Algebra is a branch of mathematics that uses symbols and letters to represent numbers and quantities in equations and formulas. It involves solving for unknown variables and analyzing patterns and relationships.

**Variables:**In algebra, letters such as x, y, and z are used to represent unknown or changing quantities.**Expressions:**Algebraic expressions are combinations of numbers, variables, and arithmetic operations such as addition, subtraction, multiplication, and division.**Equations:**Equations are mathematical sentences that state that two expressions are equal. They often contain variables and are solved to find the value of the unknowns.**Functions:**Functions describe relationships between input and output values. They can be represented using algebraic expressions, tables, graphs, or verbal descriptions.**Graphing:**Graphs are visual representations of equations and functions on coordinate planes.

**Addition and Subtraction:**In algebra, like terms can be combined by adding or subtracting their coefficients.**Multiplication and Division:**The distributive property and rules of exponents are used to simplify algebraic expressions involving multiplication and division.**Solving Equations:**Equations are solved by isolating the variable using inverse operations and properties of equality.**Factoring:**Factoring involves finding the prime factors of algebraic expressions to simplify or solve equations.**Quadratic Equations:**Quadratic equations are second-degree polynomial equations that can be solved using various methods, including factoring, completing the square, and using the quadratic formula.

Algebra is used in various real-world applications, including physics, engineering, economics, computer science, and more. It helps in solving problems related to quantities, patterns, and relationships.

- Practice regularly: Solve a variety of algebraic problems to strengthen your understanding of concepts.
- Understand the rules: Familiarize yourself with the rules of operations and properties of equality in algebra.
- Use resources: Utilize textbooks, online tutorials, and practice worksheets to reinforce your learning.
- Seek help when needed: Don't hesitate to ask your teacher or a tutor for assistance with challenging topics.
- Apply algebra to real-life situations: Look for opportunities to use algebra in everyday scenarios to enhance your problem-solving skills.

Study GuideIntroduction to Algebra Activity LessonAlgebraic Expression Cards Worksheet/Answer key

Introduction to Algebra Worksheet/Answer key

Introduction to Algebra Worksheet/Answer key

Introduction to Algebra Worksheet/Answer keyAlgebra Riddles

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Develop an initial conceptual understanding of different uses of variables.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.