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The value of expression 9 + 4n - 1 is 20 when n = 3. The detailed solution for the same is added below:
Given Expression:
- 9 + 4n - 1
- n = 3
We will put the value of n = 3 in above given expression:
= 9 + 4n - 1
= 9 + 4(3) - 1
= 9 + 12 - 1
= 21 - 1 = 20
So the value of expression is 20
Question 1: What is the value of the expression n2 + 5n - 5 when n equals 2?
Solution:
Given Expression:
- n2 + 5n - 5
- n = 2
We will put the value of n = 2 in above given expression:
= n2 + 5n - 5
= 22 + 5(2) - 5
= 4 + 10 - 5
= 14 -5 = 9
So the value of expression is 9
Question 2: What is the value of the expression 4x + 7 when x equals 3?
Solution:
- Given Expression: 4x + 7
- x = 3
We will put the value of n = 2 in above given expression:
= 4x + 7
= 4(3) + 7
= 12 + 7 = 19
So the value of expression is 19
Question 3: What is the value of the expression (n + 2)2 when n equals -2?
Solution:
Given Expression: (n + 2)2
n = -2
We will put the value of n = - 2 in above given expression:
= (n + 2)2
By using algebraic expression, (a + b)2 = a2 + 2ab + b2
= n2 + 2(n)(2) + 22
Now put the value of n= -2 in above expression
= (-2)2 + 2(-2)(2) + 4
= 4 + (-8) + 4
= 4 - 8 +4
= 8 - 8 = 0
So the value of expression is 0
Question 4: What is the value of the expression 20 - 4n when n equals 4?
Solution:
- Given Expression: 20 - 4n
- n = 4
We will put the value of n = 4 in above given expression:
= 20 - 4n
= 20 - 4(4)
= 20 - 16 = 4
So the value of expression is 4
Question 5: What is the value of the expression x2(5 - x) when x equals 3?
Solution:
- Given Expression: x2(5 - x)
- x = 3
We will put the value of x = 3 in above given expression:
= x2(5 - x)
= 5x2 - x3
= 5(3)2 - 33
= 5(9) - 27
= 45 - 27 = 18
So the value of expression is 18
Question 6: What is the value of the expression 3x + 4y + 20 when x = 3 , y = 2?
Solution:
- Given Expression: 3x + 4y + 20
- x = 3, y = 2
We will put the value of x = 3 , y = 2 in above given expression :
= 3x + 4y + 20
= 3(3) + 4(2) + 20
= 9 + 8 + 20
= 17 + 20 = 37
So the value of expression is 37