1. Lesson 6

1.2. Are You Ready?

Mathematics 20-1 Module 4

Module 4: Quadratic Equations and Inequalities

 

Are You Ready?

 

Complete these questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

  1. Solve the following systems of equations by substitution.

    1. x + y = 11
      y = 2x + 5

      Answer

    2. 3a + 4b = 1
      a + 2b = 7

      Answer

  2. Solve the following systems of equations by elimination.

    1. 2x + 5y = 18
      4x − 3y = 10

      Answer

    2. 9p − 8q = 126
      7p + 17q = −42

      Answer

  3. State the Pythagorean theorem. Answer

  4. Use the Pythagorean theorem to determine the length of the hypotenuse of the triangle shown. Assume that each grid square is equal to one unit. Answer

     
    This shows a graph of a right triangle with vertices at (–5,8), (6,–7), and (–5,–7). The hypotenuse is drawn in blue between (–5, 8) and (6, –7).