Test Questions for Writing Expressions from Word Problems (Grade 4 Math)

📚 Quick Study Guide

• 🧮 Understand Keywords: Words like 'sum,' 'total,' 'difference,' 'product,' and 'quotient' indicate specific mathematical operations.
• ➕ Addition: 'Sum,' 'plus,' 'increased by,' 'more than' all suggest addition. Example: The sum of a number and 5 can be written as $x + 5$.
• ➖ Subtraction: 'Difference,' 'minus,' 'decreased by,' 'less than' indicate subtraction. Example: The difference between a number and 3 is $x - 3$.
• ✖️ Multiplication: 'Product,' 'times,' 'multiplied by' signal multiplication. Example: The product of a number and 2 is $2x$.
• ➗ Division: 'Quotient,' 'divided by,' 'shared equally' indicate division. Example: The quotient of a number and 4 is $\frac{x}{4}$.
• ✍️ Variables: Use letters like $x$, $y$, or $n$ to represent unknown numbers in your expressions.
• 💡 Order of Operations: Be mindful of the order in which operations are described in the word problem. Sometimes, you might need to use parentheses to group certain operations.

Practice Quiz

1. What expression represents “8 more than a number”?
   1. A. $8 - x$
   2. B. $8x$
   3. C. $x + 8$
   4. D. $\frac{x}{8}$
2. Which expression means “the product of 6 and a number”?
   1. A. $6 + x$
   2. B. $6 - x$
   3. C. $\frac{6}{x}$
   4. D. $6x$
3. What expression represents “a number decreased by 2”?
   1. A. $2 - x$
   2. B. $x + 2$
   3. C. $x - 2$
   4. D. $2x$
4. Which expression means “the quotient of a number and 5”?
   1. A. $5x$
   2. B. $x - 5$
   3. C. $x + 5$
   4. D. $\frac{x}{5}$
5. What expression represents “3 times a number, plus 1”?
   1. A. $3 + x + 1$
   2. B. $3(x + 1)$
   3. C. $3x + 1$
   4. D. $\frac{3x}{1}$
6. Which expression means “7 less than a number”?
   1. A. $7 - x$
   2. B. $x + 7$
   3. C. $x - 7$
   4. D. $7x$
7. What expression represents “the sum of a number and 10, divided by 2”?
   1. A. $\frac{x}{2} + 10$
   2. B. $\frac{x + 10}{2}$
   3. C. $\frac{x}{2} + \frac{10}{2}$
   4. D. $2(x + 10)$