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MathematicsYear 9en

📐 Solving Linear Equations with Brackets and Fractions

Master the techniques for solving linear equations that involve brackets and fractions, essential skills for algebraic problem-solving. **What you'll learn:** - Expand and simplify expressions with brackets - Solve equations containing brackets on one or both sides - Manipulate equations involving fractions - Apply inverse operations to isolate the variable - Verify solutions by substitution

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Questions in this quiz

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  1. Question 1

    Expand 2(x+3)2(x + 3).

  2. Question 2

    Solve x+5=12x + 5 = 12. The value of xx is ___.

  3. Question 3

    When solving 3(x−2)=93(x - 2) = 9, the first step is to divide both sides by 33.

  4. Question 4

    Solve 2x−4=102x - 4 = 10. The value of xx is ___.

  5. Question 5

    Solve 4(x+2)=204(x + 2) = 20.

  6. Question 6

    The equation x2=6\frac{x}{2} = 6 is solved by multiplying both sides by 22 to get x=12x = 12.

  7. Question 7

    Solve x+43=5\frac{x + 4}{3} = 5.

  8. Question 8

    To solve 2(x−3)=3(x+1)2(x - 3) = 3(x + 1), you should expand both sides first.

  9. Question 9

    Solve 2(x−3)=3(x+1)2(x - 3) = 3(x + 1).

  10. Question 10

    Solve 2x−45=2\frac{2x - 4}{5} = 2.