{"id":1311,"date":"2021-12-02T19:37:26","date_gmt":"2021-12-03T00:37:26","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-a\/"},"modified":"2022-11-02T10:34:21","modified_gmt":"2022-11-02T14:34:21","slug":"midterm-one-version-a","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-a\/","title":{"raw":"Midterm 1: Version A","rendered":"Midterm 1: Version A"},"content":{"raw":"
    \n \t
  1. Evaluate: [latex]-b - \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=4,[\/latex] [latex]b=-3,[\/latex] and [latex]c=-1.[\/latex]<\/li>\n \t
  2. Solve for [latex]x[\/latex] in the equation [latex]2(x - 5) - 85 = 3 - 9(x + 6).[\/latex]<\/li>\n \t
  3. Isolate the variable [latex]b[\/latex] in the equation [latex]A = \\dfrac{h}{B-b}[\/latex].<\/li>\n \t
  4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+1}{4} - \\dfrac{5}{8} = \\dfrac{x-1}{8}[\/latex].<\/li>\n \t
  5. Write an equation of the vertical line that passes through the point [latex](-2, 5).[\/latex]<\/li>\n \t
  6. Find the equation that has a slope of [latex]\\dfrac{2}{5}[\/latex] and passes through the point [latex](-1, -2).[\/latex]<\/li>\n \t
  7. Find the equation of the line passing through the points [latex](-2, 0)[\/latex] and [latex](6, 4)[\/latex].<\/li>\n \t
  8. Graph the relation [latex]y = \\dfrac{2}{3}x - 1[\/latex].<\/li>\n<\/ol>\nFor questions 9 to 11, find each solution set and graph it.\n
      \n \t
    1. [latex]6x - 5(1 + 6x)[\/latex] > [latex]67[\/latex]<\/li>\n \t
    2. [latex]-10 \\le 4x - 2 \\le 14[\/latex]<\/li>\n \t
    3. [latex]\\left| \\dfrac{3x+2}{5} \\right| = 2[\/latex]<\/li>\n \t
    4. Graph the relation [latex]5x + 2y < 15.[\/latex]<\/li>\n \t
    5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 47, and 4 times the larger minus twice the smaller is 20.<\/li>\n \t
    6. Karl is going to cut a 36 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.<\/li>\n \t
    7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and [latex]n[\/latex] and inversely with the square of [latex]d.[\/latex] If [latex]y = 3[\/latex] when [latex]m = 2,[\/latex] [latex]n = 8,[\/latex] and [latex]d = 4,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = 15,[\/latex] [latex]n = 10,[\/latex] and [latex]d = 5.[\/latex]<\/li>\n<\/ol>\nMidterm 1: Version A Answer Key<\/a>\n\n","rendered":"
        \n
      1. Evaluate: [latex]-b - \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=4,[\/latex] [latex]b=-3,[\/latex] and [latex]c=-1.[\/latex]<\/li>\n
      2. Solve for [latex]x[\/latex] in the equation [latex]2(x - 5) - 85 = 3 - 9(x + 6).[\/latex]<\/li>\n
      3. Isolate the variable [latex]b[\/latex] in the equation [latex]A = \\dfrac{h}{B-b}[\/latex].<\/li>\n
      4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+1}{4} - \\dfrac{5}{8} = \\dfrac{x-1}{8}[\/latex].<\/li>\n
      5. Write an equation of the vertical line that passes through the point [latex](-2, 5).[\/latex]<\/li>\n
      6. Find the equation that has a slope of [latex]\\dfrac{2}{5}[\/latex] and passes through the point [latex](-1, -2).[\/latex]<\/li>\n
      7. Find the equation of the line passing through the points [latex](-2, 0)[\/latex] and [latex](6, 4)[\/latex].<\/li>\n
      8. Graph the relation [latex]y = \\dfrac{2}{3}x - 1[\/latex].<\/li>\n<\/ol>\n

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

          \n
        1. [latex]6x - 5(1 + 6x)[\/latex] > [latex]67[\/latex]<\/li>\n
        2. [latex]-10 \\le 4x - 2 \\le 14[\/latex]<\/li>\n
        3. [latex]\\left| \\dfrac{3x+2}{5} \\right| = 2[\/latex]<\/li>\n
        4. Graph the relation [latex]5x + 2y < 15.[\/latex]<\/li>\n
        5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 47, and 4 times the larger minus twice the smaller is 20.<\/li>\n
        6. Karl is going to cut a 36 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.<\/li>\n
        7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and [latex]n[\/latex] and inversely with the square of [latex]d.[\/latex] If [latex]y = 3[\/latex] when [latex]m = 2,[\/latex] [latex]n = 8,[\/latex] and [latex]d = 4,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = 15,[\/latex] [latex]n = 10,[\/latex] and [latex]d = 5.[\/latex]<\/li>\n<\/ol>\n

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

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