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# Maths Misconceptions

## Marking a question right or wrong isn't enough. Can you decide what mistake a student has made?

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Created by:
Michael Sinclair

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[Front]

What mistake was made with the following equation? x⁴=x+x+x+x
[Back]

Does not understand the meaning of exponents

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### Levels:

• 1) Chapter 1   View

### Questions:

20 questions
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 What mistake was made with the following equation? x⁴=x+x+x+x Does not understand the meaning of exponents
 What mistake was made with the following equation?
2(x+3)=2x+3 Does not understand the distributive property
 What mistake was made with the following equation? 4 + (3 + 2) = 7 + 6 Does not understand commutativity
 What mistake was made with the following equation? 3 + 3 × 5 = 6 × 5 Did not follow the order of operations
 What mistake was made with the following equation? 3(x - 6) + 5 = 3 x -3 Did not distribute properly
 What mistake was made with the following equation? (x-2)(x-2) = x2-4 Did not distribute properly
 What mistake was made with the following equation? (x-2)(x+2) = x2-4x-4 Did not distribute properly
 What mistake was made with the following equation? 1/2 × (2x - 8) = 4 x - 16 Mixed up half and double
 What mistake was made with the following equation? -6(x - 8) = -x - 48 Did not distribute properly
 What mistake was made with the following equation? x⁴=4x Does not understand the meaning of exponents
 What mistake was made with the following equation? -8 + 15 = -23 Did not know the effect of adding a positive integer
 What mistake was made with the following equation? -8 * (-9) = -72 Misunderstood the multiplication pattern
 What mistake was made with the following equation? 13 - 45 = 32 Did not know how to represent a negative difference
 What mistake was made with the following equation? 2.6 + 4.07=6.13 Did not use the places properly
 What mistake was made with the following equation? 4 - (-7) = -3 Did not subtract a negative number properly
 What mistake was made with the following equation? 2/3 ÷ 1/4 = 2/12 Mixed up multiplying and dividing fractions
 What mistake was made with the following equation? 1/2 of 46 is 92 Mixed up half and double
 What mistake was made with the following equation? 9 + 5 = 13 Started counting at 9
 What mistake was made with the following equation? 10 + 7 = 3 Subtracted by mistake
 What mistake was made with the following equation? 5 × 4 = 25 Miscounted number of groups