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 Test Calculators and Practice Answers archive Word Problems Lessons In Depth

 Question 298822: A 3-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 3) ft. Find a polynomial for the remaining open space on the patio (in square feet). Click here to see answer by user_dude2008(1861)

 Question 298883: find the slope and the y intercept of y = -5/6 x -6/5 Click here to see answer by user_dude2008(1861)
 Question 298883: find the slope and the y intercept of y = -5/6 x -6/5 Click here to see answer by JATAZAH1000(3)
 Question 298883: find the slope and the y intercept of y = -5/6 x -6/5 Click here to see answer by london maths tutor(243)
 Question 298883: find the slope and the y intercept of y = -5/6 x -6/5 Click here to see answer by Alan3354(30924)

 Question 298862: By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. (a) If the cardboard is 15 in. long and 7 in. wide, find the dimensions of the box that will yield the maximum volume. Click here to see answer by Earlsdon(6287)

 Question 299312: the point that is symmetric to (7,9) with respect to the y-axis Click here to see answer by stanbon(57203)

 Question 299558: Can you help me with this equation? 0 + the squareroot of 2 Click here to see answer by helpnalgebra(91)

 Question 299685: if one third of a number exceeds one forth of that number by 16 , then the number is Click here to see answer by mananth(12269)

 Question 299790: Find all of the zeros of the function f(x)=6x^3-76X^2+256x-256 Click here to see answer by stanbon(57203)

 Question 299946: The organizer of a school concert set up chairs in two sections. the orchestra section has 84 chairs,and the audience section has 312 chairs. If all rows have the same number of chairs, what is the greatest number of chairs that each row can have? Click here to see answer by checkley77(12569)

 Question 300362: Multiple Choice 1. Find the distance between the points (12, 8) and (4, 2). 1. 100 units 2. 14 units 3. 10 units-answer 4. –10 units 2. Find the midpoint of the points (3, 1) and (7, –5). 1. (1, 6) 2. (2, 1) 3. (2, –3) 4. (5, –2)-answer 3. Find the vertex and focus of the parabola whose equation is 4y = x2 + 4. 1. V(0, 4), F(0, 3) 2. V(0, 1), F(0, 2)-answer 3. V(4, 0), F(3, 0) 4. V(1, 0), F(2, 0) 4. Find the center and radius of the circle whose equation is x2 + 10x + y2 = 75. 1. C(–10, 0), r = 100 2. C(–10, 0), r = 10 3. C(–5, 0), r = 100 4. C(–5, 0), r = 10 5. Find the foci of the ellipse with the following equation. 1. F1(5, –2), F2(–3, –2) 2. F1(1, 2), F2(1, –6) 3. F1(4, –2), F2(–2, –2) 4. F1(1, 1), F2(1, –5) 6. Find the slopes of the asymptotes of a hyperbola with the following equation. 1. 8/9 2. 9/8 3. 8/9, –8/9 4. 9/8, –9/8 7. Identify the type of equation presented in x2 + y2 – 4x + 12y – 6 = 0. 1. parabola 2. circle-answer 3. ellipse 4. hyperbola 8. Solve the following system of equations. x2 + y2 = 64 x2 + 64y2 = 64 1. (8, 0), (–8, 0) 2. (0, 8), (0, –8) 3. (8, 0) 4. (0, –8) 9. Find f(–2) for f(x) = –x3 – 2x2 + 7x + 1. 1. –1 2. –6 3. –13 4. –29 10. Identify the factors of the polynomial x3 + x2 – 14x – 24. 1. (x – 2)(x + 2)(x + 6) 2. (x + 2)(x + 3)(x – 4)-answer 3. (x + 1)(x – 3)(x + 8) 4. (x – 1)(x + 4)(x + 6) 11. Identify all rational zeros of the polynomial function f(x) = x3 + 2x2 – 5x – 6. 1. –1, 2, –3 2. –1, –2, 3 3. 1, –2, –3 4. 1, 2, 3 12. Identify all zeros of the polynomial function f(x) = x4 – 9x3 + 24x2 – 6x – 40. 1. –2, 4, 1 – i, 1 + i 2. –2, 4, 2 – i, 2 + i 3. –1, 4, 2 – i, 2 + i 4. –1, 4, 3 – i, 3 + i 13. Find f(g(–2)) if f(x) = 4x + 5 and g(x) = x2 – 1. 1. 8 2. 17 3. 12 4. 21 14. Identify the inverse of the function f(x) = –7x + 2. 1. 2. 3. 4. 15. Find the equations of the vertical and horizontal asymptotes for the graph of the rational function with the following equation. 1. x = 1, x = –5, y = 1 2. x = 1, x = –5, y = 0 3. x = –1, x = 5, y = 1 4. x = –1, x = 5, y = 0 16. If y varies inversely with x, and y = 6 when x = 18, find y when x = 8. 1. 13 ½-answer 2. 2 ⅔ 3. 12 4. 24 17. If y varies jointly as x and z, and y = 60 when x = 10 and z = –3, find y when x = 8 and z = 15. 1. –240 2. –120 3. –15 4. –9.6 18. Simplify the following expression. 1. 2. 3. 4. 19. Simplify the following expression. 1. 2. 3. 4. 20. Solve the following equation. 1. no solution 2. –2 3. 3 4. 3, –2 21. Chase can do a job in 4 hours, while Campbell can do the same job in 2 hours. How long will it take the two of them to do the job together? 1. 6 hours 2. 3 hours 3. 2 ⅔ hours 4. 1 ⅓ hours 22. Solve the equation 4(x + 2) = 8(x – 1). 1. 4 2. 5 3. 7-answer 4. 8 23. Solve the equation log8 (x2 + 4x) = log8 12. 1. 2 2. 6 3. –2, 6 4. 2, –6-answer 24. Solve the equation log2 3 = log2 (7x – 8) – log2 x. 1. no solution-answer 2. 1 3. 2 4. 4 25. Find the antilogarithm of 1.7. 1. .2304 2. .5306 3. 5.47 4. 50.12-answer 26. Solve the equation ln x = 2. Round the answer to four decimal places. 1. 7.3891 2. .3010 3. .6931 4. 100 27. Solve the equation 8(x – 2) = 5x. Round the answer to three decimal places. 1. 9.578 2. 8.850 3. 5.293 4. 6.147 Click here to see answer by Fombitz(13828)

 Question 300413: solve by graphing 3x+y=5,-2x+3y=4 How would you graph this???? I really need help! THANKYOU!! Click here to see answer by Fombitz(13828)

 Question 300348: solve the exponential equation algebraically. approximate the results(s) to three decimal places. 133=7e^0.085t Click here to see answer by Fombitz(13828)

 Question 300663: Write an equation of a circle whose center is (3,4) and a radius equals square root 8. Click here to see answer by Alan3354(30924)

 Question 300841: a square has a perimeter of 24 cm if the sides of the square are increased by 4 times what happens to the perimeter Click here to see answer by solver91311(16868)

 Question 300843: Mr. jones is visiting his son at college. After driving 180 miles he has completed 5/8 of the trip. How long is the total trip? Click here to see answer by solver91311(16868)

 Question 300947: when the digits of a two-digit number are reversed,the new number is 9 more than the original number,and the sum of the digits of the original number is 11.What is the original number? (No one seems to help answer my question) PLEASE someone help me! Much Thanks to whoever does =) Click here to see answer by ankor@dixie-net.com(15622)

 Question 301371: what is the average speed of a horse that traveled East for 25 km in 4 hours. Click here to see answer by JBarnum(2044)

 Question 301432: Factor by grouping v^2 - 2v + uv - 2u Click here to see answer by vleith(2825)

 Question 301670: How do you solve 2x + 5 = 7x – 20 Click here to see answer by richwmiller(9132)

 Question 301713: Larry Mitchell invested part of his \$17,000 advance at 2% annual simple interest and the rest at 9% annual simple interest. If his total yearly intrest from both accounts was \$1,390, find the amount invested at each rate. I am having a hard time with this word problem. Can you please help? I do not know where to begin or how to do it. Thank you, Maranda Click here to see answer by richwmiller(9132)

 Question 301652: A rectangular planter 6 inches tall has a length of 21 inches and a width of 13 inches. A gardener fills the planter1/3 full of potting soil. What is an expression used to find the amount of soil used? Click here to see answer by ankor@dixie-net.com(15622)

 Question 301869: what is the distance of points (4,10)and(8,5) and also what is the midpoint of the points. Click here to see answer by Alan3354(30924)

 Question 302263: parallel circuit find total resistor R1 = 12k R2 = 6K R3 = 3K Click here to see answer by london maths tutor(243)

 Question 303488: x^2-4 divided by x^3-12x+2 find the indefint integral Click here to see answer by jim_thompson5910(28476)

 Question 303474: whenever regression analysis is used to predict values of y that are within the range of the x data, the process is known as interpolation Click here to see answer by richwmiller(9132)

 Question 303647: Explain in words how to solve 4(y – 3y) – 19 = 32 Click here to see answer by graphmatics(170)

 Question 303712: Solve: 2c – 6 = 5(c – 3) Click here to see answer by london maths tutor(243)

 Question 303711: Solve: 4x + 8 = 6x – 4. Click here to see answer by london maths tutor(243)

 Question 303862: 6x__=36 How can I solve this I am lost. Can you please show me step by step. Thank you! Click here to see answer by london maths tutor(243)

 Question 303891: where: -1 ≤ x ≤ 2 Find the minimum, maximum, and range. What I've tried: We already know y = k so: y = k = 3 Next find the value for x: Plug in the variables from the equation: To solve, use: x= -b/2a so: x= -0/2(1) x=0 Vertex of a graph: (x,y) (0,3) To find the minimum and maximum, take the original equation and calculate using the 3 different variables for x we now have. (-1, 0, and 2; since -1 ≤ x ≤ 2) = 1 + 3 = 4 = 0 + 3 = 3 = 4 + 3 = 7 Minimum: 3 Maximum: 7 Range: [3,7] = 4 It's what I tried, but apparantly it's wrong. Can anyone help me see where I messed up? Thanks!!! Click here to see answer by scott8148(6628)

 Question 304084: Give a counterexample: the square of a number added to the sum of twice the number and 8 is a prime number. Click here to see answer by vleith(2825)

 Question 304085: A yardstick measures 0.5 by 2 by 36 inches. How many yardsticks will fit in a box 2.5 inches wide and 36 inches high, if the length of the box is 28 inches? Click here to see answer by vleith(2825)

 Question 304083: Sandra wants to place a utilitarian door on the back entrance that leads to her patio. The solid plastic laminate door will be shaped like a rectangular solid and will measure 72 3/4 inches long and 32 2/3 inches wide; and will be 1 3/8 inch thick. How many cubic inches of plastic laminate material will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer. Click here to see answer by mananth(12269)
 Question 304083: Sandra wants to place a utilitarian door on the back entrance that leads to her patio. The solid plastic laminate door will be shaped like a rectangular solid and will measure 72 3/4 inches long and 32 2/3 inches wide; and will be 1 3/8 inch thick. How many cubic inches of plastic laminate material will be needed for the door? Give solution exactly as a mixed number. Include correct units with your answer. Click here to see answer by Alan3354(30924)