Unit 4: Systems of Equations Vocabulary

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Across
  1. 2. Elimination Method: used to solve a system of equations by eliminating one of the variables to obtain a new
  2. 3. Coefficient: a numerical or constant factor that is multiplied by a variable in an expression or equation 3. X-Intercept: the point where a graph intersects the x-axis. It is the value of x when y is equal to zero (x, 0) 4. Y-Intercept: the point where a graph intersects the y-axis. It is the value of y when x is equal to zero (0, y) 5. System of Equations: two or more linear equations that are solved simultaneously to find the values of the
  3. 5. Lines: lines in a plane that never intersect, no matter how far they are extended in either direction 14. Perpendicular Lines: two lines that intersect at a right angle (90 degrees)
  4. 6. One Solution: the system of equations intersect at a single point, resulting in exactly one ordered pair that
  5. 7. all of the equations in the system; the lines will have different slopes
  6. 8. identifying the point(s) where the graphs intersect, if they intersect; These points of intersection represent the solutions to the system of equations
  7. 9. and then substituting that expression into the other equation(s)
  8. 11. that satisfy all the equations in the system
  9. 12. the lines will have the same slope and y-intercept
  10. 14. Method: used to find the solution(s) to a system of equations by solving one equation for one
Down
  1. 1. No Solutions: the system of equations do not intersect at any point resulting in parallel lines; there are no values that satisfy the system of equations; the lines will have the same slope but different y-intercepts
  2. 2. Lines;two lines that intersect at a right angle (90 degrees)
  3. 4. Solution of a System: the ordered pair that makes all of the equations in a system true
  4. 5. Graphing Method: used to solve a system of equations by graphing each equation on the coordinate plane
  5. 10. with only one variable
  6. 13. Infinite Solutions: the system of equations represent identical lines resulting in an unlimited number of
  7. 14. Variable: a symbol or letter representing an unknown quantity