{"id":1313,"date":"2021-12-02T19:37:26","date_gmt":"2021-12-03T00:37:26","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-b\/"},"modified":"2022-11-02T10:34:22","modified_gmt":"2022-11-02T14:34:22","slug":"midterm-one-version-b","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-b\/","title":{"raw":"Midterm 1: Version B","rendered":"Midterm 1: Version B"},"content":{"raw":"
    \n \t
  1. Evaluate: [latex]-b - \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=5,[\/latex] [latex]b=6,[\/latex] and [latex]c=1.[\/latex]<\/li>\n \t
  2. Solve for [latex]x[\/latex] in the equation [latex]3(5x - 6) = 4\\left[-3(2 - x)\\right].[\/latex]<\/li>\n \t
  3. Isolate the variable [latex]b[\/latex] in the equation [latex]A=\\dfrac{h}{B \\cdot b}.[\/latex]<\/li>\n \t
  4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+3}{5} - \\dfrac{x}{2} = \\dfrac{5-3x}{10}.[\/latex]<\/li>\n \t
  5. Find the equation of the horizontal line that passes through the point [latex](-3, 4).[\/latex]<\/li>\n \t
  6. Find the equation that has a slope of [latex]\\dfrac{1}{3}[\/latex] and passes through the point [latex](-1, 4).[\/latex]<\/li>\n \t
  7. Find the equation of the line passing through the points [latex](0, 4)[\/latex] and [latex](-3, 5).[\/latex]<\/li>\n \t
  8. Graph the relation [latex]y = \\dfrac{1}{3}x - 2.[\/latex]<\/li>\n<\/ol>\nFor questions 9 to 11, find each solution set and graph it.\n
      \n \t
    1. [latex]6x - 4(3 - 2x)[\/latex] > [latex]5 (3 - 4x) + 7[\/latex]<\/li>\n \t
    2. [latex]-3 \\le 2x + 3 < 9[\/latex]<\/li>\n \t
    3. [latex]\\left| \\dfrac{3x+2}{5}\\right| <2[\/latex]<\/li>\n \t
    4. Graph the relation [latex]5x + 2y < 10.[\/latex]<\/li>\n \t
    5. Find two consecutive even integers such that their sum is 16 less than five times the first integer.<\/li>\n \t
    6. Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 times as long as the second piece, find the length of each piece.<\/li>\n \t
    7. [latex]P[\/latex] varies directly as [latex]T[\/latex] and inversely as [latex]V.[\/latex] If [latex]P = 100[\/latex] when [latex]T = 200[\/latex] and [latex]V = 500,[\/latex] find the constant [latex]k,[\/latex] then use this to find [latex]P[\/latex] when [latex]T = 100[\/latex] and [latex]V = 500.[\/latex]<\/li>\n<\/ol>\nMidterm 1: Version B Answer Key<\/a>\n\n","rendered":"
        \n
      1. Evaluate: [latex]-b - \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=5,[\/latex] [latex]b=6,[\/latex] and [latex]c=1.[\/latex]<\/li>\n
      2. Solve for [latex]x[\/latex] in the equation [latex]3(5x - 6) = 4\\left[-3(2 - x)\\right].[\/latex]<\/li>\n
      3. Isolate the variable [latex]b[\/latex] in the equation [latex]A=\\dfrac{h}{B \\cdot b}.[\/latex]<\/li>\n
      4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+3}{5} - \\dfrac{x}{2} = \\dfrac{5-3x}{10}.[\/latex]<\/li>\n
      5. Find the equation of the horizontal line that passes through the point [latex](-3, 4).[\/latex]<\/li>\n
      6. Find the equation that has a slope of [latex]\\dfrac{1}{3}[\/latex] and passes through the point [latex](-1, 4).[\/latex]<\/li>\n
      7. Find the equation of the line passing through the points [latex](0, 4)[\/latex] and [latex](-3, 5).[\/latex]<\/li>\n
      8. Graph the relation [latex]y = \\dfrac{1}{3}x - 2.[\/latex]<\/li>\n<\/ol>\n

        For questions 9 to 11, find each solution set and graph it.<\/p>\n

          \n
        1. [latex]6x - 4(3 - 2x)[\/latex] > [latex]5 (3 - 4x) + 7[\/latex]<\/li>\n
        2. [latex]-3 \\le 2x + 3 < 9[\/latex]<\/li>\n
        3. [latex]\\left| \\dfrac{3x+2}{5}\\right| <2[\/latex]<\/li>\n
        4. Graph the relation [latex]5x + 2y < 10.[\/latex]<\/li>\n
        5. Find two consecutive even integers such that their sum is 16 less than five times the first integer.<\/li>\n
        6. Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 times as long as the second piece, find the length of each piece.<\/li>\n
        7. [latex]P[\/latex] varies directly as [latex]T[\/latex] and inversely as [latex]V.[\/latex] If [latex]P = 100[\/latex] when [latex]T = 200[\/latex] and [latex]V = 500,[\/latex] find the constant [latex]k,[\/latex] then use this to find [latex]P[\/latex] when [latex]T = 100[\/latex] and [latex]V = 500.[\/latex]<\/li>\n<\/ol>\n

          Midterm 1: Version B Answer Key<\/a><\/p>\n

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