# Algebraic Solutions to Linear Systems Worksheets

How to Transition Algebraic Solutions to Linear Systems - The system of the linear equation says that for every algebraic equation, there is a graph being plotted on the back end. Every algebraic expression or algebraic solution is a representative of a graph on the cartesian coordinate system (a plane containing x and y axes). An equation that is as simple as a single variable having a static value can be represented on the graph by simply making a dot on the x and y plane. However, there are a selection of complex equations as well-known as linear and curvy linear equations. In such cases, equations might be represented by straight lines or curves on the graphs; it all depends on the degree of the equation. By the degree of an equation, we mean the highest power of the variable in an equation. When you find the solution set (the values of the variables) of an algebraic equation, you just put those values in the equation of those linear systems and can get the graphs plotted.

• ### Basic Lesson

Demonstrates the use of algebra in linear systems. Practice problems are provided. Insert the value of y in any of the equation and find the value of x.

• ### Intermediate Lesson

Explains how to reorder linear systems. Practice problems are provided.

• ### Independent Practice 1

Contains 20 Algebraic Solutions to Linear Systems problems. The answers can be found below.

• ### Independent Practice 2

Features another 20 Algebraic Solutions to Linear Systems problems.

• ### Homework Worksheet

12 Algebraic Solutions to Linear Systems problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Algebraic Solutions to Linear Systems problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Mystery Number

Use algebra to "guess" someone's mystery number. Number of birth month, add 32, add difference between 12 and birth month, divide by 2 and add 3; get 25. With this formula, the birth month number is always added then subtracted, so the answer is always 25.