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- Prealgebra
- The language of algebra
- Evaluate, simplify, and translate
By the end of this section, you will be able to:
- Evaluate algebraic expressions
- Identify terms, coefficients, and like terms
- Simplify expressions by combining like terms
- Translate word phrases to algebraic expressions
Evaluate algebraic expressions
In the last section, we simplified expressions using the order of operations. In this section, we’ll evaluate expressions—again following the order of operations.
To
evaluate an algebraic expression means to find the value of the expression when the
variable is replaced by a given number. To evaluate an
expression , we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Evaluate
when
-
ⓐ
-
ⓑ
Solution
ⓐ To evaluate, substitute
for
in the expression, and then simplify.
When
the expression
has a value of
ⓑ To evaluate, substitute
for
in the expression, and then simplify.
When
the expression
has a value of
Notice that we got different results for parts
ⓐ and
ⓑ even though we started with the same expression. This is because the values used for
were different. When we evaluate an expression, the value varies depending on the value used for the variable.
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Evaluate
-
ⓐ
-
ⓑ
Solution
Remember
means
times
so
means
times
ⓐ To evaluate the expression when
we substitute
for
and then simplify.
ⓑ To evaluate the expression when
we substitute
for
and then simplify.
Notice that in part
ⓐ that we wrote
and in part
ⓑ we wrote
Both the dot and the parentheses tell us to multiply.
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Identify terms, coefficients, and like terms
Algebraic expressions are made up of
terms . A
term is a constant or the product of a constant and one or more variables. Some examples of terms are
Questions & Answers
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Source:
OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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