Dividing Expressions

Simplify each expression by dividing the coefficients and variables.

All objectives

Foundation

16 web questions

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  1. $6a \div 3$
  2. $8b \div 4$
  3. $10x \div 5$
  4. $12y \div 6$
  5. $14m \div 7$
  6. $18p \div 9$
  7. $20q \div 5$
  8. $24r \div 8$
  9. $15s \div 3$
  10. $21t \div 7$
  11. $16u \div 2$
  12. $27v \div 9$
  13. $12x^2 \div 3x$
  14. $18y^2 \div 6y$
  15. $20a^2 \div 5a$
  16. $28b^2 \div 7b$

Proficient

16 web questions

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  1. $18a^2 \div 3a$
  2. $24b^3 \div 6b$
  3. $30x^2 \div 5x$
  4. $42y^3 \div 7y^2$
  5. $36m^2 \div 9m$
  6. $45p^2 \div 5p$
  7. $48q^3 \div 6q$
  8. $56r^2 \div 8r$
  9. $63s^2 \div 9s$
  10. $72t^3 \div 8t^2$
  11. Fill in the blank: $\square x \div 4 = 5x$.
  12. Fill in the blank: $18y^2 \div \square y = 3y$.
  13. Fill in the blank: $24a^3 \div 6a = \square a^2$.
  14. Is $12x \div 3 = 4x$ correct?
  15. Is $20y^2 \div 5y = 4y$ correct?
  16. Which is greater: $24m \div 6$ or $18m \div 3$?

Excellence

18 web questions

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  1. A student says $12x \div 4 = 3$. Are they correct? Explain.
  2. A student says $18a^2 \div 6a = 3a$. Are they correct? Explain.
  3. A student says $20b^3 \div 5b = 4b^3$. Are they correct? Explain.
  4. $54x^3 \div 9x$
  5. $64y^4 \div 8y^2$
  6. $75m^3 \div 15m$
  7. $81p^2 \div 9p$
  8. $96q^4 \div 12q^2$
  9. Fill in the blank: $\square a^2 \div 5a = 7a$.
  10. Fill in the blank: $48b^3 \div \square b = 6b^2$.
  11. Fill in the blank: $63x^2 \div 9x = @@HTML0@@$.
  12. Which is greater: $36m^2 \div 6m$ or $45m^2 \div 9m$? Show enough working.
  13. Which is greater: $56r^3 \div 8r$ or $42r^2 \div 6$? Show enough working.
  14. Write two different division expressions that both simplify to $4x$.
  15. Find a missing divisor: $32y^2 \div \square y = 8y$.
  16. Find a missing dividend: $\square p^2 \div 7p = 6p$.
  17. Explain why $a^3 \div a = a^2$.
  18. A rectangle has area $24x^2$ and width $6x$. Write an expression for its length.