University:
Jackson College
Course:
MAT-039 | Beginning Algebra
Academic year:

2023
Views:

289

Pages:

59
Author:

procencik2tgj

Math 10C Final Exam Review Write each of the following as a product of prime factors. 1. 50 2. 88 3. 250 4. 270 5. 792 First write the following as a product of prime factors. Then state whether the result is a perfect cube root, perfect square root, or neither. 6. 216 7. 525 8. 441 9. 1296 10. 27 Choose the single best answer for each of the following. For questions 25-35, write each of those questions in simplest mixed radical form. 11. √81 = a) 2 b) √3 c) 3 d) 3√3 e) √40.5 12. Simplify: √75 a) 3√5 b) 5√3 c) 5√15 d) 15√5 e) 25√3 13. Simplify: 5√80 a) 4√5 b) 16√5 c) 20√4 d) 20√5 e) 30√5 Math 10C Final Exam Review 14. Simplify: 3√75 a) 5√3 b) 15√3 c) 15√5 d) 25√3 e) 30√3 15. Simplify: √30 a) 2√3 b) 2√5 c) 2√15 d) 2√10 e) 5√5 16. Simplify: √54 a) 3√2 b) 3√6 c) 3√12 d) 9√6 e) 27√2 17. Write 4√3 as a complete radical. a) √7 b) √12 c) √13 d) √19 e) √48 18. Write 5√2 as a complete radical. a) √20 b) √29 c) √45 d) √50 e) √125 19. Write 3√2 as a complete radical. a) √5 b) √6 c) √12 d) √18 e) √36 20. Written as a complete radical, 4√2 = √_. a) 24 b) 32 c) 48 d) 96 e) 128 21. Written as a complete radical, 2√3 = √_. a) 12 b) 24 c) 32 d) 48 e) 128 22. Which whole number is closest to √75? a) 7 b) 8 c) 9 d) 37 e) 38 23. Which whole number is closest to √69? a) 7 b) 8 c) 9 d) 34 e) 35 Math 10C Final Exam Review 1/6/2014 95. Simplify: (-2a²b) × (4a⁵b²) a) -8a⁷b³ b) -8a¹⁰b² c) -8(ab)¹⁰ d) 16a⁷b³ e) 16a¹⁰b² 96. Multiply: 4(3x² - 4x + 5) a) 12x⁸ - 16x⁴ + 20 b) 36x² - 16x + 20 c) 12x² - 4x + 20 d) 12x² - 16x + 20 e) 12x² - 16x + 5 97. Multiply: 3x⁴(4x⁴ - x⁵ + 2) a) 7x⁸ - 3x⁹ + 6x⁴ b) 12x⁸ - 3x⁹ + 6x⁴ c) 12x⁴ - x⁹ + 6x⁴ d) 12x¹⁶ - 3x²⁰ + 6x⁴ e) 12x¹⁶ - 3x²⁰ + 6 98. Simplify: 5x⁴y³(3x² - 4xy) a) 15x⁶y³ - 20x⁵y⁴ b) 8x⁸y³ - 9x⁵y³ c) 15x⁸y³ - 20x⁵y⁴ d) 15x⁶y³ - 20x⁵y⁴ e) 11x⁸y³ - 20x⁵y⁴ 99. The diagram could visually describe which of the following products? a) (2x + 5)(2x + 3) b) (2x + 5)(3x + 3) c) (6x + 5)(x + 3) d) (3x + 1)(2x + 15) e) (3x + 15)(2x + 1) 100. The diagram could visually describe which of the following products? Math 10C Final Exam Review 1/6/2014 101. Expand and simplify: (x + 5)(x - 3) a) x² - 2x - 15 b) x² + 2x - 15 c) x² + 2x + 15 d) x² - 2x + 15 e) 4x + 15 102. Expand and simplify: (2x + 5)(x - 3) a) 2x² - x - 15 b) 2x² - 2x - 15 c) 2x² + x - 15 d) 2x² + 2x - 15 e) 4x - 15 103. Given (2x + 5)(x - 3) = Ax² + Bx + C, what is the value of B? a) -1 b) -2 c) -1 d) 1 e) 2 104. Expand and simplify: (x + 5y)(x - 3y) a) x² + 2xy - 15y² b) x² - 2xy - 15y² c) x² + 2xy + 15y² d) x² - 2xy + 15y² e) x² - 15y² 105. Expand and simplify: (2x + 5y)(3x - 2y) a) 6x² - 11xy - 10y² b) 6x² + 3xy - 10y² c) 6x² + 4xy - 10y² d) 6x² - 10y² e) 6x² + 11xy - 10y² 106. Given (3x - 4y)(2x + 7y) = Ax² + Bxy + Cy², what is the value of B? a) -29 b) -13 c) 4 d) 13 e) 29 107. When (2x - 3)(3x + 5) is expanded and written in the form Ax² + Bx + C, what is the value of A + B + C? a) -10 b) -8 c) 7 d) 8 e) 10