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# Recent problems solved by 'algebrahouse.com'

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 Linear-equations/427556: What is the parallel line for y= -4x+1? 1 solutions Answer 297313 by algebrahouse.com(1079)   on 2011-03-26 21:17:30 (Show Source): You can put this solution on YOUR website!What is the parallel line for y = -4x + 1? Parallel lines have equal slopes, therefore a line parallel to y = -4x + 1, would have the same slope. Slope-intercept form is y = mx + b m is the slope b is the y-interecept In y = -4x + 1 slope = -4x A line parallel to that, could be: y = -4x y = -4x + 7 y = -4x - 5 Any of those would be parallel to it. www.algebrahouse.com
 test/427552: Is it possible to factor? If so how? * (8x-5) (4x+12) *1 solutions Answer 297306 by algebrahouse.com(1079)   on 2011-03-26 20:57:36 (Show Source): You can put this solution on YOUR website!Is it possible to factor? If so how? (8x - 5)(4x + 12) = (8x - 5)(4)(x + 3) {factored 4 out of the second set of parentheses} = 4(x + 3)(8x - 5) {re-arranged} www.algebrahouse.com
 Equations/427524: solve the following equation for m p=6n-5m/141 solutions Answer 297302 by algebrahouse.com(1079)   on 2011-03-26 20:47:17 (Show Source): You can put this solution on YOUR website! solve the following equation for m p = 6n - 5m/14 p - 6n = -5m/14 {subtracted 6n from both sides} 14p - 84n = -5m {multiplied both sides by 14} 14p - 84n --------- = m {divided both sides by -5} -5 www.algebrahouse.com
 Linear-equations/427333: Solve the following equation for s r = 10t - 3s/16 1 solutions Answer 297187 by algebrahouse.com(1079)   on 2011-03-26 11:57:10 (Show Source): You can put this solution on YOUR website!Solve the following equation for s r = 10t - 3s/16 r - 10t = -3s/16 {subtracted 10t from both sides} 16(r - 10t) = -3s {multiplied both sides by 16} 16r - 160t = -3s {used distributive property} 16r - 160t ----------- = s {divided both sides by -3} -3 www.algebrahouse.com
 Rectangles/427318: A rectangle's length is 4 more than 4 times the width. The perimeter is 88 feet. What is the length and width of the rectangle? Use variables to label the rectangle. then show your work for checking your answer.1 solutions Answer 297170 by algebrahouse.com(1079)   on 2011-03-26 10:36:19 (Show Source): You can put this solution on YOUR website!"A rectangle's length is 4 more than 4 times the width. The perimeter is 88 feet. What is the length and width of the rectangle? Use variables to label the rectangle. then show your work for checking your answer." x = width 4x + 4 = length {length is 4 more than 4 times width} Perimeter of a rectangle = 2(width) + 2(length) 2x + 2(4x + 4) = 88 {perimeter is 2(width) + 2(length)} 2x + 8x + 8 = 88 {used distributive property} 10x + 8 = 88 {combined like terms} 10x = 80 {subtracted 8 from both sides} x = 8 {divided both sides by 10} 4x + 4 = 36 {substituted 8, in for x, into 4x + 4} width = 8 length = 36 Perimeter of a rectangle = 2(width) + 2(length) = 2(8) + 2(36) = 16 + 72 = 88 www.algebrahouse.com
 Polynomials-and-rational-expressions/427319: multiply -3x^2(2x+2)=1 solutions Answer 297169 by algebrahouse.com(1079)   on 2011-03-26 10:30:54 (Show Source): You can put this solution on YOUR website!multiply -3x^2(2x + 2) = -3x^2(2x) - 3x^2(2) {used distributive property} = -6x^3 - 6x^2 {multiplied and added the exponents when multiplying} www.algebrahouse.com
 Polynomials-and-rational-expressions/427311: collect like terms 7x^3+3x^3+3=1 solutions Answer 297168 by algebrahouse.com(1079)   on 2011-03-26 10:28:35 (Show Source): You can put this solution on YOUR website!Like terms have the same variable and exponent. 7x^3 +3x^3 + 3 = 10x^3 + 3 {combined 7x^3 and 10x^3} www.algebrahouse.com
 Geometric_formulas/427256: x^2+13x+30=0 1 solutions Answer 297115 by algebrahouse.com(1079)   on 2011-03-26 00:50:21 (Show Source): You can put this solution on YOUR website!x^2 + 13x + 30 = 0 (x + 10)(x + 3) = 0 {factored into two binomials} x + 10 = 0 or x + 3 = 0 {set each factor equal to 0} x = -10 or x = -3 {solved each equation for x} www.algebrahouse.com
 Graphs/427226: FIND THE SLOPE OF Y=-51 solutions Answer 297107 by algebrahouse.com(1079)   on 2011-03-25 22:59:15 (Show Source): You can put this solution on YOUR website!"FIND THE SLOPE OF Y=-5" Slope-intercept form is y = mx + b m is the slope b is the y-intercept y = -5 y = 0x - 5 {put a 0x in, to show the slope} m = 0 slope = 0 www.algebrahouse.com
 Linear-equations/427239: graph line passing through given point and having given slope (0,1), m=41 solutions Answer 297103 by algebrahouse.com(1079)   on 2011-03-25 21:49:23 (Show Source): You can put this solution on YOUR website!"graph line passing through given point and having given slope (0,1), m=4" (0,1) , m = 4 To graph: - put a point on (0,1) - from there, go up 4 and to the right one, and put another point, since the slope is 4 {that is 4/1 as rise/run} - draw a line through the two points www.algebrahouse.com
 Linear-equations/427238: graph by using slope and y-intercept. 2x+y=-51 solutions Answer 297099 by algebrahouse.com(1079)   on 2011-03-25 21:41:44 (Show Source): You can put this solution on YOUR website!graph by using slope and y-intercept. 2x + y = -5 Slope-intercept form is y = mx + b m is the slope b is the y-intercept 2x + y = -5 y = -2x - 5 {got in slope-intercept form} slope = -2 or -2/1 {rise over run} y-intercept = -5 To graph: - put a point on -5 on the y-axis, that is the y-intercept - from there, go down 2 and to the right 1 and put another point, since the slope is -2/1 - draw a line through the two points www.algebrahouse.com
 Coordinate-system/427237: During one year, the Gilmores real estate bill included \$294 for miscellaneous services of this amount, 62% went to the library fund. How much money did the library receive?1 solutions Answer 297098 by algebrahouse.com(1079)   on 2011-03-25 21:38:04 (Show Source): You can put this solution on YOUR website!62% of 294 = 294(.62) {changed 62% to decimal by moving decimal point left two, and multiplied by 294} = \$182.28 {multiplied} www.algebrahouse.com
 Systems-of-equations/427129: Solve the equation. 9x = 3x^3 3x^3-9x=0{subtracted 9x from both sides} 3x(x^2-3){factored 3x out} sqrt(x^2)=+-sqrt(3) {to take away ^2} x=+-sqrt(3)1 solutions Answer 297086 by algebrahouse.com(1079)   on 2011-03-25 20:54:48 (Show Source): You can put this solution on YOUR website!Solve the equation. 9x = 3x^3 3x^3 - 9x = 0 {subtracted 9x from both sides} 3x(x^2 - 9) = 0 {factored 3x out} 3x(x + 3)(x - 3) = 0 {factored x2 - 9 into two binomials} 3x = 0 or x + 3 = 0 or x - 3 = 0 {set each factor equal to 0} x = 0 or x = -3 or x = 3 {solved each equation for x} x = 0,-3, or 3 www.algebrahouse.com
 Coordinate-system/427196: solve 20x-3(7x+6)< -8x +161 solutions Answer 297084 by algebrahouse.com(1079)   on 2011-03-25 20:50:45 (Show Source): You can put this solution on YOUR website! 20x - 3(7x + 6) < -8x + 16 20x - 21x - 18 < -8x + 16 {used distributive property} -x - 18 < -8x + 16 {combined like terms} -x < -8x + 34 {added 18 to both sides} 7x < 34 {added 8x to both sides} x < 34/7 {divided both sides by 7} www.algebrahouse.com
 test/426578: 3 3/4 divided by 1 5/71 solutions Answer 296724 by algebrahouse.com(1079)   on 2011-03-24 11:41:06 (Show Source): You can put this solution on YOUR website!3 3/4 divided by 1 5/7 3 3/4 ÷ 1 5/7 = 15/4 ÷ 12/7 {changed to improper fractions} = 15/4 x 7/12 {multiplied by reciprocal} = 35/16 {cancelled 15 and 12 and multiplied what's left} www.algebrahouse.com
 Linear-equations/426560: the equation of the horizontal line passing through the point (-1,-8)1 solutions Answer 296711 by algebrahouse.com(1079)   on 2011-03-24 10:27:07 (Show Source): You can put this solution on YOUR website!"the equation of the horizontal line passing through the point (-1,-8)" y = -8 is the equation of the horizontal line passing through the point (-1,-8) A horizontal line will start off "y = " and then be the y-coordinate on the other side of the equal sign A vertical line will start off "x = " and then be the x-coordinate on the other side of the equal sign. www.algebrahouse.com
 Linear-equations/426563: The equation of the vertical line passing through the point (3,1)1 solutions Answer 296710 by algebrahouse.com(1079)   on 2011-03-24 10:24:22 (Show Source): You can put this solution on YOUR website!"The equation of the vertical line passing through the point (3,1)" x = 3 is the equation of the vertical line through the point (3,1) A vertical line will start off "x = " and then be the x-coordinate on the other side of the equal sign. A horizontal line will start off "y = " and then be the y-coordinate on the other side of the equal sign www.algebrahouse.com
 Linear-equations/426558: Could someone please check and see if I came up with the right answer? graph the equation and identify the y intercept, 2y+3x=-2 y=(0,2) x=(3,0)1 solutions Answer 296709 by algebrahouse.com(1079)   on 2011-03-24 10:18:23 (Show Source): You can put this solution on YOUR website! To get the x-intercept, put 0 in for y To get the y-intercept, put 0 in for x 2y + 3x = -2 For the x-intercept: 2(0) + 3x = -2 {substituted 0 in for y} 3x = -2 {multiplied 2 by 0} x = -2/3 {divided both sides by 3} x-intercept is (-2/3,0) For the y-intercept: 2y + 3(0) = -2 {substituted 0 in for x} 2y = -2 {multiplied 3 by 0} y = -1 {divided both sides by 2} y-intercept is (0,-1) www.algebrahouse.com
 Graphs/426555: Find the equation of a line that passes through the point (1,2) and has a slope of 1/3. Show how you found the equation. My book doesn't show how to solve with a fraction involved.... This is my attempt at the equation. y=1/3x+2 is this correct?1 solutions Answer 296707 by algebrahouse.com(1079)   on 2011-03-24 10:12:54 (Show Source): You can put this solution on YOUR website!This is one way to do it: (1,2), m = 1/3 y - y1 = m(x - x1) is point-slope form y - 2 = 1/3(x - 1) {substituted point and slope into point-slope form} y - 2 = 1/3x - 1/3 {used distributive property} y = 1/3x + 5/3 {added 2 to both sides} www.algebrahouse.com
 Mixture_Word_Problems/426338: I wish to spray a tree. The recipe calls for 60 lbs of baking soda in a 100 gallons of water. Obviously not everyone has a 100 gallon sprayer. To spray this tree a one gallon sprayer will be used. How much baking soda will be used? 1 solutions Answer 296579 by algebrahouse.com(1079)   on 2011-03-23 20:10:08 (Show Source): You can put this solution on YOUR website!Use a proportion: 60 lbs / 100 gal = x lbs / 1 gal 100x = 60 {cross-multiplied} x = .6 {divided both sides by 100} .6 lbs is to be used or 16 oz = 1 lb. .6(16) = 9.6 ounces is to be used www.algebrahouse.com
 Numbers_Word_Problems/426311: the second of two numbers is two more than three times the first number. Their sum is negative twenty-two1 solutions Answer 296571 by algebrahouse.com(1079)   on 2011-03-23 19:53:13 (Show Source): You can put this solution on YOUR website!"the second of two numbers is two more than three times the first number. Their sum is negative twenty-two" x = first number 3x + 2 = second number {2nd is two more than three times first} x + 3x + 2 = -22 {sum is negative twenty-two} 4x + 2 = -22 {combined like terms} 4x = -24 {subtracted 2 from both sides} x = -6 {divided both sides by 4} 3x + 2 = -16 {substituted -6, in for x, into 3x + 2} -6 and -16 are the two numbers www.algebrahouse.com
 Problems-with-consecutive-odd-even-integers/426200: five more than three times a number n is thirty1 solutions Answer 296539 by algebrahouse.com(1079)   on 2011-03-23 17:31:37 (Show Source): You can put this solution on YOUR website!"five more than three times a number n is thirty" n = the number 3n + 5 = 30 {five more than three times a number "n" is thirty} 3n = 25 {subtracted 5 from both sides} n = 25/3 {divided both sides by 3} the number is 25/3 www.algebrahouse.com
 Linear_Equations_And_Systems_Word_Problems/426196: A 13-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x. 1 solutions Answer 296538 by algebrahouse.com(1079)   on 2011-03-23 17:28:50 (Show Source): You can put this solution on YOUR website!"A 13-foot board is cut into two pieces. If one piece is x feet long, express the other length in terms of x. " x = one piece 13 - x = other piece {the original 13 foot piece minus the other cut piece} www.algebrahouse.com
 Age_Word_Problems/426115: John is 5 times as old as he was 40 years ago so how old is he now/1 solutions Answer 296533 by algebrahouse.com(1079)   on 2011-03-23 17:10:50 (Show Source): You can put this solution on YOUR website!"John is 5 times as old as he was 40 years ago so how old is he now" x = his age now x - 40 = his age 40 years ago x = 5(x - 40){now, he is five times his age 40 years ago} x = 5x - 200 {used distributive property} -4x = -200 {subtracted 5x from both sides} x = 50 {divided both sides by -4} John is 50 now www.algebrahouse.com
 Coordinate-system/426143: which is not a linear equation A.3X+2Y=7 B.Y=15X-22 C.4X=8-Y D.Y=X TO THE 2ND POWER-1=X2-11 solutions Answer 296530 by algebrahouse.com(1079)   on 2011-03-23 17:06:18 (Show Source): You can put this solution on YOUR website!D is not a linear equation, because of the x^2 www.algebrahouse.com
 Numbers_Word_Problems/426172: the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number1 solutions Answer 296529 by algebrahouse.com(1079)   on 2011-03-23 17:03:34 (Show Source): You can put this solution on YOUR website!"the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number" x = one number 6x - 10 {greater number is 10 less than product of 6 and smaller} x + 6x - 10 = 25 {sum of two numbers is 25} 7x - 10 = 25 {combined like terms} 7x = 35 {added 10 to both sides} x = 5 {divided both sides by 7} the smaller number is 5 www.algebrahouse.com
 Inequalities/426004: solve the inequalities 15>-m+61 solutions Answer 296443 by algebrahouse.com(1079)   on 2011-03-23 11:40:38 (Show Source): You can put this solution on YOUR website!15 > -m + 6 9 > -m {subtracted 6 from both sides} -9 < m {divided both sides by -1 and changed the inequality sign} m > -9 {flipped entire inequality around, so that m is first} Note - Whenever you multiply or divide both sides of an inequality by a negative number, you have to change the inequality sign www.algebrahouse.com
 Numbers_Word_Problems/424830: The sum of two numbers is 32 and the difference is 14. Find the two numbers...... Thank You very much :)1 solutions Answer 296035 by algebrahouse.com(1079)   on 2011-03-20 22:37:58 (Show Source): You can put this solution on YOUR website!"The sum of two numbers is 32 and the difference is 14. Find the two numbers...... Thank You very much" x = one number y = other number x + y = 32 {sum of two numbers is 32 x - y = 14 {difference is 14} ----------- 2x = 46 {added the two equations together} x = 23 {divided both sides by 2} x + y = 32 {top equation} 23 + y = 32 {substituted 23, in for x, into top equation} y = 9 {subtracted 23 from both sides} 23 and 9 are the two numbers www.algebrahouse.com
 test/424804: Marge is twice as old as consuelo.the sum of their ages seven years ago was 13 how old are they now ?1 solutions Answer 296025 by algebrahouse.com(1079)   on 2011-03-20 21:59:14 (Show Source): You can put this solution on YOUR website!"Marge is twice as old as consuelo.the sum of their ages seven years ago was 13 how old are they now ? x = Consuelo's age now 2x = Marge's age now x - 7 = Consuelo's age 7 yrs ago 2x - 7 = Marge's age 7 yrs ago x - 7 + 2x - 7 = 13 {sum of ages 7 yrs ago was 13} 3x - 14 = 13 {combined like terms} 3x = 27 {added 14 to both sides} x = 9 {divided both sides by 3} 2x = 18 {substituted 9, in for x, into 2x} Consuelo is 9 now Marge is 18 now www.algebrahouse.com
 Radicals/424019: Find a number such that twice its square root is 28.1 solutions Answer 295690 by algebrahouse.com(1079)   on 2011-03-18 22:24:53 (Show Source): You can put this solution on YOUR website!"Find a number such that twice its square root is 28." x = the number 2√x = 28 {twice the number's square root is 28} √x = 14 {divided both sides by 2} x = 196 {squared both sides} 196 is the number www.algebrahouse.com
 test/424021: Andy is four times as old as Wendy . In twelve years Wendy's age will be half of Andy's.find their ages now.1 solutions Answer 295689 by algebrahouse.com(1079)   on 2011-03-18 22:22:32 (Show Source): You can put this solution on YOUR website!"Andy is four times as old as Wendy . In twelve years Wendy's age will be half of Andy's.find their ages now." x = Wendy's age now 4x = Andy's age now x + 12 = Wendy's age in 12 years 4x + 12 = Andy's age in 12 years x + 12 = (1/2)(4x + 12) {in twelve years, Wendy's age will equal half Andy's age} x + 12 = 2x + 6 {used distributive property} 12 = x + 6 {subtracted x from both sides} x = 6 {subtracted 6 from both sides} 4x = 24 {substituted 6, in for x, into 4x} Wendy is 6 now and Andy is 24 now www.algebrahouse.com