Checkpoint: patterns, factors and checking

A square is drawn on a side of 7 + 3. What is its area?

• 100
• 58, which is 49 and 9
• 21, because the two parts are multiplied

What does 96 × 96 come to, using the best pattern?

• 9,216, from 10,000 − 800 + 16
• 10,816, from 10,000 + 800 + 16
• 9,984, from 10,000 − 16

What is the largest thing that can be taken out of 8p² − 12p?

• `4p`
• `8p`, because 8 is the larger coefficient
• 4, because 8 and 12 share a 4 and the letters differ

Sweets cost ₹12 each. Delivery is ₹30. What is the bill for n sweets?

• `12n + 30`
• `42n`, because everything is charged per sweet
• `12(n + 30)`, because delivery is added to each sweet

Two forms both give 4 when the letter is 2. What does that settle?

• Nothing on its own, because two forms can meet at one value
• That the two forms are the same, because they agreed
• That the two forms are different, because one test is never enough