Forming expressions

Write an algebraic expression for each description.

All objectives

Foundation

16 web questions

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  1. Write an expression for $n$ plus $4$.
  2. Write an expression for $x$ minus $7$.
  3. Write an expression for $3$ times $y$.
  4. Write an expression for $m$ divided by $5$.
  5. Write an expression for $a$ plus $10$.
  6. Write an expression for $2$ times $p$.
  7. Write an expression for $q$ minus $3$.
  8. Write an expression for $r$ divided by $2$.
  9. Write an expression for $8$ more than $b$.
  10. Write an expression for $6$ less than $c$.
  11. Write an expression for double $k$.
  12. Write an expression for half of $t$.
  13. Write an expression for $z$ increased by $9$.
  14. Write an expression for $w$ decreased by $1$.
  15. Write an expression for $4$ multiplied by $h$.
  16. Write an expression for $j$ shared equally between $3$ people.

Proficient

16 web questions

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  1. Write an expression for $5$ more than $x$.
  2. Write an expression for $4$ less than $y$.
  3. Write an expression for three times $n$ plus $2$.
  4. Write an expression for $7$ added to $2m$.
  5. Write an expression for $p$ divided by $4$, then add $1$.
  6. Write an expression for the sum of $a$ and $b$.
  7. Write an expression for the difference between $t$ and $6$.
  8. Write an expression for the product of $3$ and $q$.
  9. Write an expression for the quotient of $r$ and $8$.
  10. Which expression matches "$4$ more than $k$": $k+4$ or $4k$?
  11. Which expression matches "double $s$ then subtract $5$": $2s-5$ or $2(s-5)$?
  12. Complete: if the variable is $m$, then "$m$ plus $9$" is .
  13. Complete: if the variable is $x$, then "$3$ times $x$" is .
  14. A student writes "$5$ less than $p$" as $5-p$. Are they correct?
  15. A student writes "$4$ times $y$" as $4+y$. Are they correct?
  16. Explain in one short sentence why $3x$ is usually written instead of $3\times x$.

Excellence

16 web questions

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  1. Write an expression for $2$ more than three times $x$.
  2. Write an expression for $5$ less than double $y$.
  3. Write an expression for half of $n$ plus $7$.
  4. Write an expression for $4$ multiplied by the sum of $p$ and $3$.
  5. Write an expression for one third of $m$ minus $2$.
  6. Which is correct for "$6$ less than $a$": $a-6$ or $6-a$? Explain.
  7. Which is correct for "the sum of $x$ and $5$, then doubled": $2(x+5)$ or $2x+5$? Explain.
  8. Which does not belong: $3x$, $x+x+x$, $x^3$, $2x+x$?
  9. Complete: a possible expression for "$8$ more than half of $t$" is .
  10. Complete: a possible expression for "triple $k$, then subtract $1$" is .
  11. A student says $2a+3$ means "double the sum of $a$ and $3$". Are they correct? Explain.
  12. A student says $4(n-1)$ and $4n-1$ mean the same thing. Are they correct? Explain.
  13. Write an expression for the perimeter of a rectangle with width $w$ and length $w+2$.
  14. Write an expression for the total cost of $x$ pens at $3$ dollars each and one book costing $5$ dollars.
  15. Write an expression for the number of wheels on $b$ bikes and $s$ scooters if each has $2$ wheels.
  16. Explain why an expression can have a value even when it is not an equation.