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AQA GCSE · Question 20.1 · Algebra
Complete this number machine so that y = 4x + 5
Complete this number machine so that y = 4x + 5
How to approach this question
The equation is y = 4x + 5. This means you start with x, multiply it by 4, and then add 5 to get y.
1. The first operation on x is multiplication by 4. So, the first box is "× 4".
2. The second operation is adding 5. So, the second box is "+ 5".
Full Answer
The first box should be "× 4" and the second box should be "+ 5".
A number machine shows a sequence of operations. The input is x and the output is y. The equation y = 4x + 5 describes the relationship between them.
Following the order of operations (BIDMAS/PEMDAS), to calculate y from x, you would first multiply x by 4 (to get 4x) and then add 5.
Therefore, the number machine must perform these operations in this order.
- The first box after the input `x` should be the multiplication: **× 4**.
- The second box should be the addition: **+ 5**.
Common mistakes
✗ Getting the order of operations wrong, putting "+ 5" first and then "× 4". This would represent the expression y = 4(x + 5).
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