Effective Study Methods for Algebra 1 Midterm

A property of equations that allows the terms to be rearranged without changing the equation's solution, e.g., a + b = b + a.

The process of simplifying an expression by combining like terms and applying the order of operations.

The slope of a line describes its steepness and direction. A positive slope indicates an upward slant, while a negative slope indicates a downward slant.

The equation of a line that represents the relationship between x and y values. It can be written in various forms, including slope-intercept form (y = mx + b) or standard form (Ax + By = C).

A system of equations is a set of two or more equations with the same variables. The goal is to find the values that satisfy all equations in the system simultaneously.

A method for solving systems of equations by eliminating one variable by adding or subtracting the equations together.

A linear inequality represents a relationship between variables where one side is greater than or less than the other side. The solution is the set of values that satisfy the inequality.

The absolute value of a number is its distance from zero on the number line. It is always a positive value.

Actively testing yourself by recalling information from memory without relying on notes. This method significantly improves your ability to retrieve information during exams.

Reviewing material at increasing intervals over time, instead of cramming all at once. By revisiting information periodically, you build stronger memory connections.

A method where you teach a concept to yourself or someone else as if they have no prior knowledge. This helps you identify gaps in your understanding and forces you to break down complex ideas into simpler steps.

Simulating test conditions through practice quizzes, sample problems, or working through past tests. This reduces anxiety and builds familiarity with the exam format.

Studying multiple topics or concepts within one session, instead of focusing on a single topic for an extended period. This improves your ability to differentiate and apply concepts effectively.

Breaking study sessions into smaller, focused chunks over several days or weeks. This method improves long-term retention and prevents information overload.

Alternating between focused work sessions (for problem-solving) and relaxed reflection (allowing for creative connections and consolidation of information).

Learning from your mistakes by reviewing incorrect problems and identifying where you went wrong. This helps reinforce the correct methods and highlights areas for improvement.

Creating mental or physical visual aids (graphs, diagrams) to represent abstract concepts. This helps you process and remember information more effectively.

Having a belief that your abilities can improve through effort and persistence. This positive mindset reduces stress and encourages you to embrace challenges.

This is a technique where you break down a complex topic into smaller, more manageable pieces. This helps you to understand a concept more easily and to remember it better.

This is a technique that involves taking short breaks during your study sessions. This can help to improve your focus and to prevent burnout.

This involves studying different subjects in a single session. This can help you to retain the information better as your brain is forced to switch between different topics.

This involves reviewing material at spaced intervals. This can help to strengthen your memory and to improve your retention of information.

This is a technique where you explain a concept to yourself or to someone else as if you were teaching them the subject. This can help you to identify gaps in your understanding and to solidify your knowledge.