Chapter 1
Numbers and Operations
Course: Elementary Education Multiple Subjects 5001
Subject: Elementary Education Mathematics Subtest 5003
Chapter: Algebraic Thinking
1. Differentiates between algebraic expressions and equations
Algebraic expressions are combinations of numbers, variables, and operations (such as addition, subtraction, multiplication, and division) that represent a quantity. However, expressions do not contain an equal sign, and they cannot be solved, only simplified or evaluated if the variable's value is known.
Examples:
- 2x + 5
- 4(a − 3)
- x² − 6x + 9
Algebraic equations, on the other hand, are complete mathematical statements that show two expressions are equal. Equations contain an equals sign (=) and can be solved to find the value(s) of the variable(s).
Examples:
- 2x + 5 = 15
- y² = 49
- 3a − 2 = 10
Differences:
- Expressions are like incomplete sentences in math; they don’t make a full claim and don’t require a solution.
- Equations are complete thoughts that set two things equal and ask for a solution.