Unit III...Assessment Review...Part 2

Transcription

1 Class: Date: Unit III...Assessment Review...Part 2 Solve the equation.. 4( x + 2) + 4 = 5( x + ) Find the value of x so that the rectangle and the triangle have the same perimeter. What is the perimeter? 3. Solve the inequality. Then graph the solution. m x + 2 > x 5 < You are planning a skating party at a rink that charges a basic fee of $5.50 and $7.00 per person for catered parties. You don't want to spend more than $ Write and solve an inequality to find the number of people who can attend the party. a. 7x ; x 4 b. 7x ; x 4 c. 7x > 03.5; x > 4 d. 7x < 03.5; x < 4 7. The width of a rectangle is 2 centimeters. The perimeter is at least 36 centimeters. Write an inequality that represents all possible values for the length of the rectangle. Then solve the inequality. 8. Akeem has $75 in his savings account. He earns $6.00 an hour mowing lawns. How many hours must he mow lawns in order to save enough money to buy a video game system which costs at least $47? Write an inequality to represent the situation. Then solve the inequality. 9. A teacher has 50 stickers, 20 buttons, and 00 ribbons. She wants to divide them so that each portion has an equal number of stickers, an equal number of buttons, and an equal number of ribbons. What is the maximum number of portions she can make? a. 2 b. 20 c. 0 d. 5 Find the greatest common factor of the numbers , 5, 84 Find the greatest common factor of the monomials.. 08a 4 b 2, 32a 2 b a. 2a 2 b b. ab c. 4ab d. 4a 2 b Write the fractions in simplest form. Tell whether they are equivalent. 3ab 2 4ab, 3a 2 b 4a 4a 3 c 6a 2 b, 2a 2 bc 8ab 2 Write the fraction in simplest form. 9v 2 24v a. 5v b. 3v c. 3v 8 d. 8 3v

2 5. 9b 4 27b 20. Which is a pair of complementary angles? 6. 6a 2 b 5 27ab 9 7. A video game has three villains who appear on screen at different intervals. One villain appears every 3 seconds, a second villain appears every 4 seconds, and a third villain appears every 2 seconds. How much time passes between the occasions when all three villains appear at the same time? a. 36 seconds b. 84 seconds c. 3 seconds d. 504 seconds Find the least common multiple of the monomials ab, 20a 3 a. 4a b. 20ab c. 60a 3 b d. 20a 3 b 9. An iron worker wants to bolt two long beams together for strength. The beams are 288 inches (24 feet) long. By mistake he tells one helper to drill the holes for the bolts every 6 inches and tells another to drill the holes for the bolts every 6 inches. How far along the beams will the holes match for the first time? a. 60 inches b. 24 inches c. 72 inches d. 48 inches 2. a. b and d b. a and b c. c and d d. b and c Tell whether the angles are complementary, supplementary, or neither. m 3 = 48 o m 4 = 42 o a. neither b. complementary c. supplementary Find the angle measure. 22. and 2 are supplementary and m = 72º. Find m 2. a. 8 b. 8 c. 08 d Find the measures of the numbered angles. (The figure may not be drawn to scale.) 2

3 24. Find the value of x in the figure. (The figure may not be drawn to scale.) 27. BD and CE are diameters of circle F. What is the measure of AFB? (The figure may not be drawn to scale.) 25. a. b. 3 c. 6 d What is the value of y? (The figure may not be drawn to scale.) a. 45º b. 67º c. 55º d. 77º Tell whether the angles in the diagram are corresponding, alternate interior, or alternate exterior angles and 6 a. corresponding b. alternate exterior c. alternate interior and and 7 3. and 5 a. alternate interior b. alternate exterior c. corresponding 3

4 32. Find p, q, r, s, t, u, and v. (The figure may not be drawn to scale.) 35. What must be the value of x if a is parallel to b? (The figure may not be drawn to scale.) a b Lines r and t are parallel. Find the measures of 4 and 3. (The figure may not be drawn to scale.) c d Find the product. Write your answer using exponents a b c. 5 8 d In the figure, AB is parallel to CD, the measure of 2 = ( 8x + 22), and the measure of 7 = 22. What is the value of x? Simplify the expression. Write your answer using exponents. 37. c 3 c 4 Simplify the expression. a..5 b. 2.5 c. 3 d a 2 b 5 6a 9 b 3 a. 8a b 8 b. 8a 8 b c. 2a 8 b 5 d. 2a b 8 4

5 m 9 p 6 m 3 p 2 a. m 6 p 4 b. m 6 p 4 c. m 2 p 28 d. mp 4 Find the quotient. Write your answer using only positive exponents. 2a 4 b 3 4a 8 b 4 x 5 x 9 a. x 4 b. x 4 c. x 4 d. x 4 32w 8 4w 2 Write the expression without using a fraction bar x 3 Find the product. Write your answer using only positive exponents a. 8 5 b c. 8 3 d x 2 x a 5 a 3 a 2 Find the product. Write your answer in scientific notation ˆ Ë Á ˆ Ë Á a b c d ˆ Ë Á ˆ Ë Á 5. A planet has an approximate diameter of kilometers. Write the diameter in standard form. a. 4,900 km b. 49,000 km c.,490,000 km d. 490 km Write the number in scientific notation a b c d x 0 x a. x b. x 2 c. x 0 d. x Write the number in standard form a. 539,000,000 b. 5,390,000,000 c. 53,900,000 d

6 Write the number in scientific notation. 56. A virus takes up a volume of approximately cubic centimeter. 57. In 995, Cambodia had a population of about 0,720,000 people. Use the simple interest formula to find the unknown quantity. 58. I = $90 P =? r = 4% t = 3 months a. $8500 b. $950 c. $750 d. $ I = $800 P = $3200 r =? t = 9 years a. 6.25% b. 4.5% c. 5.25% d. 9% 63. Find the simple interest earned on $800 invested at 6.5% for 2 months. 64. Jerome deposited $6200 into an account that earns 6% interest compounded annually. Find the balance after 3 years. 65. Michael put $6000 in a savings account that earns simple annual interest. At the end of one year the account had earned $570 in interest. What was the annual interest rate on the account? a. 9.5% b. 9.5% c. 8.5% d. 8.5% 66. What is the value of x? (The figure may not be drawn to scale.) a. x = 2 b. x = 22 c. x = 02 d. x = Consider the figure shown. Find the simple interest earned on the account. 60. P = $800, r = 8.5%, t = 4 years a. $272 b. $68 c. $7 d. $ a. What is the sum of the interior angles of the quadrilateral shown? b. Find the value of x. c. Find the value of y. For an account that earns interest compounded annually, find the balance of the account. 6. P = $350, r = 4 %, t = 6 years 62. P = $40, r = 8%, t = 6 years 6

7 Find the sum of the measures of the interior angles of the regular polygon. Find the value of x. (The figure may not be drawn to scale.) a. 540 b. 080 c. 720 d. 440 a. 630 b. 80 c. 620 d. 260 a. 222 b. c. 29 d Find the measure of each exterior angle of a regular polygon with 30 sides. a. 6 b. 68 c. 2 d Find each unknown angle measure. a. 440 b. 900 c. 800 d. 720 Find the measure of an interior angle and the measure of an exterior angle for the regular polygon gon 7

8 Unit III...Assessment Review...Part 2 Answer Section x = 4; perimeter = m 4 4. x < 6 5. x > A 7. 2l l 37; The length is at least 37 cm x 47 x 2 He would have to work at least 2 hours. 9. C D 3b 2. 4, 3ab 4, no 2ac 3. 3b, 2ac 3b, yes 4. C b a 6. 9b 4 7. B 8. D 9. D 20. B 2. A 22. C 23. m 7 = 56º, m 8 = 24º, m 9 = 56º B

9 27. D 28. B 29. alternate interior 30. corresponding 3. C 32. p = r = s = v = 2 q = t = u = m 4 = 55 ; m 3 = B 35. D 36. D 37. c D 39. B 40. 2a 2 b 7 4. A 42. 8w x D 46. C 47. x a A A 52. D A D 59. A 60. A 6. $ $ $ $ A 66. A 2

10 67. a. 360º b. x = 7 c. y = B 69. D 70. A 7. 65, B 73. C , 60, 75, , 84, 92, 28 3