Writing and evaluating expressions worksheet pdf answer key 2025

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To evaluate an algebraic expression, we need to know the numerical value of every variable. For each variable in the expression, we substitute the given value that it stands for, then evaluate the expression. This process of replacing the variable by their numerical value is called substitution.
The general algebraic formulas we use to solve the expressions or equations are: (a + b)2 = a2 + 2ab + b. (a b)2 = a2 2ab + b. a2 b2 = (a b)(a + b) (a + b)3 = a3 + b3 + 3ab(a + b) (a b)3 = a3 b3 3ab(a b) a3 b3 = (a b)(a2 + ab + b2) a3 + b3 = (a + b)(a2 ab + b2)
0:34 5:32 We substitute the six for the n. And we add six plus four so when n is equal to six n plus four isMoreWe substitute the six for the n. And we add six plus four so when n is equal to six n plus four is equal to 10.. So its telling us to evaluate for the given value of the variable.
The order of operations should always be used to evaluate the expression. For any given expression, this means solving within the parentheses, then the exponents, then multiplying or dividing from left to right, and finally adding or subtracting left to right. Not following this order will give the incorrect answer.
For example, m decreased by 7 tells us to start at m and decrease by 7 which can be written as the expression m 7 .
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0:34 5:32 So here we have an expression n plus 4. And the given value is that n is equal to 6.. You can see weMoreSo here we have an expression n plus 4. And the given value is that n is equal to 6.. You can see we have a semicolon here and it separates the expression from the given value of the variable. We
An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 5x + 7. Thus, we can say that 5x + 7 is an example of an algebraic expression.

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