Multi-Step Equations & Inequalities

Interpret the structure of expressions * Solve equations and inequalities in one variable * Reason quantitatively and use units to solve problems * Write expressions in equivalent forms to solve problems * Create equations that describe numbers or relationships * Analyze and solve linear equations and pairs of simultaneous linear equations * Understand solving equations as a process of reasoning and explain the reasoning

Topics

Multi-Step equations
Variables on Both Sides
Infinite and No Solution Equations
Algebraic Proportions
Absolute Value Equations
Multi-Step Inequalities
Compound Inequalities
Absolute Value Inequalities

Prerequisites

Describing a pattern
Adding and subtracting real numbers
Multiplying and dividing real numbers
Combining like terms
Ordering rational numbers
Absolute value
Solving one-step equations
Solving two-step equations

Goals

Solve complex equations concurrently (multi-step equations, equations with variables on both sides, and those involving the distributive property)
Solve equations with fractions and decimals
Solve algebraic proportions
Solve absolute value equations
Solve problems that may have no solution or infinitely many solutions
Solve literal equations
Write algebraic proofs
Solve linear inequalities and graph the solution on a number line
Model real-world problems and interpret the solution in context of the problem
Choose a level of precision/accuracy that is appropriate when reporting quantities
Use dimensional analysis to convert between units in real-world problems