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1 1 of 3 4/9/018, 7:51 PM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 018 Assignment: Math 0410 Homework150aleks 1. Insert < or > between the pair of integers to make the statement true Simplify. 9 9 = 3. Simplify. 1 1 = (Simplify your answer.) 4. Simplify = 5. Simplify. ( 3) ( 3)= 6. Add The sum is. 7. Evaluate 4 x + y for x =1 and y =. The result is. 8. Subtract. 16 ( 16) 16 ( 16)= 9. Perform the subtraction =

2 of 3 4/9/018, 7:51 PM 10. Perform the subtraction. 13 ( 13) 13 ( 13)= 11. Subtract. 7 ( 8) 7 ( 8 ) = 1. Perform the subtraction = 13. Evaluate x y for the given replacement values. x=9and y= 6 x y = 14. Multiply. 0( 11) 0( 11 ) = 15. Evaluate = 16. Evaluate. ( 7) 3 3 ( 7) = 17. Find the quotient. 7 1 Select the correct choice below and fill in any answer boxes in your choice. A. 7 = 1 B. The answer is undefined.

3 3 of 3 4/9/018, 7:51 PM 18. Find the quotient. 3 0 Select the correct choice below and fill in any answer boxes in your choice. A. 3 0 = B. The answer is undefined. 19. Evaluate. ( 13) ( 13) = 0. Multiply. ( ) 5 ( ) 5 = 1. Simplify. 5( 3) + 4 5( 3) + 4 =. Simplify. ( 9)+8 4 ( 9)+8 4= 3. Simplify = 4. Simplify. 5( 9) ( 14) 5( 9) ( 14)= 5. Simplify =

4 4 of 3 4/9/018, 7:51 PM 6. Simplify. ( 15 33) 16 8 ( 15 33) 16 8 = 7. Simplify. ( 16 14) 15 3 ( 16 14) 15 3 = 8. Simplify. 9( 14) [5( 9) 4( 11)] The answer is. 9. Evaluate the following expression for x = 3, y =, and z = 1. 4x 5y 1z 4x 5y 1z = 30. Evaluate the following expression for x = 3 and y =5. x y x y= 31. Solve. Check your solution. d 8= The solution is d=. 3. Solve. Check your solution. =y 1 The solution is y=. 33. Solve the following equation. Check the solution =x The solution is. 34. Solve. 8x = 4 The solution is x=.

5 5 of 3 4/9/018, 7:51 PM 35. Solve. z= 6 The solution is z=. 36. Solve. n = 6 3 The solution is n =. 37. Solve. 1 z = 108 The solution is z =. 38. Solve. 10 x= 0 The solution is x =. 39. Solve. 3x= 3 The solution is x =. 40. Solve. Check your solution. d 6= 8 The solution is d=. 41. Solve. Check your solution. 17=x+5 The solution is x=. 4. Solve. x = 7 9 The solution is x =. 43. Simplify the expression by combining like terms. 4n + 5n + 7n 8 4n + 5n + 7n 8 =

6 6 of 3 4/9/018, 7:51 PM 44. Multiply. 4(a 7) 4(a 7) = (Simplify your answer.) 45. Multiply. 3(5s+5) 3(5s+5)= 46. Simplify the expression. First use the distributive property to multiply and remove parentheses. (x + ) (x + ) = 47. Simplify the expression. First use the distributive property to multiply and remove parentheses. 9+4(c 1) 9+4(c 1)= 48. Simplify the expression. First use the distributive property to multiply and remove parentheses. 3(5n 4)+3n 3(5n 4)+3n= 49. Simplify the expression. First use the distributive property to multiply and remove parentheses (w + ) + w 3 + 6(w + ) + w = 50. Simplify the expression. First use the distributive property to multiply and remove parentheses. (4y 6)+9 (4y 6)+9= 51. Simplify the expression. 15y y 15y y =

7 7 of 3 4/9/018, 7:51 PM 5. Simplify the expression. 4(x + ) (x + ) + 15 = 53. Simplify the expression. 7 x+4x 9x 7 x+4x 9x= 54. Simplify the expression. 6y 3(y 1)+6 6y 3(y 1)+6= 55. Find the area of the rectangle. The area is sq in. 9 inches 6y inches 56. Find the area of the rectangle. The area is (Simplify your answer.) sq mi. (3y+1) miles 0 miles 57. Find the area of a rectangular movie screen that is 48 feet long and 38 feet high. Use A = LW. The area is square feet. 58. A decorator wishes to put a wallpaper border around a rectangular room that measures 0 feet by 3 feet. Find the room's perimeter. Use P=L+W. The perimeter of the room is feet.

8 8 of 3 4/9/018, 7:51 PM 59. Find the perimeter of a triangular garden that measures 5feet by x feet by ( 7x+8) feet. Use P=a+b+c. The perimeter of the triangular garden is (Simplify your answer.) feet. 60. Solve. First combine any like terms on each side of the equation. 8w 10w = 1 w= 61. Solve the equation. First combine any like terms on each side of the equation. 40=t+4t The solution is t=. 6. Solve the equation. First combine any like terms on each side of the equation. 5z = The solution is z=. 63. Solve the equation. First combine any like terms on each side of the equation. 3x 3x=17 5 The solution is x=. 64. Solve the equation. First combine any like terms on each side of the equation. x = x= 65. Solve and check the solution. (x 3) = 5x x = 66. Solve. First multiply to remove parentheses. y = 7(3y ) The solution is y=. 67. Solve the equation. 4(y )=y 8 y=

9 9 of 3 4/9/018, 7:51 PM 68. Solve the equation. 7(3x 1) = x x = 69. Multiply. Write the product in simplest form = Divide Select the correct choice below and fill in any answer boxes in your choice. A = (Type an integer or a simplified fraction.) B. The answer is undefined. 71. Add and simplify = (Type an integer or a simplified fraction.) 7. Add and simplify = (Type an integer or a fraction.) 73. Subtract = (Type an integer or a fraction.)

10 10 of 3 4/9/018, 7:51 PM 74. Simplify the complex fraction = (Type an integer or a simplified fraction.) 75. Solve the equation and check the solution. x= 30= 5 13 x 76. Solve the equation. z z = 5 8 z= (Type an integer or a fraction. Simplify your answer.) 77. Multiply = (Type an integer or a decimal.) 78. Divide = 79. Solve. 4.5x 14 =.7x + 4 x = (Type an integer or a decimal.) 80. Solve the proportion. 7 x = 8 16 x = (Type an integer or a simplified fraction.)

11 11 of 3 4/9/018, 7:51 PM 81. A 13-oz iced tea at a certain restaurant has 104 calories. How many calories are there in a 0-oz iced tea? The 0-oz iced tea has calories. 8. Write the percent as a decimal. 78.% 78. % = 83. Write the decimal as a percent = % (Simplify your answer. Type an integer or a decimal.) 84. Write the fraction as a percent = % (Simplify your answer.) 85. Write the percent as a decimal and a fraction. People take aspirin for a variety of reasons. The most common use of aspirin is to prevent heart disease, accounting for 40% of all aspirin use. 40% written as a decimal is. 40% written as a fraction is. (Type an integer or a simplified fraction.) 86. A stereo normally priced at $ 680 is on sale for 40% off. Find the discount and the sale price. The discount is $. The sale price is $. 87. A company borrows $ 95,000 for years at a simple interest rate of 14.5%. Find the interest paid on the loan and the total amount paid. The interest paid on the loan is $. The total amount paid is $. 88. Solve the equation for x. 7(x + 9) + 9 = 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (Simplify your answer. Type an integer or a fraction.) B. The solution is all real numbers. C. There is no solution.

12 1 of 3 4/9/018, 7:51 PM 89. Solve the equation for x. 6(6x ) = 36x 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x = (Type an integer or a fraction. Simplify your answer.) B. The solution is all real numbers. C. There is no solution. 90. Solve the equation. x x += 5 5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= B. The solution is all real numbers. C. There is no solution. 91. Solve the equation for x. 3x+9=3(x+6) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x = (Type an integer or a simplified fraction.) B. The solution is all real numbers. C. There is no solution. 9. Solve the equation for y. 9x + y = 5 y=

13 13 of 3 4/9/018, 7:51 PM 93. Solve the inequality. Graph the solution set and write it in interval notation. 3x < 6 Choose the correct graph below. A. B. C. D. E. F. The solution to the inequality 3x < 6 is. (Type your answer in interval notation.) 94. Solve the inequality. Graph the solution set and write it in interval notation. 5x 15 Choose the correct graph below. A. B. C. D. E. F. The solution to the inequality 5x 15is. (Type your answer in interval notation.) 95. Solve the inequality. 4x+ (3 x) The solution set is. (Type your answer in interval notation.)

14 14 of 3 4/9/018, 7:51 PM 96. For the following equation, find three ordered pair solutions by completing the table. Then use the ordered pairs to graph the equation. y= 4x+4 Find three ordered pair solutions of the given equation. x 0 1 y Use the graphing tool to graph the line. 97. Graph the linear equation. 3 y= x 3 Use the graphing tool to graph the linear equation. 98. Plot the intercepts to graph the equation. 3x 4y = 1 Use the graphing tool to graph the equation. Use the intercepts when drawing the line. If only one intercept exists, use it and another point to draw the line. 99. Find the slope of the line that goes through the given points. (1, 10) and (3, 6) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. (Type an integer or a simplified fraction.) B. The slope is undefined.

15 15 of 3 4/9/018, 7:51 PM 100. Find the slope of the line that goes through the given points. ( 5, 8) and ( 5, 10) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. (Type an integer or a fraction. Simplify your answer.) B. The slope is undefined Find the slope of the line that goes through the given points. (, 7) and ( 8, 10) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. (Simplify your answer.) B. The slope is undefined. 10. Find the slope of the line that goes through the given points. (9,7) and (5,7) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is. (Type an integer or a simplified fraction.) B. The slope is undefined Find the slope of the line. 6x + y = 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is.(simplify your answer. Type an integer or a fraction.) B. The slope is undefined Find the slope of the line. 3x y = 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the line is. (Simplify your answer.) B. The slope of the line is undefined.

16 16 of 3 4/9/018, 7:51 PM 105. Use the slope-intercept form to graph the equation 5x 4y = 0. Use the graphing tool to graph the line. Use the slope and y-intercept when drawing the line Find the slope-intercept form of the line whose slope is and that passes through the point ( 3,10). The equation of the line is. (Type your answer in slope-intercept form.) 107. Find the slope-intercept equation of the line that has the given characteristics. Slope 4and y-intercept (0, 3) The equation is. (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.) 108. Find the value of x 3x+4 for the given value of x. x= 3 The value of the polynomial for x = 3is. (Simplify your answer.) 109. Determine whether each ordered pair is a solution of the system of linear equations. a. (3,6) b. (4,9) 3x y = 3 x+3y=1 a. Is (3,6) a solution? No Yes b. Is (4,9) a solution? No Yes

17 17 of 3 4/9/018, 7:51 PM 110. Solve the system of equations by the addition method. 3x + y = 10 4x y = 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions; {(x,y) 3x+y=10 } or {(x,y) 4x y=4}. C. There is no solution; {} or Use the product rule to simplify the expression. 6 7 y y 6 7 y y = 11. Use the product rule to simplify the expression. Write the result using exponents p q 9pq 3 7 3p q 9pq = 113. Use the product rule to simplify the expression. Write the results using exponents z 3z z 10 7 z 3z z = 114. Use the power rule to simplify the expression. x 4 x 4 = (Simplify your answer. Type exponential notation with positive exponents.) 115. Use the power rule and the power of a product or quotient rule to simplify the expression a b c 4 7 5a b c = (Type your answer using exponential notation.)

18 18 of 3 4/9/018, 7:51 PM 116. Use the power rule, the power of a product rule, and the power of a quotient rule to simplify the expression. 4x 4 z y 5 4x 4 z y 5 = 117. Simplify the expression c c c c c c = 118. Simplify the expression. Assume that all bases are not equal to 0. 4x 3 y z xyz 4x 3 y z = xyz 119. If P(x) =x +x+3, find P( 6). P( 6 ) = 10. If Q(x) =5x 1, find Q( 10). Q( 10 ) = 11. Perform the indicated operation. ( 5x 10 ) + ( 8x 5x 11) ( 5x 10 ) + ( 8x 5x 11) = (Simplify your answer.) 1. Subtract. 4y + 5y 6 ( 7y + 5) 4y + 5y 6 ( 7y + 5) = (Simplify your answer.)

19 19 of 3 4/9/018, 7:51 PM 13. Add. 6y 5y + 4y +y 4 6y 5y + 4y +y 4 = (Do not factor.) 14. Add the polynomials. ( 4x +5x) + ( 9x 1x+6) ( 4x +5x) + ( 9x 1x+6) = (Simplify your answer. Do not factor.) 15. Multiply. x 5x x + 3 x 5x x + 3 = (Simplify your answer.) 16. Multiply. (a + )(a 3) (a + )(a 3) = 17. Find the following product. ( y 3) ( y 3) = 18. Multiply. (x 6)(x 8) (x 6)(x 8) = (Simplify your answer.) 19. Multiply. 3 (x + 3) x x (x + 3) x x + 4 = 130. Multiply vertically. (7x 11)(4x + 1) (7x 11)(4x + 1) =

20 0 of 3 4/9/018, 7:51 PM 131. Multiply. (x + 17)(4x + 1) (x + 17)(4x + 1) = (Simplify your answer.) 13. Find the following product. (6x + 6) (6x + 6) = 133. Multiply. (a+6) a 8a+8 (a+6) a 8a+8 = 134. Multiply. (8x + 6) 7x 3x + 6 (8x + 6) 7x 3x + 6 = (Do not factor. Simplify your answer.) 135. Multiply. (5x + 7)(x + ) (5x + 7)(x + ) = (Simplify your answer.) 136. Use FOIL to multiply. (3y )(y + ) (3y )(y + ) = (Simplify your answer.) 137. Multiply using the FOIL method. (y 9)(3y 1) (y 9)(3y 1) = 138. Multiply. (a 10)(a + 10) (a 10)(a + 10) = (Simplify your answer.)

21 1 of 3 4/9/018, 7:51 PM 139. Multiply. (10x + y)(10x y) (10x + y)(10x y) = (Simplify your answer.) 140. Find the product. (9x 5)(3x + 8) (9x 5)(3x + 8) = 141. Use a special product to multiply, if possible. (c 3b) Choose the expression equivalent to (c 3b). A. B. C. D. 4c + 9b 4c 1cb + 9b 4c 9b 4c + 1cb + 9b E. none of these 14. Simplify the following expression. 3 3 = (Type an integer or a simplified fraction.) 143. Divide using synthetic division. 7x + 11x + 8 ( x+1) 7x + 11x + 8 ( x+1 ) = 144. Find the GCF for the given list. 8, 8 The GCF is Factor out the greatest common factor from the polynomial. 5x x + 30 = (Type your answer in factored form.)

22 of 3 4/9/018, 7:51 PM 146. Factor the trinomial completely. x 3x 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x 3x 10= B. The polynomial is prime. (Type your answer in factored form.) 147. Factor the following binomial completely. 5x 196y Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 5x 196y = B. The polynomial is prime. (Factor completely.) 148. Solve the equation. x(x + 6) = 0 x = (Use a comma to separate answers as needed.) 149. Solve the equation. (8x + 9)(7x 8) = 0 x = (Simplify your answer. Type each solution only once. Use a comma to separate answers as needed.) 150. Solve the equation. x 10x + 16 = 0 x= (Simplify your answer. Type each solution only once. Use a comma to separate answers as needed.)

23 3 of 3 4/9/018, 7:51 PM 1. > A. = B. The answer is undefined.

24 4 of 3 4/9/018, 7:51 PM

25 5 of 3 4/9/018, 7:51 PM n a s x c n w y y 5. 4x x y + 9

26 6 of 3 4/9/018, 7:51 PM y y x A. (Type an integer or a simplified fraction.) =

27 7 of 3 4/9/018, 7:51 PM

28 8 of 3 4/9/018, 7:51 PM 87. 7,550 1, A. x= 0 (Simplify your answer. Type an integer or a fraction.) 89. B. The solution is all real numbers. 90. C. There is no solution. 91. C. There is no solution x 93. D. (, ) 94. A. [ 3, ) 95. (, ]

29 9 of 3 4/9/018, 7:51 PM A. The slope is 8. (Type an integer or a simplified fraction.) 100. B. The slope is undefined A. The slope is 17. (Simplify your answer.) A. The slope is 0. (Type an integer or a simplified fraction.) 103. A. The slope is 6.(Simplify your answer. Type an integer or a fraction.) A. The slope of the line is. (Simplify your answer.)

30 30 of 3 4/9/018, 7:51 PM y = x y = 4x Yes No 110. A. The solution is (,4). (Simplify your answer. Type an ordered pair.) 111. y p q z x a b c x 8 z 4 y c 14

31 31 of 3 4/9/018, 7:51 PM x y x y + 1y y 3y x 7x x 4x + 6x 16. a a y 1y x 8x x + 3x x x x 37x x + 69x x + 7x a a 40a x + 18x + 30x + 36

32 3 of 3 4/9/018, 7:51 PM x + 4x y + 4y y 56y a x y x + 57x B. 4c 1cb + 9b x x (x + 6) 146. A. x 3x 10= (x + )(x 5) (Type your answer in factored form.) 147. A. 5x 196y = (15x + 14y)(15x 14y) (Factor completely.) , , ,