Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
1. Variables and Expressions
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Exercise 1 Page 7

Practice makes perfect
a Let's start by reviewing the definitions of an algebraic and a numerical expression.
  • Algebraic Expression: a mathematical phrase that includes one or more variables.
  • Numerical Expression: a mathematical phrase involving numbers and operation symbols, but no variables.

Now, let's analyze the given expression. 7Ă· 2 As we can see, it involves two numbers and the operation symbol of division, but does not contain any variables. Therefore, this is a numerical expression.

b Similarly, we can examine the second expression.

4 m + 6 Notice that it contains a variable m, which allows us to conclude that this is an algebraic expression.

c Let's now analyze the last given expression.

2(5-4) It contains numbers and operation symbols, but no variables. Therefore, it is a numerical expression.