Problem solving with expressions and equations | Maths

Starter quiz

Which of the below accurately completes the sentence? An algebraic term __________
- must contain an $x$
- must contain a constant.
- contains at least one variable or unknown. ✓
- must have an equals sign after it.
Simplify $a+2b+c+b+2c+d$ by collecting like terms.
- $a+3b+3c+d$ ✓
- $a+2b^2+2c^2+d$
- $a+2bc+2bc+d$
- $a+4bc+d$
Pick a number, any number. Double it. Add 10. Halve your answer. Subtract your original number. What did you notice?
- There is no pattern.
- The answer is always the number you started with.
- The answer is always 5. ✓
- The answer is always 5 but it only works for whole numbers.
"Pick a number, any number. Double it. Add 10. Halve your answer. Subtract your original number". Which of the below expressions models this?
- $n \times 2 +10 \div 2-n$
- $(n \times 2 +10) \div 2-n$ ✓
What number comes next in this sequence? $n, n+1, n+2, n+3...$
- $4$
- $4n$
- $n+4$ ✓
- $4n+6$
Add any two consecutive whole numbers. Which of the below are true?
- The result is always odd. ✓
- The result is always "One more than double the smaller of your two numbers". ✓
- The result is always "One less than double the bigger of your two numbers". ✓
- The result is always even.
- The result can be odd or even.