2(x - 1) + 3(x + 4) = 2x - 1 + 3x + 4 = 5x + 3 — Mathematics Part 1

Question 10 of 27beginner🔍 AnalyzeTrue / False2 marks

$2(x - 1) + 3(x + 4) = 2x - 1 + 3x + 4 = 5x + 3$

Correct Answer

False. The correct expansion is $2(x - 1) + 3(x + 4) = 2x - 2 + 3x + 12 = 5x + 10$ . The mistake is that the constant terms inside the brackets were not multiplied by their coefficients (2 and 3 respectively).

Exercise: Mind the Mistake, Mend the Mistake | Q: 2 | (Page Page 15)

For More Understanding

Explanation

The chapter shows that when distributing, each term inside the bracket must be multiplied by the coefficient outside. Here, $2(x - 1) = 2x - 2$ (not $2x - 1$ ) and $3(x + 4) = 3x + 12$ (not $3x + 4$ ).

Solution Steps

Expand: $2(x - 1) + 3(x + 4)$
$= 2x - 2 + 3x + 12$
$= 5x + 10$

Previous Next