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5 (a) Multiply out - OCR - GCSE Maths - Question 5 - 2017 - Paper 1

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5 (a) Multiply out. 3x(x + 2y) (b) Solve. (i) 7x = 28 (ii) \( \frac{x}{3} = 9 \)

Worked Solution & Example Answer:5 (a) Multiply out - OCR - GCSE Maths - Question 5 - 2017 - Paper 1

Step 1

Multiply out.

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Answer

To multiply out the expression, distribute 3x to both terms inside the parentheses:

3x(x+2y)=3x2+6xy3x(x + 2y) = 3x^2 + 6xy

Thus, the final answer is:

3x2+6xy3x^2 + 6xy

Step 2

Solve. (i) 7x = 28

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Answer

To solve for x, divide both sides by 7:

x=287=4x = \frac{28}{7} = 4

Step 3

Solve. (ii) \( \frac{x}{3} = 9 \)

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Answer

To solve for x, multiply both sides by 3:

x=9×3=27x = 9 \times 3 = 27

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