Math coaching with practical, creative, and interactive lessons

The Student and Tutor continued their study of solving systems of linear equations. They practiced the substitution method with challenging problems, including those resulting in infinite solutions and word problems requiring equation formulation. The core of the session introduced the elimination method, detailing its application and providing practice problems, with plans for more practice in the next class.

The Student and Tutor continued their study of solving linear equations in two variables using the substitution method. They practiced solving a series of problems from a worksheet, progressing from basic to more complex equations, including those involving fractions. The Tutor assigned two homework problems, including a revision of a previously solved problem that involved a crucial sign correction.

The Student and Tutor reviewed solving linear equations with one variable, practicing problems including those with fractions and decimals, and discussing special cases like 'all solutions' and 'no solution'. The session then introduced linear equations in two variables and the substitution method for solving systems of equations, with the Student practicing this new concept. The plan for the next class is to continue practicing the substitution method and introduce the elimination method.

The Student and Tutor commenced their session by introducing linear equations, covering their definition, the concept of variables, and the distinction between one- and two-variable equations. They practiced solving various one-variable linear equations, applying addition, subtraction, multiplication, and division, and explored strategies for handling equations involving distribution and fractions. The next class is scheduled for Monday.

The Student and Tutor practiced solving systems of linear equations graphically. The Student learned how to create graphs from equations by finding coordinate points and plotting lines. They also practiced identifying the type of solution (unique, none, or infinite) based on whether the lines intersect, are parallel, or coincide.

The session covered how to determine if a system of two linear equations has a unique, infinite, or no solution by comparing the ratios of their coefficients. The Student practiced identifying a1, b1, c1, a2, b2, and c2 in given equations and using these values to determine the type of solution and corresponding type of lines (intersecting, parallel, or coincident). The plan is to continue solving equations and explore graphing in the next session.