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Solve. 4x + 3 = 13 (b) Multiply out and simplify - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

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Solve.-4x-+-3-=-13--(b)-Multiply-out-and-simplify-OCR-GCSE Maths-Question 2-2020-Paper 1.png

Solve. 4x + 3 = 13 (b) Multiply out and simplify. 5(2x + 3) + 2(x - 4)

Worked Solution & Example Answer:Solve. 4x + 3 = 13 (b) Multiply out and simplify - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Step 1

Solve. 4x + 3 = 13

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Answer

To solve for xx, we first isolate the term containing xx:

  1. Subtract 3 from both sides:

    4x+3−3=13−34x + 3 - 3 = 13 - 3

    which simplifies to:

    4x=104x = 10

  2. Next, divide both sides by 4:

    x=104=52x = \frac{10}{4} = \frac{5}{2}

Thus, the solution is: x=52x = \frac{5}{2}

Step 2

Multiply out and simplify. 5(2x + 3) + 2(x - 4)

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104 rated

Answer

To multiply out and simplify the expression:

  1. Start with the first term:

    5(2x+3)=10x+155(2x + 3) = 10x + 15

  2. Now, expand the second term:

    2(x−4)=2x−82(x - 4) = 2x - 8

  3. Combine both results:

    10x+15+2x−810x + 15 + 2x - 8

  4. Combine like terms:

    (10x+2x)+(15−8)=12x+7(10x + 2x) + (15 - 8) = 12x + 7

Thus, the simplified expression is: 12x+712x + 7

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