

**Hence the answer is 6.**

**Example 5 :**

Evaluate the following linear expression

-10t + 35 for t = 5

**Solution :**

**Now we have to apply the value 5 instead of t in the given expression.**

** = **-10t + 35

** = **-10(5) + 35

**= -50 + 35**

**= -15**

**Hence the answer is -15.**

**Example 6 :**

Evaluate the following linear expression

18x - 32 for x = -3

**Solution :**

**Now we have to apply the value -3 instead of x in the given expression.**

** = **18x - 32

** = 18**(-3) - 32

**= -54 -32**

**= -86**

**Hence the answer is -86.**

**Example 7 :**

Evaluate the following linear expression

-4x + 7 for x = -1

**Solution :**

**Now we have to apply the value -1 instead of x in the given expression.**

** = **-4x + 7

** = **-4(-1) + 7

**= 4 + 7**

**= 11 **

**Hence the answer is 11.**

**Example 8 :**

Evaluate the following linear expression

-5x + 5 for x = 1

**Solution :**

**Now we have to apply the value 1 instead of x in the given expression.**

** = **-5x + 5

** = **-5(1) + 5

**= -5 + 5**

**= 0 **

**Hence the answer is 0.**

**Example 9 :**

Evaluate the following linear expression

9 (4x + 2) for x = -3

**Solution :**

**Now we have to apply the value -3 instead of x in the given expression.**

** = **9 (4x + 2)

** = **9 [4(-3) + 2]

**= 9[-12 + 2]**

**= 9(-10) ==> -90**

**Hence the answer is -90.**

**Example 10 :**

Evaluate the following linear expression

2 (b - 6) for b = 5

**Solution :**

**Now we have to apply the value 5 instead of b in the given expression.**

** = **2 (b - 6)

** = **2 (5 - 6)

** = **2 (-1)

**= -2**

**Hence the answer is -2.**

After having gone through the stuff given above, we hope that the students would have understood "How to evaluate linear expressions".

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