The starter and exit quiz of the lesson “Problem solving with expressions and equations”, from the unit “Expressions and equations” (Year 7 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Which of the below accurately completes the sentence? An algebraic term __________
Simplify a+2b+c+b+2c+d by collecting like terms.
Pick a number, any number. Double it. Add 10. Halve your answer. Subtract your original number. What did you notice?
"Pick a number, any number. Double it. Add 10. Halve your answer. Subtract your original number". Which of the below expressions models this?
What number comes next in this sequence? n, n+1, n+2, n+3...
Add any two consecutive whole numbers. Which of the below are true?
n + (n+1) + (n+2) is an algebraic __________ for the sum of three consecutive numbers.
Some ink has spilled onto this addition pyramid. What would the expression in the top box of the pyramid be?
If we were working on a proof about six consecutive whole numbers, which expressions would we use?
We can express the number trick, "Pick a number. Multiply it by 6. Add 15. Divide by 3. Subtract 5" algebraically as (6n+15)\div3-5. What does it prove?
Sam writes n+(n+1)+(n+2) \equiv 3n+3 \equiv 3\times n+1 and says, "I have proven that the sum of three consecutive numbers is one more than a multiple of 3". Where is their error?
Which of the below algebraic expressions supports the proof that the sum of two consecutive whole numbers is always odd?
