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Algebra Difficulty 1.1 Junior Find the answer Canada

If $2x + 6 = 16$ , the value of $x+4$ is

$7$
$8$
$9$
$15$
$13$

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution 1

Since $2x+6=16$ , then $\dfrac{2x+6}{2} = \dfrac{16}{2}$ and so $x+3 = 8$ .

Since $x+3 = 8$ , then $x+4 = (x+3)+1 = 8+1 = 9$ .

Solution 2

Since $2x+6=16$ , then $2x = 16 - 6 = 10$ .

Since $2x = 10$ , then $\dfrac{2x}{2} = \dfrac{10}{2}$ and so $x=5$ .

Since $x=5$ , then $x+4=5+4=9$ .

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.