<p>Algebra I Name Midterm Review Packet</p><p>Chapter 3 Solve.</p><p>1. 5x – 9x = 16 </p><p>2. 5x – (-4) = 5 </p><p>3. 16 = 5(1 - x) </p><p>4. 12x – 49 = -105 </p><p>5. 24x = 78 </p><p>6. 12x – 6 = 7x – 21 </p><p> x 1 7.  8 2</p><p>1 1 8. (2x + 4) = (8x – 16) 2 4</p><p>9. 5x + 20 = -5 Solve for y</p><p>10. 12x – 5 = y + 3 </p><p>11. 5y – 4 + 3x = 12 </p><p>12. 3x + y = 12 </p><p>13. 5x + 3y = 7 </p><p>14.Currently you have $200 in your saving account. Your older sister has $800 in her savings account You decide to save $5 of your allowance each week. Your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister?</p><p>Chapter 4 Write the equation of a line. 15.A horizontal line which passes through the point (5,8). 16.Sketch the lines on the coordinate plane, then find the point at which the lines intersect. Y</p><p> x = 2, y = 6</p><p>X 17.Write the equations for the horizontal and vertical lines that pass through the given point.</p><p>(7,-7) Horizontal line______Vertical line______</p><p>18.Decide which of the four points lies on the line. -5y – 8x = -44, a.(-2,7), b.(3,4), c.(4,-6), d.(-5,-5)</p><p>Use a table of values to sketch the graph.</p><p>19.y = 5x +2 Y</p><p>X</p><p>20.-4y – 8x = 12 Y</p><p>X</p><p>21.5x + 2y = 6 Y</p><p>X 22.Find the x and y intercepts of the linear equation, and use them to make a quick graph: 5x + 2y = 30 Y</p><p>X</p><p>23.4y + 2x = 24 Y</p><p>X</p><p>24.y = 4x – 8 Y</p><p>X</p><p>1 25.y = x + 7 2 Y</p><p>X Find the slope of the line given these two points on the line: 26.(-4,7) (6,9)</p><p>27.(5,8) (5,4)</p><p>28.(2,-1) (6,-1)</p><p>29.Find the slope of the line. Y</p><p>X</p><p>Name the slope and the y-intercept of each line. 30.y = 7x + 2 </p><p>31.y = -6x +1 </p><p>32.y = x – 8 </p><p>33.3y = 5x + 9 </p><p>34.y – 3x + 8 = 0 </p><p>35.4y + 2x – 6 = 0 </p><p>Graph the line that goes through the point and has the given slope. 36.(4,6), m = 2 Y</p><p>X</p><p>37.(-3,-1), m = 0 Y</p><p>X</p><p>Are these lines parallel? 38.y = 6x – 2 6x + y = 9</p><p>39.2x + 4y –1 = 0 1 y = - x – 3 2 40.8x – 2y = 20 y = 4x –1</p><p>41.10x – 5y = -12 y = -2x</p><p>Chapter 5 Write the equation of each line in slope-intercept form.</p><p>42.(3,5) m = -1 ______</p><p>43.(0,4) (-1,3) ______</p><p>44.(-8, 5) (-24, 3) ______</p><p>Write the equation of each line in standard form. 45.(0, -8) m = 3 ______</p><p>46.(-5, -6) m = -2 ______</p><p>47.(1, 3) (5, -4) ______</p><p>2 4 48.m = and the y-intercept is ______3 5  Chapter 6 </p><p>Solve the inequality then graph. 49. 30x – 10 < 50</p><p>50. 2 (3x + 4) < 3 (-4x – 3)</p><p>1 51. -3 (2 – x) > x + 2 2</p><p>3 52. (-8x + 12)  -2x – 7 4</p><p>1 53. (x + 10)  5</p><p>54. 2x + 3x + 5  14</p><p>55. 5x + 6 – 2x < -4x – 7 + 9x</p><p>56. –x + 6 < -4x - 5 57. -15  -3x + 2</p><p>58. –x + 4 >-(-3x – 5)</p><p>Write an inequality and solve.</p><p>59. You are placing an order for blank CD’s through the mail. </p><p>Each type costs $4.00, including tax. Shipping and </p><p> handling costs are $3.00 for the entire order. If you </p><p> can’t spend more than $35.00, how many CD’s can you </p><p> order.</p><p>Solve.</p><p>60.) Find 3 consecutive integers whose sum is 99. </p><p>61.) The sum of two consecutive even integers is -54. Find the integers </p><p>63.) The sum of two consecutive integers is 105. Find the integers </p><p>63.) Find two consecutive odd integers if twice the larger, increased by the smaller, equals 85.</p><p>64.) Find three consecutive even integers if their sum, decreased by the third, equals -22 65.) The sum of 8 times a number and 12 is -84. What is the number? </p><p>66.) Three times a number, decreased by 3, is -18. Find the number. </p><p>67.) The perimeter of a square is 196m. How long is each side of the square?</p><p>68.) The perimeter of a rectangle is 96m. If the width of the rectangle is 12m, find its length.</p><p>69.) The length of a rectangle is 5 times the width. The perimeter is 36 ft. Find the length and the width.</p><p>70.) Find the time it will take a cyclist to travel 40 miles at average speed of 12.5 mi/h.</p><p>71.) Roberto’s age is ¾ of his brother’s age and Roberto is 45 years old, how old is his brother?</p><p>72.) Jillian is twice as old as Andrew, Jillian is 24 years old, how old is Andrew?</p><p>73.) Two buses leave from the same station at different times. Bus 2 leaves 2 h later than Bus 1. Bus 1 is traveling at 40 mi./h and Bus 2 is traveling at 60 mi./h. How long will it take Bus 2 to Overtake Bus 1? RATE X TIME = DISTANCE</p><p>74.) Two cyclists simultaneously start in opposite directions down a straight road, one at 22 km/h and the other at 28 km/h. How long will they have ridden by the time they are 175 km apart?</p><p>RATE X TIME = DISTANCE</p>