EVALUATE NUMERICAL EXPRESSIONS INVOLVING INTEGERS
About "evaluate numerical expressions involving integers"
Evaluate numerical expressions involving integers :
Here we are going to learn, how to evaluate linear expressions. To evaluate a linear expression we have to replace each variable by the given value. Then we have to simplify this.
Linear expression means we have the highest power 1 for all the variables that we have in the question.
Let us see some examples problems based on the above topic.
Evaluate numerical expressions involving integers -Examples
Example 1 :
Evaluate the following using the given values.
y ÷ 2 + x, use x = 1 and y = 2
Solution :
Now we have to use order of operation to simplify this further.
According to "BODMAS", we have to perform division and then we can use addition.
= 4 + 1
= 5
Hence the value of the given expression is 5.
Example 2 :
Evaluate the following using the given values.
x + y + y; use x = 9, and y = 10
Solution :
= x + y + y
= 9 + 10 + 10
= 29
Hence the value of the given expression is 29.
Example 3 :
Evaluate the following using the given values.
z(x + y); use x = 6, y = 8, and z = 6
Solution :
= z(x + y)
= 6(6 + 8)
According to "BODMAS", we have to simplify the terms which is inside the bracket.
= 6(14)
Now we have to multiply 6 and 14.
= 84
Hence the value of the given expression is 84.
Example 4 :
Evaluate the following using the given values.
(y + x) ÷ 2 + x; use x = 1, and y = 1
Solution :
= (y + x) ÷ 2 + x
= (1 + 1) ÷ 2 + 1
Simplify the numbers which are inside the bracket first
= 2 ÷ 2 + 1
Now we have to divide
= 1 + 1
= 2
Hence the value of the given expression is 2.
Example 5 :
Evaluate the following using the given values.
z − (y ÷ 3 − 1); use y = 3, and z = 7
Solution :
= z − (y ÷ 3 − 1)
= 7 − (3 ÷ 3 − 1)
Simplify the numbers which are inside the bracket first
= 7 − (1 − 1)
= 7 − 0 ==> 7
Hence the value of the given expression is 7.
Example 6 :
Evaluate the following using the given values.
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Solution :
= p − (9 − (m + q))
= 5 − (9 - (4 + 3))
Perform simplification in the inner most bracket.
= 5 − (9 - 7)
= 5 − 2 ==> 3
Hence the value of the given expression is 3.
Example 7 :
Evaluate the following using the given values.
y − (4 − x − y ÷ 2); use x = 3, and y = 2
Solution :
= y − (4 − x − y ÷ 2)
= 2 − (4 − 3 − 2 ÷ 2)
= 2 − (4 − 3 − 1)
= 2 − (4 − 4)
= 2 − 0 ==> 2
Hence the value of the given expression is 2.
Example 8 :
Evaluate the following using the given values.
y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
Solution :
= y ÷ 5 + 1 + x ÷ 6
= 5 ÷ 5 + 1 + 6 ÷ 6
= 1 + 1 + 1 ==> 3
Hence the value of the given expression is 3.
Example 9 :
Evaluate the following using the given values.
p − (9 − (m + q)); use m = 4, p = 5, and q = 3
Solution :
= p − (9 − (m + q))
= 5 − (9 − (4 + 3))
= 5 − (9 − 7)
= 5 − 2 ==> 3
Hence the value of the given expression is 3.
Example 10 :
Evaluate the following using the given values.
6q + m − m; use m = 8, and q = 3
Solution :
= 6q + m − m
= 6(3) + 8 - 8
= 18 + 0 ==> 18
Hence the value of the given expression is 18.
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