algebra

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School

University of Houston *

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1310

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Mathematics

Date

Feb 20, 2024

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docx

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2

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Algebra Quiz: 1. Simplify the expression: 2x + 3y - 4x + 5y. Answer: -2x + 8y 2. Solve for x: 4(x + 2) = 12. Answer: x = 1 3. Multiply: (3x + 4)(2x - 5). Answer: 6x^2 - 7x - 20 4. Solve the system of equations: 2x + y = 5, 3x - 2y = -4. Answer: x = 3, y = -1 5. Factor completely: x^2 - 9. Answer: (x + 3)(x - 3) 6. Solve for x: 3(x - 4) = 2(x + 1). Answer: x = 17 7. Simplify the expression: 5y - (2y^2 + 3) + 3y. Answer: -2y^2 + 8y - 3 8. Solve the equation for x: 5x - 7 = 2x + 5. Answer: x = 4 9. Multiply: (2x + 4)(3x - 2). Answer: 6x^2 + 8x - 8 10.Solve the inequality: 2x + 5 > 11. Answer: x > 3 11. Simplify: (x - 3)(x + 3) - 2x(x + 4). Answer: -2x^2 - 2x - 9 12. Solve the system of equations: 3x + 2y = 8, 2x - y = 1. Answer: x = 2, y = 3 13. Factor completely: x^2 - 4x - 5. Answer: (x - 5)(x + 1) 14.Solve for x: 2(x - 5) = x + 3. Answer: x = 11 15. Simplify the expression: 4(2x + 3) - 5(3x - 2). Answer: -3x + 23 16. Solve the equation for x: 3(x + 4) = 2(x + 7). Answer: x = -10 17. Multiply: (3x - 2)(4x + 1). Answer: 12x^2 + 5x - 2 18.Solve the inequality: 3 - 2x < 7. Answer: x > -2 19. Simplify: (5x - 2)^2. Answer: 25x^2 - 20x + 4 20. Solve the system of equations: 2x + y = 7, 3x - 2y = -4. Answer: x = 2, y = 3 21. Factor completely: 4x^2 - 9. Answer: (2x + 3)(2x - 3) 22. Solve for x: 2(x - 3) + 5 = 4(2 - x) - 1. Answer: x = 1 23. Simplify the expression: 7y - (3y^2 + 2) + 4y. Answer: -3y^2 + 11y - 2 24. Solve the equation for x: 2x - 5 = x + 3. Answer: x = 8 25. Multiply: (x + 3)(2x - 4). Answer: 2x^2 + 2x - 12 26. Solve the inequality: 3x + 2 > 10. Answer: x > 2 27. Simplify: (x - 4)(x + 4) - 3x(x + 2). Answer: -2x^2 - 10x - 16 28. Solve the system of equations: 4x + 5y = 17, 6x - 3y = 9. Answer: x = 2, y = 1 29. Factor completely: x^2 + 4x + 4. Answer: (x + 2)(x + 2) or (x + 2)^2 30. Solve for x: 5(x - 2) = 3(x + 1). Answer: x = 1
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