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SECTION B Problem Solving – Interpreting Relationships S1 If the output is 20, determine the input. S2 Explain in words what the rule 2x + 4 means.

June 4, 2026Mathematics

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Answer

\text{8}

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SECTION B: Problem Solving – Interpreting Relationships

Determine the input if the output is 20.

Given the rule: $y = 2x + 4$
Given the output: $y = 20$

Substitute the output value into the rule.
$20 = 2x + 4$
Subtract 4 from both sides of the equation.
$20 - 4 = 2x$ $16 = 2x$
Divide both sides by 2 to solve for $x$ .
$\frac{16}{2} = x$ $x = 8$
The input is $\boxed{\text{8}}$ .

Explain in words what the rule $2x + 4$ means.

The rule $2x + 4$ means to multiply a number by 2 and then add 4 to the result.

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