Write Expressions With Numbers and Variables - 6th Grade Math

1. What does the phrase "$4$ divided by the sum of $x$ and $y$" translate to as an expression?

   $\frac{4}{x + y}$. $4$ is the numerator, sum is the denominator.

2. What does the phrase "the quotient of $7$ and a number $n$" translate to as an expression?

   $\frac{7}{n}$. First number mentioned is the numerator.

3. What does the phrase "$3$ times the sum of a number $x$ and $5$" translate to as an expression?

   $3(x + 5)$. Multiply $3$ by the entire sum in parentheses.

4. What is the algebraic expression for "three times the sum of $a$ and $2$"?

   $3(a + 2)$. Parentheses show to add first before multiplying.

5. What does the variable $x$ represent in an algebraic expression?

   $x$ represents an unknown number. Variables stand for unknown values in math.

6. What does the phrase "$7$ less than a number $n$" translate to as an expression?

   $n - 7$. "Less than" means subtract from the original number.

7. What operation does the expression $x + 7$ record?

   Addition of $7$ to $x$. The plus sign shows we're adding two values.

8. What does the phrase "a number $n$ less than $7$" translate to as an expression?

   $7 - n$. "$n$ less than $7$" means $7$ minus $n$.

9. What does the expression $2(x + 5)$ record?

   $2$ times the quantity $(x + 5)$. Parentheses show to add first, then multiply by $2$.

10. What does the phrase "$7$ decreased by a number $n$" translate to as an expression?

    $7 - n$. Start with $7$ and subtract $n$ from it.

11. What is the algebraic expression for "the sum of $n$ and $9$"?

    $n + 9$. "Sum" means addition in math language.

12. What does the phrase "$5$ more than twice a number $x$" translate to as an expression?

    $2x + 5$. First double $x$, then add $5$.

13. What operation does the expression $p \div 5$ record?

    Division of $p$ by $5$. The division symbol shows we're splitting $p$ into $5$ equal parts.

14. What does the phrase "half of a number $x$" translate to as an expression?

    $\frac{x}{2}$. "Half" means divide by $2$.

15. What operation does the expression $3n$ record?

    Multiplication of $3$ and $n$. Writing numbers next to variables means multiply.

16. What is the algebraic expression for "$4$ more than $y$"?

    $y + 4$. "More than" means add to the variable.

17. What is the algebraic expression for "$5$ decreased by the square of $n$"?

    $5 - n^2$. "Decreased by" means subtract from $5$.

18. What is the algebraic expression for "the product of $7$ and $t$"?

    $7t$. "Product" means multiplication result.

19. What is the algebraic expression for "the sum of $3a$ and $2$"?

    $3a + 2$. Add the products: $3$ times $a$ plus $2$.

20. What does the expression $n^2$ mean?

    $n$ multiplied by itself, $n \cdot n$. The exponent $2$ means multiply $n$ by itself.

21. What is the algebraic expression for "the difference of $y$ and $4$"?

    $y - 4$. "Difference" means subtraction in math.

22. What does the phrase "the product of $5$ and the difference of $x$ and $2$" translate to as an expression?

    $5(x - 2)$. Multiply $5$ by the entire difference.

23. What is the algebraic expression for "$q$ divided by $8$"?

    $\frac{q}{8}$. "Divided by" puts $q$ in numerator, $8$ in denominator.

24. What does the expression $\frac{m}{4}$ record?

    $m$ divided by $4$. The fraction bar represents division.

25. What does the phrase "$7$ more than a number $n$" translate to as an expression?

    $n + 7$. "More than" means add to the original number.

26. What is the algebraic expression for "$6$ less than twice $x$"?

    $2x - 6$. First double $x$ to get $2x$, then subtract $6$.

27. What operation does the expression $12 - y$ record?

    Subtraction of $y$ from $12$. The minus sign shows we're taking away $y$ from $12$.

28. What does the phrase "twice the quantity $x$ plus $5$" translate to as an expression?

    $2(x + 5)$. "Quantity" indicates grouping with parentheses.

29. What does the phrase "the sum of $x$ and $y$, divided by $4$" translate to as an expression?

    $\frac{x + y}{4}$. Add first, then divide the sum by $4$.

30. What does the phrase "a number $n$ decreased by $7$" translate to as an expression?

    $n - 7$. "Decreased by" means subtraction.

31. What does the phrase "the quotient of a number $n$ and $7$" translate to as an expression?

    $\frac{n}{7}$. "Quotient" means division; $n$ divided by $7$.

32. What is the algebraic expression for "$6$ less than the product of $2$ and $x$"?

    $2x - 6$. "Product" means multiply, then subtract $6$.

33. What does the phrase "the sum of $3$ times a number $x$ and $5$" translate to as an expression?

    $3x + 5$. First multiply $3$ and $x$, then add $5$.

34. What does the phrase "the difference of $5$ and a number $x$" translate to as an expression?

    $5 - x$. Subtract in the order given: $5$ minus $x$.

35. What does the phrase "twice a number $x$" translate to as an expression?

    $2x$. "Twice" means multiply by $2$.

36. What does the phrase "the difference of a number $x$ and $5$" translate to as an expression?

    $x - 5$. "Difference" means subtraction in order mentioned.

37. What does the phrase "the product of $7$ and a number $n$" translate to as an expression?

    $7n$. "Product" means multiplication.

38. What is the algebraic expression for "$6$ less than $x$"?

    $x - 6$. "Less than" means subtract from the number mentioned.

39. What does the phrase "a number $n$ increased by $7$" translate to as an expression?

    $n + 7$. "Increased by" means addition.

40. What is the algebraic expression for "$8$ divided by $q$"?

    $\frac{8}{q}$. Order matters: $8$ is divided by $q$.

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