University:
Carleton College
Course:
MATH 101 | Calculus with Problem Solving
Academic year:

2024
Views:

137

Pages:

2
Author:

SpaceCadet101

Algebra I CP Quiz 3.1-3.4 Review Name: KEY Solve, if possible. Show work! 1. 13 + c = -28 c = -51 2. b - 12 = -42 b = -30 3. -35 = 19 - c -54 = -c c = 54 4. 5x + 5 = 30 5x = 25 x = 5 5. 8x - 5 = 3x + 20 5x - 5 = 20 5x = 25 x = 5 6. 6c - 8 - 2c = -16 4c - 8 = -16 4c = -8 c = -2 7. 4y - 2 = 25 4y = 27 y = 27/4 8. 7x - 14 = 28 7x = 42 x = 6 9. 6 - 11x = 7x - 12 18 = 18x 1 = x 10. 5/8 = y/12 60 = 8y 10 = y 11. 1/2(4x - 7) = 2/3 4x - 7 = 4/3 4x = 25/3 x = 25/12 12. 6 - 11x = 12 -11x = 6 x = -6/11 13. 4(3m + 2) = 2(5m - 3) 12m + 8 = 10m - 6 2m = -14 m = -7 14. 3p + 4 + 2p = 16 + 4p 5p + 4 = 16 + 4p p = 12 15. 4(x + 1) = 3(x - 6) 4x + 4 = 3x - 18 x = -22 16. 2y + 5 = 3(4y - 5) 2y + 5 = 12y - 15 20 = 10y 2 = y 17. 0.2y + 0.18y = 23 0.38y = 23 y = 60.53 18. 27 = 3x - 3(6 - 2x) 27 = 3x - 18 + 6x 27 = 9x - 18 45 = 9x 5 = x 19. 7v - (6 - 2v) = 12 7v - 6 + 2v = 12 9v - 6 = 12 9v = 18 v = 2 SOLVE the equations, IF POSSIBLE. 23. 3x + 5(x - 6) = 8x - 16 3x + 5x - 30 = 8x - 16 8x - 30 = 8x - 16 -30 = -16 (no solution) 24. 7 + 3(x - 4) = 3x - 5 7 + 3x - 12 = 3x - 5 3x - 5 = 3x - 5 all real numbers 25. 8x + 1 = 1 - 8x 16x = 0 x = 0 In #26-24, write an equation, solve and answer the question. SHOW WORK! 26. A number subtracted from 14 is 71. What is the number? Eq: 14 - x = 71 Answer: x = -57 27. Six plus a number is equal to three times the number. What is the number? Eq: 6 + x = 3x Answer: x = 3 In #28-30, define a variable, write an equation, solve and answer the question. SHOW WORK! 28. A contractor purchases ceramic tile to remodel the kitchen floor. Each tile costs $4, and the adhesive and grouting material costs $17.82. The contractor was charged a total of $545.82. How many tiles did the contractor purchase? Let x = # of tiles Define variable: x = # of tiles Eq: 545.82 = 4x + 17.82 Answer: x = 132 tiles 29. You helped a friend move a short distance recently. The friend rented a truck for $15 an hour and rented a dolly for $5. Your friend paid a total of $80 for the rental. For how long did you friend rent the truck? Let h = # of hours Define variable: h = # of hours Eq: 80 = 15h + 5 Answer: h = 5 hours 30. The perimeter of the rectangle is 102m. Find the length and the width. Define variable: w = width w |-----| | | 4w + 1 |-----| w Eq: 102 = w + 4w + 1 + w + 4w + 1 102 = 10w + 2 100 = 10w l = 41 m, w = 10 m