# HOW TO EVALUATE LINEAR EXPRESSIONS

## About "How to evaluate linear expressions"

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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