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Quarter 1 Midterm Review Write the algebraic or numeric expression. 1. A number decreased by 3 ______________________ Name: ___________________________ 15. Simplify 8(x – 3) 2. The sum of 5 and a number. ____________________ 3. The difference of 20 and a number is 16 ___________ 16. Simplify -9(5 – 2x) 4. The quotient of 10 and 8 decreased by 3 __________ 5. The product of m and 7 increased by 5 ____________ 17. Simplify 8(x + 2) + 3(3x – 4) 6. 12 less than n is 15 ____________________________ 7. Find the sum of a number and 8 then subtract 7 from the result. _______________________________ 18. Simplify -2(4x + 6) - 3(x – 2) 8. 9 less than the product of -8 and 2. ____________ 9. Beth has $3.45 all in quarters and nickels. Write an expression to represent this. _______________ 10. Jack put $40 in the bank and earns $2 a month in interest. Write an expression to show how much money Jack has after m months. _______________________________________ 11. Which expressions are equivalent? A. 7 – m and m – 7 B. 8m and m • 8 19. Simplify 4(x – 3) + 2(x + 7) 20. Which expression are NOT equivalent? A. 8 ÷ 4 + 6 and 6 + (10 – 8) B. 3(4 + 5) and 3•4 + 3•5 C. 5 – (6 – 2) and (7 – 5) - 1 D. 4(2 + 3) and 4 • 2 + 3 C. 6 ÷ h and D. 9 + c and 9c 12. Which expressions are NOT equivalent? A. 10 – 7 and 10 + (-7) B. 9 – (-8) and 9 + 8 C. -6 + 5 and 5 – 6 D. -4 + 3 and 4 + -3 13. Which expressions are equivalent? A. 2(4 – x) and 8 – x B. 2(4 – x) and 8 + 2x C. 2(4 – x) and 8 – 2x D. 2(4 – x) and 8x 14. Which expressions are equivalent? A. 4x + 2 – 5x and 9x + 2 B. 2x – 3x + 6 and x + 6 C. -6x + 4x – 7 and -2x – 7 D. -8x + 3 + 9x and –x + 3 21. Simplify 7 + 2 • 8 – 1 22. Simplify 13 + 3 • 7 23. Simplify 7 + 8 ÷ 2 24. Simplify 6 ÷ 3 + 2 • 7 25. Which expression has a value of 4 when n = 6 A. n – 4 B. n + 6 C. n • 3 D. n – 2 26. Which equation has the solution x = 2? A. x – 9 = 11 B. 4x = -8 C. x – (-3) = 5 D. x =5 10 35. 4x + 3 = 11 36. 7y – 3= 25 37. 3x – 1 = 8 27. If x = 4, evaluate x – 6 28. If x = 9, evaluate x + (-2) 29. If x = 5, evaluate 3 x 2 38. 5w + 2w = 77 39. 8n – 3n – 4 = 21 30. If x = 3, evaluate 6 – (-x) 40. 4c + (-7c) = -9 31. If x = -2, evaluate 5 + x 41. 5(6 + j) = 45 32. If x = -8, evaluate 3 –(-5) + x Solve the equations. 33. 4 + x = 7 42. 3(k – 2) = 10 + 8 34. m – 20 = 45 43. x + 8 = 11 2 44. x +3=5+2 6 50. CHALLENGE: 8(r – 2) + 6 = 2(r + 1) 45. 13 = 12t – 5 – 3t 51. x – 2(3x – 2) = -6 46. -2(4 – m) = 10 52. If 2x – 1 = 11, find the value of 4x 47. 15 – 2y = 3y 53. If 6x + 8 = 32, find the value of x + 3 48. 2p – 9 = 5p + 12 54. If 6x – 15 = 9, find the value of 3x. 49. 11x – 21 = 17 – 8x 55. Which equation has the solution x = -2? A. 5x + 3 = 13 B. -2 – 6x = 10 C. 3x + 5 = 20 D. 18 – 6x = 7