Complete the following to the best of your ability. DO NOT use a calculator. Show all work.

Transcription

1 Name: Summer Work Algebra Complete the following to the best of your ability. DO NOT use a calculator. Show all work. 1. You have a 35 degree angle. Determine the complementary angle AND the supplementary angle. 2. In the figure, angle 1 measures 75 degrees. Find the measurements of angle 2, 3, and Subtract: 4 ( 3) 4. Translate the following question into an equation and solve for the unknown value: Forty-two is thirty percent of what number?

2 5. Convert the following fraction to a decimal: 27/ A baseball glove at the local sports store is regularly priced at $ It is on sale for 20% off. What is the amount that you save by buying the glove on sale? 8. Solve for m: 58m=12 9. Solve for y: 2y+20=7y Simplify the following: (w+3)+4w

3 Name: Summer Work Algebra (11 3) m + ( 6m) (x y) + 4(y x) 5(x + y) ( 54)

4 20. Simplify. 5 3 = 12 4 = 5 5 = 21. A farmer plans to enclose a rectangular field by chain link fencing. The length of the field is 16 yards more than the width. If 140 yards of fencing is required, find the dimensions of the field = t = 6 + y Find the values of x and y if: 1 = (3x + 4) 3 = (4y 12) 4 = x 25. Multiply: =

5 Name: Summer Work Algebra (3x 1) 2(6x + 3) The selling price of a dining table is $630. This is 20% more than its cost price. What is the cost price of the dining table? y = = 7t q 2 = If a = 3, b = 2, then what is 3a + 3b?

6 33. Solve using rules of addition. Show your steps. ( 41) ( 23) + 39 = 34. The highest recorded temperature on Earth was recorded in Africa at 136*F, while the lowest was -129*F in Antarctica. What is the range of temperatures recorded on Earth? 35. Simplify: Convert 7/8 into a decimal and percentage? p = The sales tax in New Jersey is 6%. About how much will a $31 backpack cost, including sales tax? 39. Mark runs 1.5 miles a day. At this rate how many days will it take him to run 30 miles? ( 54)

7 Name: Summer Work Algebra (8 4) 42. The Powerball Lottery was 130 million last week. How do you write 130 million in scientific notation? 43. Simplify: 4(9x 4) 44. What is the surface area of a rectangular solid with a length of 7, and width of 13, and a height of 15? 45. The length of a rectangle is 8 meters more than 6 times the width. The perimeter is 156 meters, find the width. 46. A fair coin will be flipped 3 times. What is the probability that the coin will land on tails exactly once? a b c d If x= 16, what is the value of x? a. 4 b. 8 c. 64 d. 256

8 48. Paul, Kristy, Lindsay, and Mark are racing bumper cars. In how many different ways can they finish? 49. During September $75 was spent on travel. In October the amount spent on travel was $93. Find the Percent Change and state if the change is an Increase or Decrease from September to October. 42% decrease 24% increase 36% increase None of the above 50. The regular price of a cell phone is $ It is marked 25% off. Find the Sale Price. $75.35 $27.50 $82.49 None of the above 51. m A = 23, m B = 57. Find m C If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height? 45 m 30 m 9 cm 15 cm 53. Find the diameter of a circle with radius

9 Name: Summer Work Algebra Rewrite the equation 6x 2y = 12 in slope-intercept form. y = 3x + 6 y = 6x + 12 y = 6x + 12 y = 3x (6x 3 ) y7 x 3 12yx Evaluate the algebraic expression for x =5 and y = -2 x + y 58. ( 3x 2 y 5 ) What is the GCF of 7x 5, 17x Solve for A if B=32

10 61. The area of the shape below is 144 cm squared. What is the measurement of side BC? 62. Find the Greatest Common Factor of 6xyz + 12x 2 y 3yz Find the length of the hypotenuse of this triangle if side AB = 3m and side AC= 4m 64. a) A cone with diameter 7 inches and height 9 inches has a volume of inches cubed. What is its volume when the radius is doubled? b) What is the volume when the height of the original cone is doubled? c) What is the volume when both the radius and the height of the original cone are doubled? ***Use 3.14 for pi and round your answers to the nearest tenth.

11 Name: Summer Work Algebra ( 13) (x 3 ) 5 (x 3 ) Taryn is practicing skating drills. She skates around the faceoff circle of the ice rink. If the circle has a radius of 5.6m, how far does she skate when she goes around the circle twice? 68. Chase has two circular tiles to paint. The radius of each tile is 33cm. What is the total area he needs to paint? 69. Multiply: (r 3 )(r 5 )(r 4 ) 70. Multiply: 3y 3 (y 4) 71. Simplify: 81 49

12 72. The point (8, 1) is reflected across the y-axis. What is its image? a) (1,8) b) (8,-1) c) (-8,1) d) (-8,-1) 73. Simplify: (3x 2 4) + (4x 3 + 2x 2 + 4x) 74. Find the volume of the right cylinder with a diameter of 18 and height of Convert.625 to a fraction. Always reduce when possible! a) 3/8 b) 8/16 c) 5/8 d) 6/25 e) ½ 76. Simplify: (5r 3 ) x + 7 3