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Intermediate Algebra Daily Practice

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Intermediate Algebra Daily Practice worksheet preview

Intermediate Algebra Daily Practice

Algebra worksheet illustration

🔢 Part 1: Number Sense & Operations

1. Evaluate each expression. Show your work in the box below.

a.   (−3/4) + (5/6) = ___________     b.   (−2)³ × (1/4) = ___________     c.   √144 − 2⁴ = ___________

2. Circle ALL values that are rational numbers.

√9

√5

0.333...

π

−7/2

3. List all factors of 48, then identify the GCF of 48 and 36.

Factors of 48: _____________________________________________

GCF of 48 and 36: ___________

4. Which expression is equivalent to 3⁻² × 3⁵?

3¹⁰

3⁷

✏️ Part 2: Simplifying & Solving

5. Simplify each algebraic expression by combining like terms.

a.   4x² − 3x + 7 + 2x² + 5x − 1 = _______________________________

b.   3(2x − 4) − (x + 6) = _______________________________

6. Solve each equation for x. Show all steps.

a.   5x − 8 = 2x + 13

b.   (x/3) + 4 = −2

a. x = ___________      b. x = ___________

7. The LCM of two numbers is 60 and their GCF is 4. One of the numbers is 12. What is the other number? Show your reasoning.

Answer: ___________

8. A rectangle has a length of (3x + 5) feet and a width of 4 feet. Write a simplified expression for the perimeter, then find the perimeter when x = 3.

Perimeter expression: _____________________________     When x = 3: ___________ feet

💡 Part 3: Concept Check

9. Explain in your own words: What does it mean to simplify an algebraic expression? Give one example.
10. A student says that √36 + √64 = √100 because 36 + 64 = 100. Is the student correct? Explain why or why not.

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