Systems of Equations Final Review Assignment.pdf - Systems of Equations Practice Questions 1(a Explain how graphing can be used to solve a linear system

Systems of Equations Final Review Assignment.pdf - Systems...

This preview shows page 1 - 3 out of 6 pages.

Systems of Equations Practice Questions 1. (a) Explain how graphing can be used to solve a linear system of two equations. (b) Explain how you could check your solution. 2. Solve the following linear system graphically. y = 5 3 x + y = 3 3. Solve each system of equations graphically and verify your solutions. (a) 4 2 y x y x (b) 5 7 x y x y   (c) 2 2 3 x y x y (d) 3 1 2 6 2 0 x y x y   4 . Determine the point of intersection of the lines and y = x + 3 by graphing. 5 . Determine the number of solutions for the following linear system. y = 3 x 2 12 x 4 y 8 = 0 6. Determine the number of solutions for the following linear system using a graph. 3 x 2 y = 6 7 . Determine the equation of a line in the form y = mx + b that together with the equation x + 3 y = 9 forms a linear system that has no solution. 8. Identify the equation of a line in the form y = mx + b that together with the equation 2 x + 2 y = 12 forms a linear system with an infinite number of solutions. 9. Determine whether each linear system has infinitely many solutions, no solution, or exactly one solution. Justify your answers: (a) 3 5 10 6 10 5 x y x y (b) 5 2 5 10 4 10 x y x y (c) 3 9 2 4 x y x y 10 . Explain how the substitution method is used to solve a linear system of two equations.
Image of page 1

Subscribe to view the full document.

11. Use the substitution method to solve each linear system. (a) x2y= 7 (b) x+ 3y= 5 (c) x+ 3y+ 1 = 0(d) 4x3y= 13 y = x + 1 2 x + y = 4 3 x y + 1 = 0 2 x + y = 4 12.The three lines y= x+ 1, y= 4 2x, and y= x5 intersect to form a triangle. Determine the coordinates of the vertices of the triangle. 13. For what values of the coefficients a and b is the ordered pair (2, 1) the solution to the linear system ax + by = 7 and 2 ax 3 by = 1? 14. For which of these solutions is 2, 1 a solution? x y x y x y x y   x y x y   15. Sea otters are found along the shores of the North Pacific.
Image of page 2
Image of page 3
  • Spring '17
  • Equations, Elementary algebra, John A. Macdonald, Sea Otters

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes