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Classifying Mathematical Statements

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Classifying Mathematical Statements

Mathematical symbols and expressions illustration

📚 Part 1: Identify the Type

I can identify and classify expressions, equations, and inequalities.

Remember: Expression (no = or inequality sign), Equation (has =), Inequality (has >, <, ≥, or ≤)

1. Classify each mathematical statement. Circle your answer.

a) 3x + 7

Expression

Equation

Inequality

b) 2x - 5 = 11

Expression

Equation

Inequality

c) 4x + 3 > 15

Expression

Equation

Inequality

d) 6y - 8 ≤ 20

Expression

Equation

Inequality

2. Which statements below are equations? Check all that apply.

5x + 2 = 17

3x - 4

x + 9 = 2x - 1

7x + 5 < 26

✏️ Part 2: Real-World Situations

I can write expressions, equations, and inequalities from real-world situations.

3. Sarah has $25 to spend on notebooks. Each notebook costs $4. Write a mathematical statement for each situation below:

a) An expression for the cost of buying n notebooks:

b) An equation showing when Sarah spends exactly all her money:

c) An inequality showing how many notebooks Sarah can afford:

4. A taxi charges a $3 base fare plus $2 per mile. If the total cost is $15, write an equation to find the number of miles traveled.
5. You need at least 80 points to pass a test. If you currently have 65 points and each remaining question is worth 5 points, write an inequality to show how many more questions you need to answer correctly.

🎯 Part 3: Explain Your Thinking

I can explain the differences between expressions, equations, and inequalities using examples.

6. Explain in your own words: What is the main difference between an expression and an equation?
7. Create your own example of each type and explain why it fits that category:

Expression: _________________ because _________________________________

Equation: _________________ because _________________________________

Inequality: _________________ because _________________________________

8. Extension Challenge: Write a real-world scenario that could be represented by the inequality 3x + 5 ≤ 20.

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