Adding and Subtracting Expressions (Like Terms)

Simplify each expression by collecting like terms.

All objectives

Foundation

16 web questions

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  1. Simplify $x+x$.
  2. Simplify $y+y+y$.
  3. Simplify $2a+a$.
  4. Simplify $5b-b$.
  5. Simplify $3c+2c$.
  6. Simplify $7d-3d$.
  7. Simplify $4m+m$.
  8. Simplify $6n-2n$.
  9. Simplify $8p+p$.
  10. Simplify $9q-4q$.
  11. Simplify $2r+5r$.
  12. Simplify $10s-s$.
  13. Simplify $3t+4t$.
  14. Simplify $12u-5u$.
  15. Simplify $5v+2v$.
  16. Simplify $11w-6w$.

Proficient

18 web questions

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  1. Simplify $3x+5x$.
  2. Simplify $9y-4y$.
  3. Simplify $7a+2a-3a$.
  4. Simplify $10b-b-2b$.
  5. Simplify $4c+6c+3$.
  6. Simplify $12d-5d+1$.
  7. Simplify $8m+2n$.
  8. Simplify $5p+3p+4p$.
  9. Simplify $14q-6q+2q$.
  10. Simplify $6r+r-4r$.
  11. Which has like terms: $3x+2y$ or $3x+2x$?
  12. Which cannot be simplified to one term: $4a+5a$ or $4a+5b$?
  13. Fill in the blank: $3k+\square k=8k$.
  14. Fill in the blank: $9m-\square m=4m$.
  15. Is $2x+5x=7$ correct?
  16. Is $6a-2a=4a$ correct?
  17. Explain in one short sentence why $3p+2q$ cannot become $5pq$.
  18. Explain in one short sentence why $4t+t=5t$.

Excellence

18 web questions

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  1. A student says $3x+2x=5x^2$. Are they correct? Explain.
  2. A student says $7a-3a=4$. Are they correct? Explain.
  3. Simplify $4x+3y+2x-y$.
  4. Simplify $9m-2n-5m+n$.
  5. Simplify $6p+4-p+7$.
  6. Simplify $12q-3+2q+8$.
  7. Simplify $5r+2s+3r-s$.
  8. Simplify $11t-4t+6-1$.
  9. Fill in the blank: $\square x+4x=13x$.
  10. Fill in the blank: $15y-\square y=6y$.
  11. Fill in the blank: $3a+2b+\square a=10a+2b$.
  12. Which is greater: $4x+6x$ or $7x+2x$?
  13. Which does not belong: $2m+3m$, $7m-2m$, $4m+5n$, $6m-m$?
  14. Write two different expressions that both simplify to $8k$.
  15. Write an expression with $x$ and $y$ terms that simplifies to $5x+2y$.
  16. Explain why $2a+3b+a$ simplifies to $3a+3b$.
  17. Is $5c+2+3c+4$ equal to $8c+6$? Explain briefly.
  18. A perimeter is $3x+2+4x+5$. Simplify the expression.