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, start by combining like terms:
Combine the x terms: 5x−x=4x
Combine the y terms: −6y+3y=−3y
Thus, the simplified expression is:
4x−3y
Step 2
(ii) w^8 + w^2
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Answer
Since there are no like terms to combine, we present the result as:
w8+w2
Step 3
(iii) 5c^2d × 3c
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Answer
To simplify the expression, multiply the coefficients and combine the variables using the properties of exponents:
Coefficients: 5×3=15
Variables: c2×c=c2+1=c3
Thus, the simplified expression is:
15c3d
Step 4
(i) 4x - 7 when x = 5
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Answer
Substituting x=5 into the expression:
4(5)−7=20−7=13
Step 5
(ii) p + 7 when p = 2
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