Technology Education IRPAppendix F: Illustrative Examples
Mathematics 8


PATTERNS AND RELATIONS (Variables and Equations)

In order to prepare students to solve and verify one-step linear equations with rational number solutions, it is expected that students will:

Prescribed Learning Outcomes
Illustrative Examples

  • illustrate the solution process for a one-step, single-variable, first-degree equation, using concrete materials or diagrams

Kassidy bought five CDs at the same price and paid a total of $84.45. How much did each CD cost? Write an equation and show how to solve it algebraically. Verify your answer by substituting it in your equation or by using algebra tiles.
  • solve and verify one-step, first-degree equations of the form:

    x + a = b

    ax = b

    = b

    where a and b are integers

Solve:

x + 7 = 10

4x = 20

= 2.75

x ­ 2.1 = 4.7

 

*Maria had a length of fabric to make banners. She divided the fabric into six equal pieces, and each piece was 2.75 m long. What was the length of the fabric? Write an equation and show how to solve it algebraically. Verify your answer by substituting it in your equation or by using strips of grid paper.

  • solve problems involving one-step, first-degree equations

Use the following information to construct a word problem.

It is 300 km from Regina to Gull Lake. About halfway between the two locations is Chaplin. Deleho drives her car the speed limit on Highway 1. Alain drives his convertible 10 km slower than Deleho.

How much longer will it take Alain to make the trip than Deleho?

 


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