Name Chapter 1 and 2 Review 1. The volume of the cube is 512 in 3. Find the side length of the cube. Indicate the answer choice that best completes the statement or answers the question. Estimate to the nearest integer. 2. 4 5 9 27 ALGEBRA Evaluate the expression. 3. (x y ) + x, if x = 2 and y = 8 42 1,024 1,032 4,112 4. m 2 n, if m = 6 and n = 2 44 28 6 212 5.
Indicate the answer choice that best completes the statement or answers the question. 6. x 3 = 17 20 20 14 14 7. Which point is closest to on the number line? A B C D 8. Which point is closest to on the number line? A B C D 9. Marianna wants to buy a new tennis racket that costs $57.50. She has $8 and plans to save $4.50 each week. How many weeks will it take her to save the money? 24 weeks 15 weeks 11 weeks 10 weeks 10. Guadalupe wants to buy new goggles that cost $31.50. She has $4.50 and plans to save $2.25 each week. How many weeks will it take her to save the money? 14 weeks 12 weeks 11 weeks 10 weeks
Evaluate the expression. 11. 8 12. ( 6) 16 14. 4 3y = 31 81 11 9 Name all sets of numbers to which the real number belongs. 13. 4p + 21 = 43 5.5 5.5 16 15. 16. integer irrational rational rational and integer rational and integer whole irrational rational ALGEBRA Solve each equation. Check your solution(s). 17. = 121 11 11 11 no real solution Write the expression using exponents. 19. 2 d 5 d d 5 2 5 d 2 5 3 d 2 2 5 d 2 5 3 d 18. no real solution 18 18 20. 3 3 m m m 3 m 2 m 2
21. 15 2b = 9 3 12 24 48 22. 15 1 5 15 23. 11z 5 = 9z + 7 1 6 24 24. 6y + 17 = 3y 10 9 3 243 Simplify. 25. (4d e )
GEOMETRY Express the area of the square as a monomial. 26. Write the number in scientific notation. 27. 69,900,000 6.99 10 6.99 10 6.99 10 6.99 10 28. DISASTERS In 2005, Hurricane Katrina caused over $125 billion in damage in the southern United States. Write $125 billion in scientific notation. $1.25 10 $1.25 10 $1.25 10 $1.25 10 Evaluate the expression. Express the result in scientific notation. 29. (7.3 10 )(2.4 10 ) 1.752 10 9.7 10 17.52 10 1.752 10 30. 7.2 10 6.1 10 7.2 10 2.8125 10 31. SHOPPING Mrs. Williams shops at a store that has an annual membership fee of $30. Today she paid her annual membership and bought several fruit baskets costing $15 each as gifts for her coworkers. Her total was $105. Write and solve an equation to find the number of fruit baskets Mrs. Williams purchase 4 fruit baskets 5 fruit baskets 9 fruit baskets 1,125 fruit baskets
Write and solve an equation to solve the problem. 32. ART Ishi bought a canvas and 8 tubes of paint for $24.95. If the canvas cost $6.95, how much did each tube of paint cost? 8t 6.95 = 24.95; $3.99 each 6.95 + 8t = 24.95; $3.99 each 6.95 + 8t = 24.95; $2.25 each 6.95 + 8t = 24.95; $144 each GEOMETRY The formula for the perimeter of a square is P = 4s, where s is the length of a side. Find the perimeter of each square. 33. 12 in. 44 in. 48 in. 56 in. 34. 40 ft 36 ft 32 ft 9 ft Estimate to the nearest integer. 35. 27 26 8 7 36. 50 11 10 9
Replace each with <, >, or = to make a true statement. 37. 38. < > = < > = Simplify. Express using exponents. 39. 2w 5w w 7w 10w 10w 40. 4r ( 4r ) 41. Which number is greater: 3.5 10 or 2.1 10? 2.1 10 3.5 10 42. Which number is less: 7.2 10 or 9.9 10? 7.2 10 9.9 10 Translate the sentences into equations. 43. Nine less than five times a number is equal to 30. 44. Twelve less than seven times a number is 16. 45. 5(x 3) + 2x = 41 6 8
18 392 46. 4a 3(a 2) = 2(3a 2) 1 2 Find each root. 47. no real solution 48. What is the value of the expression? 120 49. Simplify 200 288 900 7,200 Simplify. Express using exponents. 50.