4. (a) Simplify:
(i) 5x - 6y - x + 3y
(ii) w^8 + w^2
(iii) 5c^2d × 3c
(b) Work out the value of:
(i) 4x - 7 when x = 5,
(ii) \( \frac{p + 7}{3} \) when p = 2. - OCR - GCSE Maths - Question 4 - 2018 - Paper 1
Question 4
4. (a) Simplify:
(i) 5x - 6y - x + 3y
(ii) w^8 + w^2
(iii) 5c^2d × 3c
(b) Work out the value of:
(i) 4x - 7 when x = 5,
(ii) \( \frac{p + 7}{3} \) when p = 2.
Worked Solution & Example Answer:4. (a) Simplify:
(i) 5x - 6y - x + 3y
(ii) w^8 + w^2
(iii) 5c^2d × 3c
(b) Work out the value of:
(i) 4x - 7 when x = 5,
(ii) \( \frac{p + 7}{3} \) when p = 2. - OCR - GCSE Maths - Question 4 - 2018 - Paper 1
Step 1
(i) 5x - 6y - x + 3y
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Answer
To simplify the expression, we first combine like terms:
For the terms involving x: 5x - x = 4x.
For the terms involving y: -6y + 3y = -3y.
Therefore, the final simplified expression is:
4x−3y
Step 2
(ii) w^8 + w^2
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Answer
Since we cannot combine the terms, the final answer remains as:
w8+w2
Step 3
(iii) 5c^2d × 3c
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Answer
To find the product, we multiply the coefficients and combine the variables:
Coefficients: 5 × 3 = 15
Variables: c^2 × c = c^{2+1} = c^3.
Thus, the final answer is:
15c3d
Step 4
(i) 4x - 7 when x = 5
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Answer
Substituting x = 5 into the expression gives:
4(5)−7=20−7=13
Step 5
(ii) p + 7 when p = 2
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