Solve real-world and mathematical problems by writing and solving equations

What you'll learn

1. Identify whether a one-variable equation has an additive structure (x + p = q) or multiplicative structure (px = q) and apply the matching inverse operation to solve it
2. Solve equations of the form x + p = q and px = q for nonnegative rational values of p, q, and x, including those with fractional and decimal coefficients
3. Verify solutions by substituting back into the original equation
4. Translate a real-world word problem into an equation of the form x + p = q or px = q using a systematic 5-step protocol
5. Interpret the solution to an equation in its real-world context

Prerequisites

• Understand solving an equation or inequality as a process of answering a question
• Use variables to represent numbers and write expressions