Test your skills: Algebra 1 verbal to algebraic expression questions

📚 Quick Study Guide

• 🔢 Variable: A symbol (usually a letter) that represents an unknown number.
• ➕ Addition: Keywords include 'sum,' 'plus,' 'increased by,' 'more than.'
• ➖ Subtraction: Keywords include 'difference,' 'minus,' 'decreased by,' 'less than.' Note the order matters!
• ✖️ Multiplication: Keywords include 'product,' 'times,' 'multiplied by,' 'of.'
• ➗ Division: Keywords include 'quotient,' 'divided by,' 'ratio,' 'per.'
• 🟰 Equals: Keywords include 'is,' 'are,' 'was,' 'will be,' 'gives,' 'results in.'
• 💡 'Less than' and 'more than': These phrases often reverse the order of terms. For example, '5 less than x' is written as $x - 5$.
• 📝 Consecutive Integers: Represent them as $n$, $n+1$, $n+2$, and so on.

Practice Quiz

1. What is the algebraic expression for "five times a number increased by two"?
1. $5x + 2$
2. $5(x + 2)$
3. $5x - 2$
4. $2x + 5$


2. What is the algebraic expression for "the quotient of a number and three"?
1. $3x$
2. $x - 3$
3. $\frac{x}{3}$
4. $\frac{3}{x}$


3. What is the algebraic expression for "seven less than twice a number"?
1. $7 - 2x$
2. $2x - 7$
3. $2(x - 7)$
4. $7 < 2x$


4. What is the algebraic expression for "the sum of a number and its square"?
1. $x + 2x$
2. $x + x^2$
3. $x^2 - x$
4. $2x^2$


5. What is the algebraic expression for "four times the sum of a number and one"?
1. $4x + 1$
2. $4(x + 1)$
3. $4x + 4x$
4. $x + 4$


6. What is the algebraic expression for "the difference between a number and six, all squared"?
1. $x^2 - 6$
2. $(x - 6)^2$
3. $x - 6^2$
4. $x^2 - 36$


7. What is the algebraic expression for "three more than the product of a number and two"?
1. $3 + 2 + x$
2. $3x + 2$
3. $2x + 3$
4. $2(x + 3)$