🌟 Evaluating Algebraic Expressions 🌟

Hi my wonderful Grade 6 algebra stars! 🌟

Today we’re learning how to evaluate algebraic expressions — that means we take an expression with a variable (like x) and plug in a number for the variable to find the final answer. It’s like solving a puzzle! Let’s practice together! 🔢

1. What Does “Evaluate” Mean?

To evaluate = replace the variable with a number and calculate the result. Remember to follow BEDMAS!

Example: Evaluate 3x + 8 when x = 5

3 × 5 + 8 = 15 + 8 = 23

2. Step-by-Step Examples

Example 1: 4x − 7 when x = 6

4 × 6 = 24
24 − 7 = 17

Example 2: 2(y + 5) when y = 3

First: 3 + 5 = 8
Then: 2 × 8 = 16

Example 3: 5x + 2x when x = 4

5×4 + 2×4 = 20 + 8 = 28

3. Let’s Practice Together! 🎉

Question 1:

Evaluate 6x + 3 when x = 4

6×4 + 3 = 24 + 3 = 27 ⭐

Question 2:

Evaluate 2y − 9 when y = 8

2×8 − 9 = 16 − 9 = 7 ⭐

Question 3:

Evaluate 3(x + 4) when x = 5

3(5 + 4) = 3×9 = 27 ⭐

Question 4:

Evaluate 5x + 2x when x = 7

(5 + 2)×7 = 7×7 = 49 ⭐

Question 5 (Real Life):

The cost of a taxi ride is $5 plus $2 per kilometre. How much does a 9 km ride cost? (Use x for kilometres)

Expression: 5 + 2x
When x = 9: 5 + 2×9 = $23 ⭐

6. Real Life in Canada 🇨🇦

Taxi or Uber fare: fixed amount + cost per kilometre
Monthly phone bill: base fee + cost per GB used
Savings: weekly allowance + extra money for chores
Temperature: starting temperature plus or minus change

You are an Evaluating Expert! 🏆

Fantastic job today! You can now evaluate algebraic expressions by substituting values for variables.

This is a very important skill for the rest of algebra.

I’m so proud of how well you are doing!

Keep practicing with different numbers,
Mrs. Brenda ❤️

🔢✨📝