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Multiply out and simplify - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

Question 3

Multiply out and simplify. 3(x + 2) - (x - 1)

Worked Solution & Example Answer:Multiply out and simplify - OCR - GCSE Maths - Question 3 - 2021 - Paper 1

Step 1

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Answer

Distribute the 3 in the expression:

$3(x + 2) = 3x + 6$

Now, rewrite the expression after distributing the negative sign in front of the second term:

$-(x - 1) = -x + 1$

So the expression becomes:

$3x + 6 - x + 1$

Step 2

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Answer

Next, combine the like terms:

$3x - x + 6 + 1 = (3x - x) + (6 + 1) = 2x + 7$

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