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1 1 of 3 4/4/018, 11:38 AM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 018 Assignment: Math 0410 Homework149aleks 1 Insert < or > between the pair of integers to make the statement true 0 0 Simplify = 3 Simplify = (Simplify your answer) 4 Simplify 5 5 = 5 Simplify ( 7) ( 7)= 6 Add 9+0 The sum is 7 Evaluate 4 x + y for x =4 and y = 10 The result is 8 Subtract 6 ( 6) 6 ( 6)= 9 Perform the subtraction =

2 of 3 4/4/018, 11:38 AM 10 Perform the subtraction 4 ( 4) 4 ( 4)= 11 Subtract 3 ( 9) 3 ( 9 ) = 1 Perform the subtraction = 13 Evaluate x y for the given replacement values x=1and y= 4 x y = 14 0( 17) 0( 17 ) = 15 Evaluate 9 9 = 16 Evaluate ( ) 3 3 ( ) = 17 Find the quotient 60 1 Select the correct choice below and fill in any answer boxes in your choice A 60 = 1 B The answer is undefined

3 3 of 3 4/4/018, 11:38 AM 18 Find the quotient 1 0 Select the correct choice below and fill in any answer boxes in your choice A 1 = 0 B The answer is undefined 19 Evaluate ( 13) ( 13) = 0 ( 3) 3 ( 3) 3 = 1 Simplify 6( 7) + 5 6( 7) + 5 = Simplify ( 8)+9 3 ( 8)+9 3= 3 Simplify = 4 Simplify 9( 7) ( 15) 9( 7) ( 15)= 5 Simplify =

4 4 of 3 4/4/018, 11:38 AM 6 Simplify ( 1 39) 17 3 ( 1 39) 17 3 = 7 Simplify ( 15 53) 17 6 ( 15 53) 17 6 = 8 Simplify 3( 1) [5( 3) 7( )] 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 = 5 and y =6 x y x y= 31 Solve Check your solution x+3=7 The solution is x= 3 Solve Check your solution d 8= 14 The solution is d= 33 Solve Check your solution =y 8 The solution is y= 34 Solve the following equation Check the solution =x The solution is

5 5 of 3 4/4/018, 11:38 AM 35 Solve 9x = 18 The solution is x= 36 Solve 6z= 4 The solution is z= 37 Solve n = 5 3 The solution is n = 38 Solve 11 z = 99 The solution is z = 39 Solve 9 x= 0 The solution is x = 40 Solve 5x= 5 The solution is x = 41 Solve Check your solution d 4= 16 The solution is d= 4 Solve Check your solution =x+5 The solution is x= 43 Solve x = 4 6 The solution is x =

6 6 of 3 4/4/018, 11:38 AM 44 Simplify the expression by combining like terms r + 8r + 9r r + 8r + 9r = 45 (a 6) (a 6) = (Simplify your answer) 46 3(3p+7) 3(3p+7)= 47 Simplify the expression First use the distributive property to multiply and remove parentheses 6(x + 5) 7 6(x + 5) 7 = 48 Simplify the expression First use the distributive property to multiply and remove parentheses 8+6(3c 1) 8+6(3c 1)= 49 Simplify the expression First use the distributive property to multiply and remove parentheses 5(6n 6)+4n 5(6n 6)+4n= 50 Simplify the expression First use the distributive property to multiply and remove parentheses 5 + 7(w + 3) + w 5 + 7(w + 3) + w = 51 Simplify the expression First use the distributive property to multiply and remove parentheses (y 7)+9 (y 7)+9=

7 7 of 3 4/4/018, 11:38 AM 5 Simplify the expression 17y y 17y y = 53 Simplify the expression 4(x + ) (x + ) + 15 = 54 Simplify the expression 7 x+3x 9x 7 x+3x 9x= 55 Simplify the expression 6y (y 3)+4 6y (y 3)+4= 56 Find the area of the rectangle The area is sq in 8 inches 3y inches 57 Find the area of the rectangle The area is (Simplify your answer) sq mi (y+1) miles miles 58 Find the area of a rectangular movie screen that is 5 feet long and 38 feet high Use A = LW The area is square feet

8 8 of 3 4/4/018, 11:38 AM 59 A decorator wishes to put a wallpaper border around a rectangular room that measures 3 feet by 6 feet Find the room's perimeter Use P=L+W The perimeter of the room is feet 60 Find the perimeter of a triangular garden that measures 4feet by x feet by ( 6x+5) feet Use P=a+b+c The perimeter of the triangular garden is (Simplify your answer) feet 61 Solve First combine any like terms on each side of the equation 3w 6w = 15 w= 6 Solve the equation First combine any like terms on each side of the equation 5=t+4t The solution is t= 63 Solve the equation First combine any like terms on each side of the equation 5z = The solution is z= 64 Solve the equation First combine any like terms on each side of the equation 4x 4x=45 5 The solution is x= 65 Solve the equation First combine any like terms on each side of the equation x = x= 66 Solve and check the solution 4(x 3) = 9x x = 67 Solve First multiply to remove parentheses 43y = 7(6y 4) The solution is y=

9 9 of 3 4/4/018, 11:38 AM 68 Solve the equation 5(y 3)=3y 15 y= 69 Solve the equation 5(4x 3) = 1x x = 70 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 7 Add and simplify = (Type an integer or a simplified fraction) 73 Add and simplify = (Type an integer or a fraction) 74 Subtract = (Type an integer or a fraction)

10 10 of 3 4/4/018, 11:38 AM 75 Simplify the complex fraction = (Type an integer or a simplified fraction) 76 Solve the equation and check the solution x= 18= 3 11 x 77 Solve the equation m m = m= (Type an integer or a fraction Simplify your answer) 78 Solve 46x 65 = 3x + 4 x = (Type an integer or a decimal) 79 Solve the proportion x = 5 15 x = (Type an integer or a simplified fraction) 80 Write the percent as a decimal 787% 787 % = 81 Write the decimal as a percent = % (Simplify your answer Type an integer or a decimal)

11 11 of 3 4/4/018, 11:38 AM 8 Write the fraction as a percent = % (Simplify your answer) 83 A stereo normally priced at $ 609 is on sale for 35% off Find the discount and the sale price The discount is $ The sale price is $ 84 A company borrows $ 98,000 for 10 years at a simple interest rate of 95% Find the interest paid on the loan and the total amount paid The interest paid on the loan is $ The total amount paid is $ 85 Solve the equation for x 6(x 5) 5=5 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 86 Solve the equation for x 7(6x + 8) = 4x + 56 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 87 Solve the equation x x += 3 3 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

12 1 of 3 4/4/018, 11:38 AM 88 Solve the equation for x 6x 1=6(x+3) 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 89 Solve the equation for y 5x + y = 8 y= 90 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 < 15 is (Type your answer in interval notation) 91 Solve the inequality Graph the solution set and write it in interval notation 5x 5 Choose the correct graph below A B C D E F The solution to the inequality 5x 5is (Type your answer in interval notation)

13 13 of 3 4/4/018, 11:38 AM 9 Solve the inequality 4x+ (4 x) The solution set is (Type your answer in interval notation) 93 For the following equation, find three ordered pair solutions by completing the table Then use the ordered pairs to graph the equation y= x+1 Find three ordered pair solutions of the given equation x 0 1 y Use the graphing tool to graph the line 94 Graph the linear equation 1 y= x Use the graphing tool to graph the linear equation 95 Plot the intercepts to graph the equation 4x y= 4 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

14 14 of 3 4/4/018, 11:38 AM 96 Find the slope of the line that goes through the given points (5, ) and (3, 8) 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 97 Find the slope of the line that goes through the given points (4, 9) and (4, 5) 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 98 Find the slope of the line that goes through the given points ( 1, 4) and (6, 8) 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 99 Find the slope of the line that goes through the given points (4,) and ( 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 100 Find the slope of the line 4x + y = 6 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 101 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

15 15 of 3 4/4/018, 11:38 AM 10 Use the slope-intercept form to graph the equation 3x 4y = 1 Use the graphing tool to graph the line Use the slope and y-intercept when drawing the line 103 Find the slope-intercept form of the line whose slope is 7 and that passes through the point ( 5,9) The equation of the line is (Type your answer in slope-intercept form) 104 Find the slope-intercept equation of the line that has the given characteristics Slope 8and y-intercept (0, 4) The equation is (Simplify your answer Type your answer in slope-intercept form Use integers or fractions for any numbers in the equation) 105 Find the value of x 5x+3 for the given value of x x= 1 The value of the polynomial for x = 1is (Simplify your answer) 106 Determine whether each ordered pair is a solution of the system of linear equations a (4,5) b (5,8) 3x y = 7 x+4y=4 a Is (4,5) a solution? Yes No b Is (5,8) a solution? No Yes

16 16 of 3 4/4/018, 11:38 AM 107 Solve the system of equations by the addition method 4x + y = 10 x y = 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) 4x+y=10 } or {(x,y) x y = } C There is no solution; {} or 108 Use the product rule to simplify the expression 9 z z 9 z z = 109 Use the power rule to simplify the expression x 5 9 x 5 9 = (Simplify your answer Type exponential notation with positive exponents) 110 Simplify the expression Assume that all bases are not equal to 0 4x 5 y z x 3 yz 4x 5 y z x 3 = yz 111 If P(x) =x +x+1, find P( 6) P( 6 ) = 11 If Q(x) =4x 1, find Q( 10) Q( 10 ) = 113 Perform the indicated operation ( 9x 1 ) + ( 1x 9x + 5) ( 9x 1 ) + ( 1x 9x + 5) = (Simplify your answer)

17 17 of 3 4/4/018, 11:38 AM 114 Subtract 4y + y 4 ( 7y + ) 4y + y 4 ( 7y + ) = (Simplify your answer) 115 Add 7y 4y + 5y +y 6 7y 4y + 5y +y 6 = (Do not factor) 116 Add the polynomials 4 4 ( 11x 3x) + ( 6x x+10) 4 4 ( 11x 3x) + ( 6x x+10) = (Simplify your answer Do not factor) 117 5x 4x x + 3 5x 4x x + 3 = (Simplify your answer) 118 (x + 4)(x + ) (x + 4)(x + ) = (Simplify your answer) 119 (a + 5)(a 8) (a + 5)(a 8) = 10 Find the following product ( 4y + 1) ( 4y + 1) = 11 (4x 8)(3x 5) (4x 8)(3x 5) = (Simplify your answer)

18 18 of 3 4/4/018, 11:38 AM 1 (x 5) x 4x + 3 (x 5) x 4x + 3 = 13 3 (x + 4) x 5x (x + 4) x 5x + 7 = 14 Find the following product (9a+6) 8a +4a+9 (9a+6) 8a +4a+9 = 15 Multiply vertically (7x 1)(6x + 1) (7x 1)(6x + 1) = 16 Multiply vertically ( 6x + 1)( 4x + 5x 1) ( 6x + 1)( 4x + 5x 1) = (Simplify your answer) 17 (y + 13)(4y + 1) (y + 13)(4y + 1) = (Simplify your answer) 18 Find the following product (9x 7) (9x 7) = 19 (a+4) a 7a+7 (a+4) a 7a+7 =

19 19 of 3 4/4/018, 11:38 AM 130 (6x 5) x 5x 6 (6x 5) x 5x 6 = (Do not factor Simplify your answer) 131 (4x 9)(3x + 9) (4x 9)(3x + 9) = (Simplify your answer) 13 Use FOIL to multiply (x + 8)(x + 9) (x + 8)(x + 9) = (Simplify your answer) 133 Find the product using the FOIL method (x 7)(x + 4) (x 7)(x + 4) = 134 Use FOIL to multiply (3y 4)(y + 3) (3y 4)(y + 3) = (Simplify your answer) 135 Multiply using the FOIL method 7(y 8)(4y 1) 7(y 8)(4y 1) = 136 (5x 6) (5x 6) = (Simplify your answer) 137 (a 10)(a + 10) (a 10)(a + 10) = (Simplify your answer) 138 (x + y)(x y) (x + y)(x y) = (Simplify your answer)

20 0 of 3 4/4/018, 11:38 AM 139 Find the product (4x 3)(x + 3) (4x 3)(x + 3) = 140 Use a special product to multiply, if possible (4c 5b) Choose the expression equivalent to (4c 5b) A B C D 16c + 40cb + 5b 16c 5b 16c + 5b 16c 40cb + 5b E none of these 141 Simplify the following expression = (Type an integer or a simplified fraction) 14 Divide using synthetic division 7x + 1x + 8 ( x+1) 7x + 1x + 8 ( x+1 ) = 143 Find the GCF for the given list 16, 40 The GCF is 144 Factor out the greatest common factor from the polynomial 4x + 4 4x + 4 = (Type your answer in factored form) 145 Factor the trinomial completely x x 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice A x x 0= B The polynomial is prime (Type your answer in factored form)

21 1 of 3 4/4/018, 11:38 AM 146 Factor the following binomial completely 144x 11y Select the correct choice below and, if necessary, fill in the answer box to complete your choice A 144x 11y = B The polynomial is prime (Factor completely) 147 Solve the equation x(x + 8) = 0 x = (Use a comma to separate answers as needed) 148 Solve the equation (3x + 8)(7x 8) = 0 x = (Simplify your answer Type each solution only once Use a comma to separate answers as needed) 149 Solve the equation x 11x + 8 = 0 x= (Simplify your answer Type each solution only once Use a comma to separate answers as needed)

22 of 3 4/4/018, 11:38 AM 1 > A = B The answer is undefined

23 3 of 3 4/4/018, 11:38 AM

24 4 of 3 4/4/018, 11:38 AM r 45 a p x c n w y y 53 4x x + 5

25 5 of 3 4/4/018, 11:38 AM 55 4y y 57 44y x A (Type an integer or a simplified fraction) = 14 5

26 6 of 3 4/4/018, 11:38 AM , , A x= 0 (Simplify your answer Type an integer or a fraction) 86 B The solution is all real numbers 87 C There is no solution

27 7 of 3 4/4/018, 11:38 AM 88 C There is no solution x 90 B (, 3) 91 C [ 5, ) 9 (, 3]

28 8 of 3 4/4/018, 11:38 AM A The slope is 3 (Type an integer or a simplified fraction) 97 B The slope is undefined 98 A The slope is 4 (Simplify your answer) 7 99 A The slope is 0 (Type an integer or a simplified fraction) 100 A The slope is 4 (Simplify your answer Type an integer or a fraction) A The slope of the line is (Simplify your answer)

29 9 of 3 4/4/018, 11:38 AM y = 7x y = 8x Yes No 107 A The solution is (,) (Simplify your answer Type an ordered pair) 108 z x x y x y + 9y 6

30 30 of 3 4/4/018, 11:38 AM 115 y y x 4x x 10x + 15x 118 x +6x a 3a y + 8y x 44x x 9x + 3x x + 4x 5x 13x a + 84a + 105a x 65x x +34x x y + 53y x 16x a 3a 1a x 40x 11x x + 9x 81

31 31 of 3 4/4/018, 11:38 AM 13 x +17x x 3x y + 5y y 31y x 60x a x y 139 8x + 6x D 16c 40cb + 5b x x (x + 6) 145 A x x 0= (x + 4)(x 5) (Type your answer in factored form) 146 A 144x 11y = (1x + 11y)(1x 11y) (Factor completely) 147 0, 8

32 3 of 3 4/4/018, 11:38 AM , ,7