B Evaluate Each Algebraic Expression For The Given Value Of The Variable. Show Your Complete Solutio

B Evaluate each algebraic expression for the given value of the variable. Show your complete Solution

Example: 16 - x When x=5
Solution:16 - 5 = 11

1. 3n when n= 11
2. xy - 5 when x = 5, y = 2
3. p3 when p = 2
4. r + s2 when r = 4, s = 1
5. C2/d when c= 6, d = 3

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B. Evaluate each algebraic expression for the given value of the variable. Show your complete solution.

Example: 16 - x When x=5

Solution: 16 - 5 = 11

Answer:

1. 3n when n= 11 → 33

2. xy - 5 when x = 5, y = 2 → 5

3. p³ when p = 2 → 8

4. r + s² when r = 4, s = 1 → 5

5. c²/d when c= 6, d = 3 → 12

Solution:

#USING SUBSTITUTION METHOD#

1. 3n when n= 11

= 3n

= 3(11)

= 33

2. xy - 5 when x = 5, y = 2

= (5)(2)-5

= (10)-5

= 5

3. p³ when p = 2

= p³

= (2)³

= 8

4. r + s² when r = 4, s = 1

= r + s²

= (4) + (1)²

= (4) + (1)

= 5

5. c²/d when c= 6, d = 3

= c²/d

= (6)²/3

= (36)/3

= 12

Dont Forget To Take Note:

  • The substitution method includes presenting a system of algebraic equations in terms of only one variable.
  • The substitution method to solve algebraic equations is a strategy for compressing a system of linear equations through defining one variable in terms of another and therefore eliminating one variable from the equation.

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