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Algebra Chapter 3 Practice Test Name: _______________________________ Date: ___________________ Directions: In problems 1 – 10, solve the equation. Show all work. 1. 14j = 44 2. –y + 8 = -9 3 3. 6m - 11 = 21 4. 6y + 5 = 9y – 7 5. 2n – 6(2 + 3n) = 20 6. | -3 |b – 4(2 – 3b) = 19 7. xy + h = w j Solve for y. 8. ab – ce = d Solve for e. 9. a + e = d c b Solve for b. 10. a + b = d c-e Solve for b. 11. The triangle has a perimeter of 41 centimeters. Solve for the missing sides. 10 x + 1 3x + 2 12. The circle has a circumference of 18 in. Approximate the radius of the circle. Give your answers in terms of π. r 13. One video rental club charges $25 to become a member and $2.00 to rent each video. Another charges no membership fee, but charges $2.75 to rent each video. How many videos must you rent to make the first club more economical? ______ 14. Solve -3x – 6 = 4x + 8 a) -2 _____ 15. Solve 5x – 12 = 3x + 6 a) - 2¼ _____ 16. Solve _____ 17. Solve 𝟐 𝟑 (9x – 13) + 7 = 12 – 6x 4x + 7 = 8x + 7 b) 2 b) 2¼ c) -14 d) 14 e) -1 c) ¾ d) –¾ e) 9 a) -4/3 b)11/8 c) 4/3 a) 7/2 b) -7/2 c) -3 d)11/9 e) 18 d) 3 e) 0 18. Your club decides to sell cookie dough to raise money. Every pound costs you $3.50 and there is a one time delivery fee of $45. You plan to sell the stationery for $7 per box. Which equation should you use to determine how many boxes you must sell to cover your costs? a) 3.50p – 45 = 7p b) 45 – 7p = 3.50p c) 3.50p + 45 = 7p d) 45 – 3.50p = 7p e) 7p + 45 = 3.50p Directions: In exercises 19 & 20, choose the statement below that is true about the given number. a) The solution in column A is greater. b) The solution in column B is greater. c) The two solutions are equal. d) The relationship cannot be determined from the given information. Column A Column B 19. x + 6 = |-4| y – 4 = -6 20. x + | -5 | = 6 3 = y + 7 19. _____ 20. _____ Bonus: Solve for n. Show all steps! 5 + 2n = 12 7m - 1