Solved Examples: Comparing Algebraic Expressions for Grade 5

📚 Quick Study Guide

• 🔢 Variables: Letters (like $x$ or $y$) that represent unknown numbers.
• ➕ Expressions: Combinations of numbers, variables, and operations (like addition or subtraction).
• 🤝 Comparing Expressions: Finding out if two expressions are equal or which one is greater.
• ✨ Like Terms: Terms with the same variable raised to the same power (e.g., $3x$ and $5x$ are like terms).
• ➗ Simplifying Expressions: Combining like terms to make an expression shorter (e.g., $3x + 5x = 8x$).
• 💡 Substitution: Replacing a variable with a number to evaluate the expression.
• ⚖️ Equality: Two expressions are equal if they have the same value after substitution.

Practice Quiz

1. Which expression is equivalent to $2x + 3x$?
1. A. $5x$
2. B. $6x$
3. C. $x^2$
4. D. $5$
2. Simplify the expression: $4y + 2y - y$
1. A. $5y$
2. B. $6y$
3. C. $7y$
4. D. $4y$
3. If $x = 3$, what is the value of $2x + 1$?
1. A. $5$
2. B. $7$
3. C. $6$
4. D. $8$
4. Which expression is greater if $y = 2$: $3y$ or $y + 5$?
1. A. $3y$
2. B. $y + 5$
3. C. They are equal
4. D. Cannot be determined
5. Combine the like terms: $5a + 3b - 2a + b$
1. A. $3a + 4b$
2. B. $7a + 4b$
3. C. $3a + 2b$
4. D. $7a + 2b$
6. What is the value of the expression $4 + 2z$ when $z = 5$?
1. A. 10
2. B. 12
3. C. 14
4. D. 16
7. Which expression equals $10$ if $a = 2$ and $b = 3$?
1. A. $2a + b$
2. B. $a + 2b$
3. C. $a \times b$
4. D. $3a - b$