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Foundational Algebra Concepts

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Foundational Algebra Concepts worksheet preview

Foundational Algebra Concepts

Algebraic expressions and equations illustration

📚 Part 1: Algebraic Vocabulary and Notation

1. Circle the correct algebraic notation for "3 times a":

a3

3a

3 × a

a + 3

2. Identify each as an Expression or Equation:

a) 4x + 7 = 15 ________________

b) 3y - 2 ________________

c) 2a + 5b ________________

d) x + 8 = 12 ________________

3. In the expression 5x + 9, identify:

Variable: ________

Constant term: ________

Coefficient of x: ________

4. Write these expressions using correct algebraic notation:

a) 4 times b: ________

b) x divided by 3: ________

c) 2 times a plus 6: ________

🔢 Part 2: Substitution and Inequality Symbols

5. If a = 4 and b = 2, find the value of:

a) 3a + 5 = ________

Show your working:

b) 2a - b = ________

Show your working:

6. Fill in the correct inequality symbol (<, >, ≤, ≥):

a) 15 ____ 12

b) 8 ____ 8

c) 3 ____ 7

d) If x = 5, then 2x ____ 9

7. If y = 6, which statement is true? Circle your answer:

y + 4 < 9

y - 2 > 5

3y = 18

y ÷ 2 < 2

✏️ Part 3: Create and Explain

8. Write your own examples:

a) An algebraic expression with two variables:

b) An equation using the variable m:

9. Explain the difference between an expression and an equation:
10. Create a word problem that involves substituting x = 3 into an algebraic expression:

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