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Foundation November 2019 Paper 1 Q5

EduqasFoundationCurrent spec4 marksFunctions

5.

(a)

Here is a number machine.

\[\boxed{\text{INPUT}} \longrightarrow \boxed{\text{Multiply by 2}} \longrightarrow \boxed{\text{Subtract 5}} \longrightarrow \boxed{\text{OUTPUT}}\]
(i) The input is 10.
What is the output? [1]
(ii) The input is 4·5.
What is the output? [1]
(iii) The output is \(-3\).
What is the input? [1]
(b)

Here is a different number machine.

\[\boxed{\,x\,} \longrightarrow \boxed{\text{Divide by 2}} \longrightarrow \boxed{\text{Add 3}} \longrightarrow \boxed{\,y\,}\]

Circle the rule shown by this number machine. [1]

\(2x - 3 = y\)    \(\dfrac{x}{2} + 3 = y\)    \(x = \dfrac{y}{2} + 3\)    \(x = 2y - 3\)    \(\dfrac{x + 3}{2} = y\)