{"id":1317,"date":"2021-12-02T19:37:27","date_gmt":"2021-12-03T00:37:27","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-d\/"},"modified":"2022-11-02T10:34:25","modified_gmt":"2022-11-02T14:34:25","slug":"midterm-one-version-d","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-d\/","title":{"raw":"Midterm 1: Version D","rendered":"Midterm 1: Version D"},"content":{"raw":"
    \n \t
  1. Evaluate: [latex]3b - \\sqrt{b^2-4ac}[\/latex] if [latex]a=4, b=4,[\/latex] and [latex]c=1.[\/latex]<\/li>\n \t
  2. Solve for [latex]x[\/latex] in the equation [latex]2(x - 4)+8 = -6+3(x+3).[\/latex]<\/li>\n \t
  3. Isolate the variable [latex]r_2[\/latex] in the equation [latex]\\dfrac{1}{R}=\\dfrac{1}{r_1}+\\dfrac{1}{r_2}.[\/latex]<\/li>\n \t
  4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x}{15} - \\dfrac{x-3}{3} = \\dfrac{1}{3}.[\/latex]<\/li>\n \t
  5. Write the equation of the horizontal 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}{3}[\/latex] and passes through the point [latex](-2, 4).[\/latex]<\/li>\n \t
  7. Find the equation of the line passing through the points [latex](12, -7)[\/latex] and [latex](8, -9).[\/latex]<\/li>\n \t
  8. Graph the relation [latex]y=\\dfrac{2}{3}x-2.[\/latex]<\/li>\n<\/ol>\nFor questions 9 to 11, find each solution set and graph it.\n
      \n \t
    1. [latex]-27 \\le 6x -9 \\le 3[\/latex]<\/li>\n \t
    2. [latex]\\left| \\dfrac{2x+2}{6}\\right| = 2[\/latex]<\/li>\n \t
    3. [latex]| 2x-1 |[\/latex] > [latex]6[\/latex]<\/li>\n \t
    4. Graph the relation [latex]y = |2x| - 1.[\/latex]<\/li>\n \t
    5. For a given triangle, the first and second angles are equal, but the third angle is 10\u00b0 less than twice the first angle. What are the measures of the three angles?<\/li>\n \t
    6. Find two consecutive even integers such that their sum is 20 less than the first integer.<\/li>\n \t
    7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and the square of [latex]n[\/latex] and inversely with [latex]d.[\/latex] If [latex]y = 16[\/latex] when [latex]m = 3, n = 4,[\/latex] and [latex]d = 6,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = -2, n = 4,[\/latex] and [latex]d = 8.[\/latex]<\/li>\n<\/ol>\nMidterm 1: Version D Answer Key<\/a>\n\n","rendered":"
        \n
      1. Evaluate: [latex]3b - \\sqrt{b^2-4ac}[\/latex] if [latex]a=4, b=4,[\/latex] and [latex]c=1.[\/latex]<\/li>\n
      2. Solve for [latex]x[\/latex] in the equation [latex]2(x - 4)+8 = -6+3(x+3).[\/latex]<\/li>\n
      3. Isolate the variable [latex]r_2[\/latex] in the equation [latex]\\dfrac{1}{R}=\\dfrac{1}{r_1}+\\dfrac{1}{r_2}.[\/latex]<\/li>\n
      4. Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x}{15} - \\dfrac{x-3}{3} = \\dfrac{1}{3}.[\/latex]<\/li>\n
      5. Write the equation of the horizontal line that passes through the point [latex](-2, 5).[\/latex]<\/li>\n
      6. Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] and passes through the point [latex](-2, 4).[\/latex]<\/li>\n
      7. Find the equation of the line passing through the points [latex](12, -7)[\/latex] and [latex](8, -9).[\/latex]<\/li>\n
      8. Graph the relation [latex]y=\\dfrac{2}{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]-27 \\le 6x -9 \\le 3[\/latex]<\/li>\n
        2. [latex]\\left| \\dfrac{2x+2}{6}\\right| = 2[\/latex]<\/li>\n
        3. [latex]| 2x-1 |[\/latex] > [latex]6[\/latex]<\/li>\n
        4. Graph the relation [latex]y = |2x| - 1.[\/latex]<\/li>\n
        5. For a given triangle, the first and second angles are equal, but the third angle is 10\u00b0 less than twice the first angle. What are the measures of the three angles?<\/li>\n
        6. Find two consecutive even integers such that their sum is 20 less than the first integer.<\/li>\n
        7. [latex]y[\/latex] varies jointly with [latex]m[\/latex] and the square of [latex]n[\/latex] and inversely with [latex]d.[\/latex] If [latex]y = 16[\/latex] when [latex]m = 3, n = 4,[\/latex] and [latex]d = 6,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = -2, n = 4,[\/latex] and [latex]d = 8.[\/latex]<\/li>\n<\/ol>\n

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

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