{"id":1315,"date":"2021-12-02T19:37:27","date_gmt":"2021-12-03T00:37:27","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-c\/"},"modified":"2022-11-02T10:34:23","modified_gmt":"2022-11-02T14:34:23","slug":"midterm-one-version-c","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/chapter\/midterm-one-version-c\/","title":{"raw":"Midterm 1: Version C","rendered":"Midterm 1: Version C"},"content":{"raw":"
    \n \t
  1. Evaluate [latex]-b - \\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 = 3-7(x+3).[\/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}{15} - \\dfrac{x-3}{3} = \\dfrac{1}{5}.[\/latex]<\/li>\n \t
  5. Write the equation of the vertical line that passes through the point [latex](-2, -2).[\/latex]<\/li>\n \t
  6. Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] and passes through the point [latex](0, -3).[\/latex]<\/li>\n \t
  7. Find the equation of the line passing through the points [latex](14, -6)[\/latex] and [latex](-1, 4).[\/latex]<\/li>\n \t
  8. Graph the relation [latex]2x-y=-2.[\/latex]<\/li>\n<\/ol>\nFor questions 9 to 11, find each solution set and graph it.\n
      \n \t
    1. [latex]0 \\le 2x + 4 <8[\/latex]<\/li>\n \t
    2. [latex]y-1[\/latex] > [latex]3\\text{ or }y-1<-3[\/latex]<\/li>\n \t
    3. [latex]|2x-3|[\/latex] > [latex]5[\/latex]<\/li>\n \t
    4. Graph the relation [latex]y=| x | - 3.[\/latex]<\/li>\n \t
    5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.<\/li>\n \t
    6. Karl is going to cut a 42 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 inversely with the square of [latex]d.[\/latex] If [latex]y = 3[\/latex] when [latex]m = 2[\/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 = 25[\/latex] and [latex]d = 5.[\/latex]<\/li>\n<\/ol>\nMidterm 1: Version C Answer Key<\/a>","rendered":"
        \n
      1. Evaluate [latex]-b - \\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 = 3-7(x+3).[\/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}{15} - \\dfrac{x-3}{3} = \\dfrac{1}{5}.[\/latex]<\/li>\n
      5. Write the equation of the vertical line that passes through the point [latex](-2, -2).[\/latex]<\/li>\n
      6. Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] and passes through the point [latex](0, -3).[\/latex]<\/li>\n
      7. Find the equation of the line passing through the points [latex](14, -6)[\/latex] and [latex](-1, 4).[\/latex]<\/li>\n
      8. Graph the relation [latex]2x-y=-2.[\/latex]<\/li>\n<\/ol>\n

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

          \n
        1. [latex]0 \\le 2x + 4 <8[\/latex]<\/li>\n
        2. [latex]y-1[\/latex] > [latex]3\\text{ or }y-1<-3[\/latex]<\/li>\n
        3. [latex]|2x-3|[\/latex] > [latex]5[\/latex]<\/li>\n
        4. Graph the relation [latex]y=| x | - 3.[\/latex]<\/li>\n
        5. Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.<\/li>\n
        6. Karl is going to cut a 42 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 inversely with the square of [latex]d.[\/latex] If [latex]y = 3[\/latex] when [latex]m = 2[\/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 = 25[\/latex] and [latex]d = 5.[\/latex]<\/li>\n<\/ol>\n

          Midterm 1: Version C Answer Key<\/a><\/p>\n","protected":false},"author":90,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":"cc-by-nc-sa"},"chapter-type":[],"contributor":[],"license":[56],"class_list":["post-1315","chapter","type-chapter","status-publish","hentry","license-cc-by-nc-sa"],"part":1309,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1315","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/users\/90"}],"version-history":[{"count":1,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1315\/revisions"}],"predecessor-version":[{"id":1316,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1315\/revisions\/1316"}],"part":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1309"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapters\/1315\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1315"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/chapter-type?post=1315"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1315"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1315"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}