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Algebra Basics Introduction

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Algebra Basics Introduction worksheet preview
Algebra Basics Introduction

Algebra Basics Introduction

Algebra symbols and equations illustration

🔤 Part 1: Understanding Algebraic Terms

1. Match each algebraic term with its correct description:
1. 5x
2. 7
3. x
4. 3x + 2
A. Variable (letter)
B. Constant (number only)
C. Term with coefficient
D. Expression
2. Circle the like terms in each group:

Group A: 3x, 5y, 2x, 8, x

3x, 2x, x are like terms

5y, 8 are like terms

All terms are like terms

3. Fill in the blanks:

In the expression 4x + 7, the number 4 is called the __________ and the number 7 is called the __________.

➕ Part 2: Simplifying Expressions

4. Simplify these expressions by collecting like terms. Show each step:

a) 3x + 2x =

b) 5y + 3 + 2y =

c) 4a + 6 + a + 2 =

5. Use the distributive property to expand these expressions:

a) 2(x + 3) =

b) 4(y + 5) =

⚖️ Part 3: Solving Linear Equations

6. Solve these equations step by step. Think of them as balanced scales:

a) x + 7 = 15

b) 2x = 18

c) 3x + 4 = 19

7. Check your answer from question 6c by substituting back into the original equation:

🌟 Part 4: Real-World Applications

8. Sarah is buying school supplies. She buys x notebooks at $3 each and a pen for $2. Write an expression for the total cost:
9. If Sarah spent $14 in total, write and solve an equation to find how many notebooks she bought:
10. Choose the correct statement about algebra:

Variables can only be the letter x

Like terms have the same variable part

You can add any terms together

Constants always come first in expressions

💭 Part 5: Reflection

11. Explain in your own words what it means to "collect like terms":
12. What strategy helps you remember how to solve equations?
13. Circle one thing you found most helpful in today's lesson:

Using the balance scale analogy

Working step by step

Identifying like terms

Real-world examples

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