Chapter 1
Numbers and Operations
Course: Elementary Education Multiple Subjects 7001
Subject: Elementary Education Mathematics Subtest 7003
Chapter: Algebraic Thinking
1. Solves multistep one-variable linear equations and inequalities
1. Understanding the Process:
Multistep one-variable linear equations and inequalities involve isolating the variable through a structured sequence of algebraic operations. These operations may include applying the distributive property, combining like terms, and using inverse operations such as addition/subtraction and multiplication/division to simplify both sides of the equation or inequality.
The goal is to transform the equation or inequality into a simpler form where the solution becomes evident, all while maintaining the equality or inequality throughout the process.
Linear Equation Example:
Solve: 3(x−2)+4=2x+7
Step-by-step process:
- Distribute: 3x−6+4=2x+7
- Combine like terms on the left: 3x−2=2x+7
- Subtract 2x from both sides (inverse operation): x−2=7
- Add 2 to both sides (inverse operation): x=9
Solution: x=9
This value of x satisfies the original equation.