Intro to Systems of Equations: Independent Practice

📚 Topic Summary

A system of equations is a set of two or more equations containing the same variables. The solution to a system of equations is the set of values for the variables that makes all the equations true. We can solve systems of equations using methods like graphing, substitution, or elimination. Independent practice helps you solidify your understanding and build confidence!

🧮 Part A: Vocabulary

Match the following terms with their definitions:

1. System of Equations
2. Solution
3. Variable
4. Substitution
5. Elimination

Definitions:

1. A method to solve systems by solving one equation for a variable and substituting that expression into the other equation.
2. A letter or symbol representing an unknown quantity.
3. A set of two or more equations containing the same variables.
4. A method to solve systems by adding or subtracting equations to eliminate a variable.
5. The value(s) that satisfy all equations in a system.

(Match 1-5 to A-E)

✍️ Part B: Fill in the Blanks

A _______ of equations is a set of two or more equations with the same _______. To solve a system, we need to find the _______ that satisfies _______ equation in the system. Two common methods for solving these systems are _______ and _______.

🤔 Part C: Critical Thinking

Explain in your own words why it's important to check your solution after solving a system of equations.