Expanding single brackets

Expand and simplify each expression.

All objectives

Foundation

16 web questions

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  1. $2(x+3)$
  2. $3(a+4)$
  3. $4(y+2)$
  4. $5(m+1)$
  5. $6(p+2)$
  6. $2(b+7)$
  7. $3(c+5)$
  8. $7(d+1)$
  9. $4(2x+1)$
  10. $3(2y+4)$
  11. $5(a+6)$
  12. $2(3m+2)$
  13. $4(n+5)$
  14. $3(4p+1)$
  15. $2(q+9)$
  16. $5(r+3)$

Proficient

18 web questions

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  1. $3(x+5)$
  2. $4(2a+3)$
  3. $5(y+7)$
  4. $2(4m+5)$
  5. $6(p+2)$
  6. $3(3b+4)$
  7. $7(c-2)$
  8. $4(2d-5)$
  9. $5(x-6)$
  10. $2(5y-3)$
  11. $-3(a+4)$
  12. $-2(m-5)$
  13. Fill in the blank: $4(x+3)=4x+\square$.
  14. Fill in the blank: $-2(y+6)= -2y\square$.
  15. Is $3(a+2)=3a+2$ correct?
  16. Is $5(x-1)=5x-5$ correct?
  17. Which is greater when expanded: $4(x+2)$ or $4x+2$?
  18. Explain in one short sentence what happens to every term inside the bracket.

Excellence

18 web questions

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  1. Expand and simplify $3(2x+5)$.
  2. Expand and simplify $4(3a-2)$.
  3. Expand and simplify $-2(y+7)$.
  4. Expand and simplify $-5(2m-3)$.
  5. Expand and simplify $6(p-q)$.
  6. Expand and simplify $-3(4b+c)$.
  7. Expand and simplify $2(3x-4)+5$.
  8. Expand and simplify $7-(2y+3)$.
  9. A student says $4(x+6)=4x+6$. Are they correct? Explain.
  10. A student says $-3(a-2)=-3a-6$. Are they correct? Explain.
  11. Fill in the blank: $\square(x+4)=6x+24$.
  12. Fill in the blank: $-4(y-\square)=-4y+20$.
  13. Which is greater: $3(2x+1)$ or $6x+1$? Explain.
  14. Which does not belong: $2(x+3)$, $2x+6$, $3(x+2)$, $4+2x$?
  15. Write a bracketed expression that expands to $5x+15$.
  16. Write a bracketed expression that expands to $-2a+8$.
  17. Explain why $k(3+2)$ and $3k+2k$ are equivalent.
  18. A rectangle has side lengths $x$ and $x+4$. Write and expand an expression for its perimeter.