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6 (a) Simplify: (i) $2p + 5p - 3p$ (ii) $6j + 3k - j - 5k$ (b) Find the value of $10h + 6t$ when $h = 12$ and $t = 4$ - OCR - GCSE Maths - Question 6 - 2017 - Paper 1

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6---(a)-Simplify:---(i)--$2p-+-5p---3p$---(ii)--$6j-+-3k---j---5k$---(b)-Find-the-value-of-$10h-+-6t$-when-$h-=-12$-and-$t-=-4$-OCR-GCSE Maths-Question 6-2017-Paper 1.png

6 (a) Simplify: (i) $2p + 5p - 3p$ (ii) $6j + 3k - j - 5k$ (b) Find the value of $10h + 6t$ when $h = 12$ and $t = 4$. (c) Rearrange this formula to make... show full transcript

Worked Solution & Example Answer:6 (a) Simplify: (i) $2p + 5p - 3p$ (ii) $6j + 3k - j - 5k$ (b) Find the value of $10h + 6t$ when $h = 12$ and $t = 4$ - OCR - GCSE Maths - Question 6 - 2017 - Paper 1

Step 1

(i) Simplify: $2p + 5p - 3p$

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Answer

To simplify the expression, combine like terms:

2p+5p3p=(2+53)p=4p2p + 5p - 3p = (2 + 5 - 3)p = 4p

Thus, the simplified expression is: 4p.

Step 2

(ii) Simplify: $6j + 3k - j - 5k$

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Answer

For this expression, we will once again combine like terms:

6jj+3k5k=(61)j+(35)k=5j2k6j - j + 3k - 5k = (6 - 1)j + (3 - 5)k = 5j - 2k

Therefore, the simplified expression is: 5j - 2k.

Step 3

Find the value of $10h + 6t$ when $h = 12$ and $t = 4$.

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Answer

Substituting the values of hh and tt:

10h+6t=10(12)+6(4)=120+24=14410h + 6t = 10(12) + 6(4) = 120 + 24 = 144

Thus, the value is: 144.

Step 4

Rearrange this formula to make $d$ the subject: $e = f - 7d$

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Answer

To isolate dd, we first rearrange the equation:

  1. Move ff to the left side:
ef=7de - f = -7d
  1. Divide both sides by -7:
d=fe7d = \frac{f - e}{7}

Thus, the formula rearranged for dd is: d=fe7d = \frac{f - e}{7}.

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