Curriculum Resources
Take learning to the next level and transform the way you teach with a vast library of ready-to-use, standards-aligned, adaptable curriculum resources. The resources listed below are either available with an Online Learning Subscription which allows you to instruct, assess and track student performance or as individual hands-on classroom resources which can be purchased. Choose from Multimedia Lessons, Curriculum Mastery Games, Flip Charts, Visual Learning Guides, Flash Cards, Vocabulary Cards, and Curriculum Modules available on our online store. PREMIUM ONLINE LEARNING SUBSCRIPTION OPTIONS
  • Select By Standard
  • BROWSE CURRICULUM
    • General Science
    • Life Science / Biology
    • Human Body
    • Earth Science
    • Physical Science
    • Chemistry
    • Math
    • Language Arts
    • Social Studies
 

Back
FREE Trial to
Online Learning
Shop for printed
Flip Charts

Systems of Equations

Mathematics, Grade 6

 
1
/
2
In algebra, two or more equations, called a system of equations, can be solved together. A system of equations is a set of two or more equations with the same number of variables. A solution of a system of equations is a set of values that are solutions which satisfy all the equations. y = -3 x 2 2 x + y = 12 2 x + y = 12 12 2 x = -8 + 2 x 12 = -8 + 4 x y = 12 2 x y = 12 2 (5) y = 12 10 y = 2 4 x 2 y = 16 2 x 2 x y = 2 x 2 y = -3 x 2 y = -3 x 2 y = 2 x 2 -2 = -2 y = 2 x 2 Solving Systems of Equations Identifying Solutions The Graphical Method x y -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 A system of equations can be solved by graphing all of the equations in the system. Is the ordered pair (0,-2) a solution of the system of equations below? The solution of a system of equations is the point at which the lines intersect. The solution set is (5,2) The ordered pair (0,-2) is a solution of the system of equations. Solve the system of equations: Solve the system of equations: y = 2 x 2 y = -3 x 2 -2 = -3 (0) 2 ? -2 = -2 -2 = 2 (0) 2 + 2 x + 2 x + 8 + 8 4 x 2 y = 16 -2 y = 16 4 x y = -8 + 2 x 4 x 4 x -2 -2 -2 Solve both equations for y 20 = 4x 5 = x solution (0,-2) ? © Copyright NewPath Learning. All Rights Reserved. 93-4810 www.newpathlearning.com Systems of Equations
\|xiBAHBDy01687ozX In algebra, two or more equations, called a , can be solved together. A system of equations is ____________ _____________________________________ _____________________________________ . A solution of a system of equations is _____________________________________ _____________________________________ . y = -3 x 2 2 x + y = 12 2 x + y = 12 y = 4 x 2 y = 16 y = 2 x 2 y = -3 x 2 y = -3 x 2 y = 2 x 2 y = 2 x 2 Solving Systems of Equations Identifying Solutions The Graphical Method x y -5 -4 -3 -2 -1 1 1 2 3 4 5 2 3 4 5 -1 -2 -3 -4 -5 0 A system of equations can be solved by graphing all of the equations in the system. Is the ordered pair (0,-2) a solution of the system of equations below? The solution of a system of equations is the point at which the lines intersect. The solution set is Solve the system of equations: Solve the system of equations: 4 x 2 y = 16 Solve both equations for y = x Key Vocabulary Terms algebra equation ordered pair solution set system of equations variable © Copyright NewPath Learning. All Rights Reserved. 93-4810 www.newpathlearning.com Systems of Equations
© Copyright 2012-2018 NewPath Learning. All Rights Reserved. Privacy Notice * Terms of Use