Solving two-step linear equations using addition and subtraction: ax + b = c

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  1. Find x in the equation modelled by each diagram.

    1. Solving two-step linear equations using addition

    2. Solving two-step linear equations using addition and subtraction
  2. Find x in the equation modelled by algebra tiles.

    1. model and solve two-step linear equations addition and subtraction

    2. Solving two-step linear equations using addition and subtraction
  3. Solve.
    1. 7x+9=217x + 9 = 21
    2. 982x=1498 - 2x = 14
    3. 35=6x+49 - 35 = 6x + 49
    4. 4x11=109 - 4x - 11 = 109
  4. The total admission fee of an aquarium for 30 students is $240 after a group discount of $3 for each person. What is the original admission fee before the discount?
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    Topic Notes
    In this section, we will look at linear equation questions which involve two kinds of operations: addition and subtraction. We will deal with two-step linear equations modeled by diagrams as a start. Then, we will learn how to solve algebraic equations and related word problems.