Solved examples of evaluating algebraic expressions Grade 6

📚 Quick Study Guide

🔢 Variable: A symbol (usually a letter like $x$ or $y$) that represents an unknown number. ➕ Expression: A combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division). 💡 Evaluating: Replacing the variables in an expression with specific numbers and then simplifying the expression. 🧮 Order of Operations: Remember to follow PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 📝 Example: To evaluate the expression $2x + 3$ when $x = 4$, substitute $4$ for $x$ to get $2(4) + 3 = 8 + 3 = 11$.

Practice Quiz

1. Question 1: Evaluate the expression $a + 5$ when $a = 7$.
   1. 2
   2. 12
   3. 35
   4. 75
2. Question 2: Evaluate the expression $3b$ when $b = 4$.
   1. 1
   2. 7
   3. 12
   4. 34
3. Question 3: Evaluate the expression $c - 2$ when $c = 9$.
   1. 7
   2. 11
   3. 18
   4. 92
4. Question 4: Evaluate the expression $10 / d$ when $d = 2$.
   1. 5
   2. 8
   3. 12
   4. 20
5. Question 5: Evaluate the expression $2e + 1$ when $e = 3$.
   1. 5
   2. 7
   3. 9
   4. 23
6. Question 6: Evaluate the expression $4f - 6$ when $f = 3$.
   1. 2
   2. 6
   3. 12
   4. 18
7. Question 7: Evaluate the expression $g^2$ when $g = 5$.
   1. 10
   2. 25
   3. 32
   4. 52