Teacher edition (with key)← Systems of equations and inequalities

Systems of equations and inequalities

High School Math 1 · Unit 6 · linear-systems

linear-systems
Name ______________________________Date ______________
  1. 1.

    Solve the system by substitution and enter xx:

    y=2x−1,3x+y=14y = 2x - 1, \qquad 3x + y = 14

    Answer: ______________

  2. 2.

    Solve the system by elimination and enter yy:

    3x+2y=16,5x−4y=13x + 2y = 16, \qquad 5x - 4y = 1

    Answer: ______________

  3. 3.

    A school play sells 120120 tickets. Adult tickets cost $8 and student tickets cost $5, and the total collected is $780. How many adult tickets were sold?

    Answer: ______________

  4. 4.

    How many solutions does this system have?

    2x−4y=8,x−2y=62x - 4y = 8, \qquad x - 2y = 6

    1. (A)

      exactly one solution

    2. (B)

      no solution

    3. (C)

      infinitely many solutions

    4. (D)

      exactly two solutions

  5. 5.

    Three pens and two notebooks cost $11. Two pens and three notebooks cost $14. What is the cost of one pen and one notebook together?

    1. (A)

      $1

    2. (B)

      $3

    3. (C)

      $4

    4. (D)

      $4.50

    5. (E)

      $5