📚 Topic Summary
Systems of equations involve two or more equations with the same variables. The goal is to find values for those variables that satisfy all equations simultaneously. In Algebra 2, you'll typically encounter linear systems (where the variables are raised to the power of 1) and sometimes systems involving quadratic equations. Solving these systems involves methods like substitution, elimination, or graphing to find the points where the equations intersect.
🔤 Part A: Vocabulary
Match the term to its definition:
| Term |
Definition |
| 1. System of Equations |
A. A method to solve systems by isolating a variable. |
| 2. Solution |
B. A point that satisfies all equations in the system. |
| 3. Substitution |
C. A set of two or more equations with the same variables. |
| 4. Elimination |
D. A method to solve systems by adding or subtracting equations. |
| 5. Linear System |
E. A system where all equations are linear. |
(Answers: 1-C, 2-B, 3-A, 4-D, 5-E)
✍️ Part B: Fill in the Blanks
A ______ of equations is a set of two or more equations with the same ______. The ______ to the system is the set of values for the variables that makes all equations true. Two common methods for solving systems are ______ and ______. In a ______ system, all the equations are linear.
(Answers: system, variables, solution, substitution, elimination, linear)
🤔 Part C: Critical Thinking
Explain, in your own words, why it is important to check your solution when solving a system of equations.