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Exam (elaborations)

College Algebra Question Bank

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2025/2026 Written for academic year
Institution College Algebra
Course College Algebra
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This document is a comprehensive College Algebra Question Bank designed to support undergraduate and pre-college students in mastering core algebra concepts. It includes a wide range of carefully structured practice problems that progress from basic to advanced difficulty levels, making it suitable for self-study, classroom use, homework practice, and exam preparation. The question bank covers key topics such as linear equations and inequalities, polynomials, factoring techniques, rational expressions, radicals, exponents, quadratic equations, functions and graphs, systems of equations, logarithmic and exponential functions, and selected word problems. Each section is organized by topic to help students focus on specific skills and build confidence step by step. Many problems include clear, step-by-step solutions to help students understand problem-solving methods and common algebraic techniques. The document is ideal for college instructors, tutoring centers, and students who want additional practice material aligned with standard college algebra curricula. Overall, this question bank serves as a reliable academic resource to strengthen algebraic foundations and improve problem-solving accuracy and exam performance.

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Name: Date:


Algebra Word Problems
Solve.
1. One-fourth of a number is 17. Find the number.


2. A number increased by 82 is 153. Find the number.


3. Seventy-two less than a number is 93. Find the number.


4. One-fourth of a number is 23. Find the number.


5. Two-fifths of a number is 30. Find the number.


6. A number diminished by 79 is 36. Find the number.


7. Seventy-five more than a number is 133. What is the number?


8. The sum of a number and 12 is 79. Find the number.


9. The sum of a number and 29 is 89. Find the number.


10. One hundred more than a number is 156. What is the number?


11. Two-thirds of a number is 24. Find the number.


12. Twenty-nine more than a number is 128. What is the number?




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