document.write( "Question 490731: I need to pass the real test. So can someone please tell me if i got these questions wrong or right.
\n" ); document.write( "it will really be a BIG help.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Questions 1-3 Simplify the expression:\r
\n" ); document.write( "\n" ); document.write( "1. x2-4x+4(x2+2x-5) Answer: 5x2+12x-20
\n" ); document.write( "2. 5x2+4x-6(3x2-2) Answer: -13x2+4x-12
\n" ); document.write( "3. x2(4x-x+6) Answer: 3x2+6
\n" ); document.write( "Multiply the binomials:
\n" ); document.write( "4. (a+b)(a-b) Answer: a2-b2
\n" ); document.write( "Questions Multiply 5-9:
\n" ); document.write( "5. (4a+x)(3a-x) Answer: 12a2+7ax-x2
\n" ); document.write( "6. h2(5h+4) Answer: 5h3+4h2
\n" ); document.write( "7. (x+3)2 Answer: x2+9
\n" ); document.write( "8. (d-5)2 Answer: d2-25
\n" ); document.write( "9. (2x2)(x+4)(x-4) Answer: 2x4-16
\n" ); document.write( "11. To graphically solve the quadratic equation x2+3x-10=5. Answer: Use the quadratic formula, letting a=1, b=3, and c=-15.
\n" ); document.write( "12. If the garden box has dimensions x by x feet and an area in square feet equal to the perimeter in feet, what is the value for x that satisfies the requirements? (Hint: The box is square.) Answer: There is not enough information in the problem.
\n" ); document.write( "13. Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation. Answer: 3n+3=4n
\n" ); document.write( "14. Factor the trinomial b2-b-6. Answer: (b+3)(b-2)
\n" ); document.write( "15. Factor the binomial x2-64. Answer: (x-8)(x+8)
\n" ); document.write( "16. Factor the binomial 9a2-16. Answer: (3a-4)(3a+4)
\n" ); document.write( "17. Factor the equation x2=x+20. Answer: (x+5)(x+4)
\n" ); document.write( "18. Solve the equation x2+5x-4=0 using the quadratic formula. Answer: x=.702 and -5.702
\n" ); document.write( "19.Solve the equation 3m2+6m=3 using the quadratic formula. Answer: x=2.5 and -14.5
\n" ); document.write( "Questions 20-21 write the value of the discriminant of each equation, decide how many different real-number roots the equation has, and determine how many points the parabola will interact with the x-axis. Do not solve the equation.
\n" ); document.write( "20. x2+7x+9=0 Answer: Discriminant is 13,indicating there are two real roots, with the parabola intersecting the x-axis at two points.
\n" ); document.write( "21. 2x2+5x+7=0 Answer: Discriminant is -31, indicating there are no real roots, with the parabola not intersecting the x-axis at all. Thanks :C
\n" ); document.write( "

Algebra.Com's Answer #334264 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Questions 1-3 Simplify the expression:
\n" ); document.write( "1. x2-4x+4(x2+2x-5) Answer: 5x2+12x-20
\n" ); document.write( "That can't be right. Are you supposed to multiply?
\n" ); document.write( "--------------
\n" ); document.write( "2. 5x2+4x-6(3x2-2) Answer: -13x2+4x-12
\n" ); document.write( "Same as #1
\n" ); document.write( "-----------
\n" ); document.write( "3. x2(4x-x+6) Answer: 3x2+6
\n" ); document.write( "Same as #1
\n" ); document.write( "------------
\n" ); document.write( "Multiply the binomials:
\n" ); document.write( "4. (a+b)(a-b) Answer: a2-b2
\n" ); document.write( "= \"a%5E2+-+b%5E2\", correct.
\n" ); document.write( "----------------
\n" ); document.write( "Questions Multiply 5-9:
\n" ); document.write( "5. (4a+x)(3a-x) Answer: 12a2+7ax-x2
\n" ); document.write( "It's -4ax and + 3ax
\n" ); document.write( "--> \"12a%5E2+-+ax+-+x%5E2\"
\n" ); document.write( "-----------------
\n" ); document.write( "6. h2(5h+4) Answer: 5h3+4h2 Correct
\n" ); document.write( "7. (x+3)2 Answer: x2+9
\n" ); document.write( "\"%28x%2B3%29%5E2+=+x%5E2+%2B+6x+%2B+9\"
\n" ); document.write( "-------------
\n" ); document.write( "8. (d-5)2 Answer: d2-25
\n" ); document.write( "Do it like #7
\n" ); document.write( "----------------
\n" ); document.write( "9. (2x2)(x+4)(x-4) Answer: 2x4-16
\n" ); document.write( "No.
\n" ); document.write( "= \"%282x%5E2%2A%28x%5E2+-+16%29\"
\n" ); document.write( "----------------
\n" ); document.write( "11. To graphically solve the quadratic equation x2+3x-10=5. Answer: Use the quadratic formula, letting a=1, b=3, and c=-15.
\n" ); document.write( "12. If the garden box has dimensions x by x feet and an area in square feet equal to the perimeter in feet, what is the value for x that satisfies the requirements? (Hint: The box is square.) Answer: There is not enough information in the problem.
\n" ); document.write( "13. Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation. Answer: 3n+3=4n
\n" ); document.write( "-------------------
\n" ); document.write( "14. Factor the trinomial b2-b-6. Answer: (b+3)(b-2)
\n" ); document.write( "If you multiply your answer, you'll see the sign of b is wrong.
\n" ); document.write( "---------------------
\n" ); document.write( "15. Factor the binomial x2-64. Answer: (x-8)(x+8) Correct
\n" ); document.write( "-----------------
\n" ); document.write( "16. Factor the binomial 9a2-16. Answer: (3a-4)(3a+4) Correct
\n" ); document.write( "-----------------
\n" ); document.write( "17. Factor the equation x2=x+20. Answer: (x+5)(x+4)
\n" ); document.write( "Equations are solved, not factored ????
\n" ); document.write( "----------------
\n" ); document.write( "18. Solve the equation x2+5x-4=0 using the quadratic formula. Answer: x=.702 and -5.702
\n" ); document.write( "Solve by factoring.
\n" ); document.write( "\"x%5E2%2B5x-4=0\"
\n" ); document.write( "(x-4)*(x-1) = 0
\n" ); document.write( "x = 1, 4
\n" ); document.write( "----------
\n" ); document.write( "19.Solve the equation 3m2+6m=3 using the quadratic formula. Answer: x=2.5 and -14.5
\n" ); document.write( "3m2+6m=3
\n" ); document.write( "\"m%5E2+%2B+2m+-+1+=+0\"
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"1x%5E2%2B2x%2B-1+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%282%29%5E2-4%2A1%2A-1=8\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=8 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-2%2B-sqrt%28+8+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%282%29%2Bsqrt%28+8+%29%29%2F2%5C1+=+0.414213562373095\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%282%29-sqrt%28+8+%29%29%2F2%5C1+=+-2.41421356237309\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B2x%2B-1\" can be factored:
\n" ); document.write( " \"1x%5E2%2B2x%2B-1+=+%28x-0.414213562373095%29%2A%28x--2.41421356237309%29\"
\n" ); document.write( " Again, the answer is: 0.414213562373095, -2.41421356237309.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-1+%29\"

\n" ); document.write( "\n" ); document.write( "m = x
\n" ); document.write( "--------------
\n" ); document.write( "\"m+=+-1+%2B+sqrt%282%29\"
\n" ); document.write( "\"m+=+-1+-+sqrt%282%29\"
\n" ); document.write( "--------------------------------------
\n" ); document.write( "Questions 20-21 write the value of the discriminant of each equation, decide how many different real-number roots the equation has, and determine how many points the parabola will interact with the x-axis. Do not solve the equation.
\n" ); document.write( "20. x2+7x+9=0 Answer: Discriminant is 13,indicating there are two real roots, with the parabola intersecting the x-axis at two points.
\n" ); document.write( "Correct.
\n" ); document.write( "-----------------
\n" ); document.write( "21. 2x2+5x+7=0 Answer: Discriminant is -31, indicating there are no real roots, with the parabola not intersecting the x-axis at all.
\n" ); document.write( "Correct.
\n" ); document.write( "
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