You evaluate an algebraic expression when you try to find the value of the algebraic expression by substituting a given number for each variable.
Then you can simplify the resulting numerical expression using the order of operations.
Example #1
Evaluate 2a - 2^{5} ÷ b for a = 6 and b = 8
Substitute 6 for a and 8 for b
2a - 2^{5} ÷ b = 2 x 6 - 2^{5} ÷ 8
Simplify the power
2a - 2^{5} ÷ b = 2 x 6 - 32 ÷ 8
Multiply and divide from left to right
2a - 2^{5} ÷ b = 12 - 4
Subtract
2a - 2^{5} ÷ b = 8
Example #2
Evaluate a^{2} - 2b + c for a = 4, b = 6 and c = 3
Substitute 4 for a, 6 for b, and 3 for c
a^{2} - 2b + c = 4^{2} - 2 x 6 + 3
Simplify the power
a^{2} - 2b + c = 16 - 2 x 6 + 3
Perform the multiplication
a^{2} - 2b + c = 16 - 12 + 3
Add and subtract from left to right
a^{2} - 2b + c = 4 + 3
a^{2} - 2b + c = 7
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