Factorising single brackets

Factorise each expression into a single bracket.

All objectives

Foundation

16 web questions

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  1. $x+3$
  2. $2a+8$
  3. $3y+6$
  4. $4m+12$
  5. $5p+10$
  6. $6b+18$
  7. $7c+14$
  8. $8d+16$
  9. $3x+9$
  10. $4y+20$
  11. $5n+15$
  12. $2q+12$
  13. $6r+24$
  14. $9t+27$
  15. $10u+30$
  16. $12v+36$

Proficient

18 web questions

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  1. $3x+12$
  2. $4a+20$
  3. $5y+25$
  4. $6m+18$
  5. $8p+12$
  6. $9b+27$
  7. $10c-20$
  8. $12d+18$
  9. $14x+21$
  10. $15y-30$
  11. $18m+24$
  12. $20n+35$
  13. Fill in the blank: $6a+18=6(\square)$.
  14. Fill in the blank: $12x-8=4(\square)$.
  15. Is $8y+24=8(y+3)$ correct?
  16. Is $10m+15=5(2m+3)$ correct?
  17. Which has the greater common factor: $12p+18$ or $12p+20$?
  18. Explain in one short sentence what stays inside the bracket when you factorise.

Excellence

18 web questions

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  1. Factorise $6x+15$.
  2. Factorise $8a-12$.
  3. Factorise $14y+21$.
  4. Factorise $18m-24$.
  5. Factorise $9p+12$.
  6. Factorise $16b-40$.
  7. Factorise $5x+10y$.
  8. Factorise $12a+18b$.
  9. Factorise $15m-20n$.
  10. Factorise $21p+14q$.
  11. A student says $12x+18=6(x+3)$. Are they correct? Explain.
  12. A student says $8a-20=4(2a-5)$. Are they correct? Explain.
  13. Fill in the blank: $\square(x+4)=7x+28$.
  14. Fill in the blank: $9y-\square=9(y-2)$.
  15. Which is fully factorised: $3(2x+4)$ or $6(x+2)$? Explain.
  16. Which does not belong: $4(x+3)$, $4x+12$, $2(2x+6)$, $4(x+2)$?
  17. Write an expression that factorises to $5(a-3)$.
  18. Explain why expanding can be used to check a factorised answer.