Multiplying Expressions (with powers)

Multiply and simplify each expression, using powers where helpful.

All objectives

Foundation

18 web questions

Download PDF
  1. $x\times x$
  2. $y\times y$
  3. $2x\times x$
  4. $3a\times a$
  5. $4b\times b$
  6. $5m\times m$
  7. $x\times x\times x$
  8. $2y\times y\times y$
  9. $3p\times p\times p$
  10. $a^2\times a$
  11. $b\times b^2$
  12. $2c^2\times c$
  13. $4d\times d^2$
  14. $3x\times 2x$
  15. $5m\times 4m$
  16. $6p\times 3p$
  17. $2a^2\times 3a$
  18. $4b\times 2b^2$

Proficient

18 web questions

Download PDF
  1. $7x\times 2x$
  2. $3y^2\times y$
  3. $4a\times 5a^2$
  4. $6b^2\times 2b$
  5. $8m\times m\times m$
  6. $9p^2\times p$
  7. $2q\times 3q\times q$
  8. $5r^2\times 4r$
  9. $7s\times s^2$
  10. $10t\times 3t$
  11. Fill in the blank: $\square x\times x=9x^2$.
  12. Fill in the blank: $4y\times \square y=20y^2$.
  13. Fill in the blank: $3a^2\times 2a=\square a^3$.
  14. Is $2x\times x=2x$ correct?
  15. Is $3m\times 4m=12m^2$ correct?
  16. Which is greater: $3a\times 5a$ or $4a\times 4a$?
  17. Write $x\times x\times x\times x$ using a power.
  18. Write $6b\times b$ in simplified algebra form.

Excellence

18 web questions

Download PDF
  1. A student says $x\times x^2=x^2$. Are they correct? Explain.
  2. A student says $3a\times 4a=12a$. Are they correct? Explain.
  3. A student says $2m^2\times 5m=10m^3$. Are they correct? Explain.
  4. Fill in the blank: $\square p\times 3p^2=24p^3$.
  5. Fill in the blank: $5q^2\times \square q=35q^3$.
  6. Fill in the blank: $4r\times 2r\times r=\square r^3$.
  7. Complete: $6x^2\times 2x=@@HTML0@@$.
  8. Complete: $3y\times y\times 4y=@@HTML0@@$.
  9. Which is greater: $2a\times 7a^2$ or $3a^2\times 4a$? Show enough working.
  10. Which is greater: $5m\times 5m$ or $2m^2\times 12$? Show enough working.
  11. Write two different multiplications that both simplify to $12x^3$.
  12. Write two different multiplications that both simplify to $18a^2$.
  13. Find a missing factor: $\square\times 4b^2=28b^3$.
  14. Find a missing factor: $9c\times \square=27c^2$.
  15. Explain why $2x\times 3x\times x$ becomes $6x^2$ or $6x^3$.
  16. Compare $4p\times 3p^2$ with $5p^2\times 2p$. Which product is greater?
  17. Is $7k\times k^2=7k^3$ correct? Give a short reason.
  18. Is $4n^2\times 2n^2=8n^4$ correct? Give a short reason.