Test your knowledge: equivalent expressions online quiz for 6th grade

📚 Quick Study Guide

• 🧮 Definition: Equivalent expressions are expressions that have the same value for all possible values of the variable(s).
• ➕ Combining Like Terms: Simplify expressions by combining terms with the same variable and exponent. Example: $2x + 3x = 5x$
• ✖️ Distributive Property: Multiply a term by each term inside parentheses. Example: $a(b + c) = ab + ac$
• 💡 Factoring: Extracting the Greatest Common Factor (GCF). Example: $4x + 6 = 2(2x + 3)$
• 📝 Substitution: Replace variables with numbers to check if two expressions are equivalent.
• 📐 Order of Operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
• 🔑 Key Strategy: Simplify each expression to its simplest form and compare.

🧪 Practice Quiz

1. What expression is equivalent to $3(x + 2)$?
   1. $3x + 2$
   2. $3x + 6$
   3. $x + 6$
   4. $6x$
2. Which expression is equivalent to $4y + 2y - y$?
   1. $5y$
   2. $6y$
   3. $7y$
   4. $8y$
3. Simplify: $5a + 3 - 2a + 1$
   1. $3a + 2$
   2. $7a + 4$
   3. $3a + 4$
   4. $7a + 2$
4. Which expression is equivalent to $2(m + 3) + m$?
   1. $2m + 3$
   2. $3m + 6$
   3. $3m + 3$
   4. $2m + 6$
5. What is the equivalent expression for $6b - (b + 2)$?
   1. $5b - 2$
   2. $7b - 2$
   3. $5b + 2$
   4. $7b + 2$
6. Find the equivalent expression for $7c + 2(c - 1)$?
   1. $9c - 2$
   2. $5c - 2$
   3. $9c + 2$
   4. $5c + 2$
7. Which of the following is equivalent to $8 + 2(x - 4)$?
   1. $2x$
   2. $2x + 16$
   3. $2x - 16$
   4. $10x - 40$