Summer Review for Students Entering Algebra 2 CP

Transcription

1 Summer Review for Students Entering Algebra CP

2 This summer packet is broken into parts, the written portion, and the online portion. After you have completed the packet, you will be completing portions online to help you identify specific areas that you may need to work on to be prepared for Algebra. In the online portion, we ask you to go to login (preferably using your ehillel.org google account) and join the class: 6W5XQFX9. It is easiest if you use the link: The following links should be completed prior to the first day of school: Introduction to Algebra Assessment: Solving Equations Assessment: Inequalities Assessment: Linear Equations Assessment: Systems of Equations Assessment: Modeling Linear Inequalities Assessment: Polynomials Assessment: Factoring Assessment: Entry for Algebra CP Summer Packet

3 Solve each equation ( - x ) = 8. x - ( x + 1) = 0. x + 14 = 4( x + ) 4. x + x -8 = x = = b 8 7. x +1 = 5 Solve each system of equations using the method of your choice. 8. ì- x + y = 8 í îy = -x - 9. ì5x + 4y = í î4x + y = ìx - 7y = -5 ï í 7 ïy = x + î Factor each polynomial completely. 11. x - x a -10a m n - 15m n 14. x + 1x x y Determine each of the following: 17. Write an expression for the perimeter of a rectangle with length l = x + and width w = x 18. Write an expression for the area of a square with side s = x Find the diagonal of a rectangle with l = 40 and w = The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse? Simplify each of the following. 1. (-x + 4x - 7) + (x - 7x + 8). (-4a + a - a - 7) -(a - a - a + 8). ( x + 7)( x + 5) 4. - xy ( x - y) ( 15a b c) 6. (8a b )(a b ) -4 5 Entry for Algebra CP Summer Packet

4 7. xy 6x y 8. (x + 6) - 5 Graph each of the following on graph paper or create your own grid y = x y = -x 1. x + y = 9 4 Determine each of the following:. Determine the slope of the line containing the points (6, -) and (-1, 5).. Determine an equation for a line with slope 1 and y-intercept at (0, -). 4. Determine the equation of a line that passes through the points (, 8) and (1, 4). Solve each inequality and graph the solution set. 5. x - > x < x y > x y ³ 6x x + 5y -10 Simplify each radical expression Write each number in decimal notation x x x 10 0 Write each number in scientific notation ,000, (.5 x 10 ) ( x 10 6 ) 54. ( x 10 5 ) x x 10 7 Entry for Algebra CP Summer Packet

5 Evaluate.! 56. x y $ # + z & x if x = 1 " %, y = 4, z = 57. 1a 4a + 7a if a = b + b 4ac a if a = 1, b = 4, c = 1! 59. A = P 1 + r $ # " n & % nt if P = 650, r = 6% n =, t = 15 Simplify each expression. Answers should be written using positive exponents. 60. g 5 g (b 6 ) 1 6. w -7 y 6. 8 y 64. (x 7 )(-5x - ) 65. (-4a -5 b 0 c) 15x 7 y x 9 y 5 & 4x $ % 1x 9 4 #! " Rewriting Formulas and Equations. Simplify both sides of the equations to isolate the variable you are solving for. Solve the equation for y y x = xy 6y = Solve for C, F = C Solve A = bh, for h. 5 Solve each absolute value equation. 7. d -10 = 7. 7 m + = x + 1 = 4x v + = -70 Solve each inequality. Graph the solutions on a number line (6x ) > 4(x + 5) (9 x) 77. 5x 11 x > x + Entry for Algebra CP Summer Packet

6 78. 4 x + 5 > r < 6x x or 5x - 7 ³ Functions and Relations: 8. Is the relation {(, 5), ( 1, 5), ( 1, 4), ( 1, ), (, 0)} a function? Explain. 8. Find the domain and range. 84. Graph the equation by finding the intercepts. 85. Graph the equation x y = Suppose and. Find the value of. 87. For,. Solve the quadratic equation: 88. x + x 4 = (x ) = x 1x = 6 Simplify each radical. Be sure the answer is in simplest form Entry for Algebra CP Summer Packet