Algebra Summer Assignment

Transcription

1 Algebra Summer Assignment You must show all work to earn full credit. This assignment will be due Friday, August 24, It will be worth 50 points. All of these skills are necessary to be successful in Algebra Honors. Algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. There will be a test on these topics at the beginning of the year. Please follow criteria for credit shown below. You may write on the back of your notebook paper. Do NOT write on this worksheet. - Mrs. Fussner

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3 PART 1 - Fractions Find the reciprocal of the number Add or subtract without using a calculator. Write the answer as a fraction or mixed number in simplest form Multiply or divide without using a calculator. Write the answer as a fraction or mixed number in simplest form Compare the two numbers. Write the answer using <,>, or = and and and and and 1 Write the numbers in order from least to greatest and ,617, 45,242, 40,099, 40, , -2.5, -24, -2.08, , 15, 14, ,, 5,, ,, , , 5 4, 1 1, You need a piece of trim that is yards long for a craft project. You have a piece of trim that is 6 4 yards long. Is the trim you have long enough?

4 PART 2 Integers/Order of Operations/Evaluate Expressions Solve without using a calculator ( ) ( 8) ( 7) ( 1) 5. ( 4) ( 18) ( 4) ( 27) * P. E. M./D. (whichever comes first from left to right), A./S. (whichever comes first from left to right) Evaluate the expression, you may use a calculator but MUST show every step of work (0 + 45) 62. (8 2) (7 2) (100 74) ( 6) Evaluate the expression when x =. You may use a calculator but MUST show every step of work. 70. x ( x) x(x 7) 7. x+2 x (x 2) 180 x 76. x x (x + 2)(x 2) 74. x 2 7x + 6

5 PART Writing Expression/Simplifying Expressions Simplify: 79. 2(a + 4) 80. (2k + 1)7 81. ( x + 2) 82. (7 2z)z 8. y(y 9) 84. (j 1)( ) 85. 4b(b + ) 86. 2(n 6) 87. m m 88. 6x 9x + x 89. x 2 2x + 7x a 2 + a + a (2x 7) (y 4) 9. 6h h(h + 1) 94. 2(x + 4x) 7 Write an algebraic expression, equation or inequality (Do Not Solve) 95. Three more than twice a number is ten 96. Five decreased by a number 97. A number squared minus six is less than fourteen 98. Forty less than a number 99. Two times the sum of a number and twelve 100. Four times the difference of a number and eight 101. The product of a nine and a number is thirty-six 102. Ten is 50% of a number 10. Seven less than twice a number is twenty

6 PART 4 Solving Equations and Inequalities Solve the equation. You may use a calculator but MUST show every step of work x + = x 2 = x = y 4 = (g 1) = 2g d + 12 d = 5d (m 2) = 2(m + ) 124. (4y 8) = 2(y + 4) 108. x = a 2(4a + 5) = 7a z = 2z x = a 2 = x 6 = = x 114. r (2r 21) = 21 + r (z + ) = g = 5g 8 g (t 7) + 6 = = 1 (226 x) x + 9 = x n = 14n w + 2(w 1) = 15w ( 5p) = 5(p +) Solve the inequality x x 10 < 6 2x 10. (x 2) 2x > x + 10 > 8 (x + 14) x 2(x + ) 8 1. x + 8 2(x 4) 2(1 x) 14. (2x 4) -2(x + 1) > x x < 18 x Write an inequality for each graph

7 PART 5 The Coordinate Plane Tell what point is located at each ordered pair (, 2) 142. ( 7, 8) 14. (2, ) 144. ( 4, 4) 145. ( 5, 5) 146. ( 5, 0) Write the ordered pair for each given point & name the quadrant it is in E 148. M 149. C Identify the slope for each graph below

8 Identify the slope for each table below X Y X Y X Y X Y Identify the slope from the points below (1, -) and (4, 2) 161. (7, 2) and (-1, 2) 162. (0, ) and (6, 6) Identify the slope for each equation 16. y = 4x y= y= 6 + ½ x PART 6 Measurement & Proportions Convert to the given unit: ft. = in m = cm cm = m in = ft ft 2 = in in 2 = ft m 2 = cm cm 2 = m 2 Solve for x: 174. x 7 = x = x 7 = x+1 10 = = x 2 x = 15 x 180. x 8 = 5 12

9 PART 7 Geometry Fill in each blank with the correct formula the area of a circle: A = 182. the area of a triangle: A = 18. the area of a parallelogram: A = 184. the circumference of a circle: C = Find the area & perimeter (or circumference) of each figure in 14 m 5 ft 1 m 6 ft 10 m 9 cm 9 cm 1 ft a square with a side of 10 mm 10 yd 100 cm 14 ft 15 ft 9 yd 5 yd 19. a circle with a 194. a rectangle with 195. a circle with a radius of 12 ft. length = 14 ft and diameter of 22 yd. width = 17 ft 196. Suzanne is making a frame for an 8-inch by 10-inch photo. How much wood does she need for the frame? 197. The diameter of a quarter is 24 mm. What is the quarter s circumference? 198. The floor of our classroom is 50 feet by 75 feet. What is the area of our floor? Use the figure below to answer questions 199 and ft 4 ft 10 ft 8 ft 6 ft 16 ft 199. What is the perimeter of this compound figure? 200. What is the area of this compound figure?