{"id":8899,"date":"2018-11-17T04:00:00","date_gmt":"2018-11-16T21:00:00","guid":{"rendered":"https:\/\/example.com\/?p=8899"},"modified":"2023-10-06T22:17:16","modified_gmt":"2023-10-06T15:17:16","slug":"latihan-soal-uas-matematika-sma-kelas-x-semester-ganjil-2018","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/latihan-soal-uas-matematika-sma-kelas-x-semester-ganjil-2018","title":{"rendered":"Latihan Soal UAS Matematika SMA Kelas X Semester Ganjil 2018"},"content":{"rendered":"

<\/span><\/p>\n

Halo, Squad. Tidak terasa ya sebentar lagi semester ganjil di tahun ajaran ini sudah akan berakhir. Kamu sudah siap menghadapi Ujian Akhir Semester mendatang? Nah<\/em>, untuk itu Ruangguru sudah menyiapkan latihan dan pembahasan soal UAS Matematika<\/a><\/strong> kelas X. Yuk, langsung disimak!<\/p>\n

<\/p>\n

\"Untitled<\/strong><\/p>\n

1.Topik : Eksponen<\/strong><\/p>\n

Bentuk sederhana dari<\/span><\/span> \"1-405577069072\"adalah\u2026.<\/span><\/p>\n

\"2-70\"<\/span><\/p>\n

Kunci : A<\/strong><\/p>\n

Pembahasan :<\/strong><\/p>\n

\"3-35\"<\/strong><\/p>\n

\"Untitled<\/strong><\/p>\n

2. <\/span>Topik <\/strong><\/span> <\/span>: Eksponen<\/span><\/strong><\/p>\n

Nilai x dari persamaan \"4-11\" <\/span><\/span> adalah \u2026.<\/span><\/p>\n

    \n
  1. 2<\/span><\/li>\n
  2. 4<\/span><\/li>\n
  3. 6<\/li>\n
  4. 10<\/li>\n
  5. 16<\/li>\n<\/ol>\n

    Jawaban : E<\/strong><\/p>\n

    Pembahasan<\/strong><\/span> <\/span>:<\/span><\/p>\n

    Bilangan berpangkat di soal adalah bentuk permasalahan bilangan berpangkat pecahan, sehingga cara penyelesaiannya sebagai berikut :<\/p>\n

    \"5-11\"<\/p>\n

    \"Untitled<\/p>\n

    3.Topik<\/strong><\/span> <\/span>: <\/strong><\/span>Eksponen<\/span><\/strong>
    <\/span><\/p>\n

    Fungsi eksponensial dari grafik di bawah ini adalah \u2026.<\/p>\n

    \"6-11\"<\/p>\n

      \n
    1. f(x)=32x<\/span><\/li>\n
    2. f(x)=3x<\/span><\/li>\n
    3. f(x)=3-x<\/span><\/li>\n
    4. f(x)=2x<\/span><\/li>\n
    5. f(x)=2-x<\/span><\/li>\n<\/ol>\n

      Jawaban:<\/span> <\/span><\/strong>B<\/strong><\/span><\/p>\n

      Pembahasan<\/strong><\/p>\n

      Pada grafik di atas dapat dilihat melalui dua titik, yaitu (0,1) dan (1,3). Untuk mendapatkan fungsi eksponensial tersebut, kita harus mensubstitusikan kedua titik yang ada ke dalam persamaan fungsi eksponensial secara umum f(x)=b \u00d7 ax untuk mencari nilai a dan b, sehingga:<\/p>\n

      Untuk titik (0,1) didapat f(x)=b \u00d7 ax<\/p>\n

      1=b \u00d7 a0<\/p>\n

      1=b \u00d7 1<\/p>\n

      b=1<\/p>\n

      Untuk titik (1,3) didapat f(x)=b \u00d7 ax=1 \u00d7 ax=ax (masukkan nilai b = 1)<\/p>\n

      f(x)=ax<\/p>\n

      3=a1<\/p>\n

      3=a<\/p>\n

      Maka, fungsi eksponensial dari grafik tersebut adalah<\/p>\n

      f(x) = b \u00d7 ax<\/p>\n

      f(x) =1 \u00d7 3x<\/p>\n

      f(x) =3x<\/p>\n

      \"Untitled<\/p>\n

      4.Topik <\/strong><\/span> <\/span>: Bilangan bentuk akar<\/strong><\/span><\/p>\n

      Bentuk sederhana dari bentuk akar \"7-11\" <\/span><\/span>adalah\u2026.<\/span><\/p>\n

      \"8-11\"<\/span><\/p>\n

      Jawaban : A<\/strong><\/p>\n

      Pembahasan<\/strong><\/span> <\/span>:<\/span><\/p>\n

      \"9-14\"<\/span><\/p>\n

      \"Untitled<\/span><\/p>\n

      5.Topik<\/strong><\/span> <\/span>: Bilangan Bentuk Akar<\/strong><\/span><\/p>\n

      Urutan bilangan \"10-10\" <\/span><\/span> dari yang terkecil hingga yang terbesar adalah \u2026.<\/span><\/p>\n

      A. \"https:\/\/lh4.googleusercontent.com\/hgpHdeAycylW-XKCU0MQW_pw-MH5jUj_iU-RVK48ZggVPIfAGFsUZdYCxT69joR3lCEd8aVlbo9IaEIjXxcC49twbNEc-DAKUiWrFmPEk2u-0Nf73QiVKgtxKAz8ePgJ9bMempGd0vJd1Uk-BQ\"<\/p>\n

      B. \"https:\/\/lh4.googleusercontent.com\/MaHK-WJM0z0QpkR54c7uCPnEa8QdaVjmyZ3YbX6Fbp47FrFysqsfeDuLjCUcFICN2SrgYbkrjdUVA0d3elvdKTRoQkjj9XSUh_ORrhI21xY5s744aes1UfBTMhDovMo28H_j709A81ID-4OFLQ\"<\/p>\n

      C. \"https:\/\/lh5.googleusercontent.com\/5iYfEPtQPzXwi3v79EZ8jfRmtz2UzOX6eI-PrjyaGjRO5F54UaJWcqmbBj_BLNMZPbYo0yQ3r2KUPG9ejFnKRHqgaUn6a8tQjyPM7HEZVSGEtKzbL5OjO25qIXDCUdmhnKLoSngucVX-rC2n_g\"<\/p>\n

      D. \"https:\/\/lh5.googleusercontent.com\/JPfSLig0fDOECzPRsk_GeZlPVBNE1_4m7VmjYPRs41UDlsoGLBiKTOhlNP-tEuHHnN-WPMaWN72fDDjMsAEh0xEYwQGbU2PJtzR7e9eVg7LMgNgl0tQapiUP1j0sc4O6QVOlVa1TsePN3QnrGg\"<\/p>\n

      E. \"https:\/\/lh3.googleusercontent.com\/2tx8poMxb_gC5cy3ZE4xspc1Hybp22Uf8By4R6mwtqHq_8ohakVlkSq2HbZbCFs7YYfCNLDFMQlm1zt_hI4EJo66BUNS_X7RjTtLrcHd5Uz2SDoy-27zYYhTC3MuqUH7OalljhTwubElC3GIig\"<\/p>\n

      Jawaban: B<\/strong><\/p>\n

      Pembahasan:<\/strong><\/p>\n

      \"11-119\"<\/strong><\/p>\n

      Maka urutan dari yang terkecil ke yang terbesar adalah \"12-9\"<\/span><\/p>\n

      \"Untitled<\/span><\/p>\n

      6.Topik<\/strong><\/span> <\/span>: Logaritma<\/strong><\/p>\n

      Hasil dari \"13-8\"<\/span><\/span>adalah \u2026.<\/span><\/p>\n

        \n
      1. 1<\/span><\/li>\n
      2. 2<\/span><\/li>\n
      3. 3<\/span><\/li>\n
      4. 4<\/span><\/li>\n
      5. 5<\/span><\/li>\n<\/ol>\n

        Jawaban: A<\/strong><\/p>\n

        Pembahasan:<\/strong><\/p>\n

        \"14-5577069072\"<\/strong><\/p>\n

        \"Untitled<\/strong><\/p>\n

        7.Topik<\/strong><\/span> <\/span>: Logaritma<\/strong><\/span><\/p>\n

        Jika diketahui \"15-5\"<\/span> <\/span><\/span>Maka nilai dari \"16-3\"<\/span><\/span>adalah \u2026.<\/span><\/p>\n

        \"17-2\"<\/span><\/p>\n

        Jawaban: A<\/strong><\/p>\n

        Pembahasan:<\/strong><\/p>\n

        \"18-3\"<\/strong><\/p>\n

        \"Untitled<\/strong><\/p>\n

        8.Topik<\/strong><\/span> <\/span> <\/span>: Persamaan dan Pertidaksamaan Linier<\/strong><\/span><\/p>\n

        Nilai x dari persamaan linier  7x+23=4x-1 adalah \u2026.<\/p>\n

          \n
        1. -3<\/span><\/li>\n
        2. -1<\/span><\/li>\n
        3. 0<\/span><\/li>\n
        4. 1<\/span><\/li>\n
        5. 3<\/span><\/li>\n<\/ol>\n

          Jawaban:<\/span> <\/span>D<\/span><\/strong><\/p>\n

          Pembahasan<\/strong><\/p>\n

          7x+23=4x-1<\/p>\n

          7x+2=3(4x-1)<\/p>\n

          7x+2=12x-3<\/p>\n

          7x-12x=-3-2<\/p>\n

          -5x=-5<\/p>\n

          \"Untitled<\/p>\n

          9.Topik <\/strong><\/span> <\/span>: Fungsi Kuadrat<\/strong><\/span><\/p>\n

          Persamaan kuadrat yang melalui titik-titik (-3, -1), (-1, -5), dan (2, 4) adalah\u2026.<\/p>\n

            \n
          1. y = x<\/span>2<\/sup><\/span> + 2x \u2013 4<\/span><\/li>\n
          2. y = x<\/span>2<\/sup><\/span> \u2013 3x \u2013 4<\/span><\/li>\n
          3. y = 2x<\/span>2<\/sup><\/span> + 2x + 5<\/span><\/li>\n
          4. y = x<\/span>2<\/sup><\/span> \u2013 3x + 5<\/span><\/li>\n
          5. y = 2x<\/span>2<\/sup><\/span> + 2x \u2013 5<\/span><\/li>\n<\/ol>\n

            Jawaban : A<\/strong><\/p>\n

            Pembahasan<\/strong><\/span> <\/span>:<\/span><\/p>\n

            Persamaan parabola : <\/span>y<\/em><\/span> = <\/span>ax<\/em><\/span>2<\/sup><\/span> + <\/span>bx<\/em><\/span> + <\/span>c<\/em><\/span><\/p>\n

            Titik (-3, -1) \u2192 <\/span>9a \u2013 3b + c<\/em><\/span> = -1 \u2026\u2026\u2026\u2026.(1)<\/span><\/p>\n

            Titik (-1, -5) \u2192 <\/span>a \u2013 b + c<\/em><\/span> = -5 \u2026\u2026\u2026\u2026\u2026.(2)<\/span><\/p>\n

            Titik (2, 4)    \u2192 <\/span>4a + 2b + c<\/em><\/span> = 4 \u2026\u2026\u2026\u2026..(3)<\/span><\/p>\n

            Eliminasi pers. (1) dan (2) :<\/p>\n

            9a \u2013 3b + c = -1<\/em><\/p>\n

             a \u2013 b + c   = -5<\/em><\/u><\/span>   \u2013<\/span><\/p>\n

            8a \u2013 2b = 4<\/em><\/p>\n

            4a \u2013 b = 2<\/em><\/span> \u2026\u2026\u2026\u2026\u2026\u2026..(4)<\/span><\/p>\n

            eliminasi persamaan (2) dan (3) :<\/span><\/p>\n

             <\/span>a \u2013 b + c   = -5<\/em><\/span><\/p>\n

            4a + 2b + c = 4 <\/em><\/u><\/span>   \u2013 <\/em><\/span><\/p>\n

            -3a \u2013 3b = -9<\/em><\/p>\n

            a + b<\/em><\/span> = 3 \u2026\u2026\u2026\u2026\u2026\u2026..(5)<\/span><\/p>\n

            eliminasikan persamaan (4) dan (5) :<\/p>\n

            4a \u2013 b = 2<\/em><\/p>\n

            a + b = 3<\/em><\/u><\/span>  +<\/span><\/p>\n

            5a = 5<\/em><\/p>\n

            a = 1<\/em><\/p>\n

            subsitusikan ke persamaan (5) :<\/p>\n

            a + b = 3<\/em><\/p>\n

            1 + b = 3<\/em><\/p>\n

            b = 2<\/em><\/p>\n

            subsitusikan ke persamaan (3)<\/p>\n

            4a + 2b + c = 4<\/em><\/p>\n

            4(1) + 2(2) + c = 4 <\/em><\/p>\n

            c = -4<\/em><\/p>\n

            Persamaan kuadratnya : <\/span>y<\/em><\/span> = <\/span>x<\/em><\/span>2<\/sup><\/span> + 2<\/span>x<\/em><\/span> \u2013 4<\/span><\/p>\n

            \"Untitled<\/span><\/p>\n

            10.Topik<\/strong><\/span> <\/span>:<\/strong><\/span> Sistem Persamaan Linier Kuadrat Dua Variabel (SPLKDV)<\/strong><\/p>\n

            Himpunan penyelesaian antara kurva x2+y2-2xy-1=0 dan garis  x-2y-2=0 adalah \u2026.<\/p>\n

              \n
            1. (0, 1) dan (4,-3)<\/span><\/li>\n
            2. (0, 1) dan (-4,-3)<\/span><\/li>\n
            3. (0, -1) dan (4,3)<\/span><\/li>\n
            4. (0, -1) dan (-4,-3)<\/span><\/li>\n
            5. (0, -1) dan (-4,3)<\/span><\/li>\n<\/ol>\n

              Jawaban: <\/strong>D<\/strong><\/span><\/p>\n

              Pembahasan:<\/strong><\/p>\n

              x \u2013 2y \u2013 2 = 0 \u2192 x = 2y + 2<\/p>\n

              Substitusi x=2y+2 ke persamaan kurva x2+y2-2xy-1=0<\/p>\n

              (2y+2)2+y2-2(2y+2)(y)-1=0<\/p>\n

              4y2+8y+4+y2-4y2-4y-1=0<\/p>\n

              y2+4y+3=0<\/p>\n

              (y+1)(y+3)=0<\/p>\n

              y1=-1 dan y2=-3<\/p>\n

              Substitusikan nilai y yang telah didapatkan ke salah satu persamaan:<\/p>\n

              Untuk y1=-1, x1=2(-1)+2=0<\/span> <\/span><\/p>\n

              Untuk y2=-3, x2=2(-3)+2=-4<\/p>\n

              <\/span>Maka, penyelesaian sistem persamannya adalah (0, -1) dan (-4,-3).<\/span><\/p>\n

              \"Untitled<\/span><\/p>\n

              Gimana Squad? Cukup jelas ‘kan<\/em>? Yuk, mulai belajar dari sekarang supaya kamu nggak<\/em> pusing saat mendekati tanggal ujiannya. Uji juga pemahaman dan kesiapan kamu melalui tryout<\/em> gratis di ruanguji<\/a><\/strong>.<\/p>\n

              \"IDN<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

              Halo, Squad. Tidak terasa ya sebentar lagi semester ganjil di tahun ajaran ini sudah akan berakhir. Kamu sudah siap menghadapi Ujian Akhir Semester mendatang? Nah, untuk itu Ruangguru sudah menyiapkan latihan dan pembahasan soal UAS Matematika kelas X. Yuk, langsung disimak!<\/p>\n","protected":false},"author":22,"featured_media":8899,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/this%20certificate%20is%20awarded%20to-1.png"],"_edit_last":["1"],"_edit_lock":["1696605436:1"]},"categories":[467,474],"tags":[52,256,457],"class_list":["post-8899","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-10","tag-kelas-10","tag-matematika-x","tag-uas"],"aioseo_notices":[],"yoast_head":"\nLatihan Soal UAS Matematika SMA Kelas X Semester Ganjil 2018 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/staging-blog.sirogu.com\/blog\/latihan-soal-uas-matematika-sma-kelas-x-semester-ganjil-2018\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Latihan Soal UAS Matematika SMA Kelas X Semester Ganjil 2018 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Halo, Squad. Tidak terasa ya sebentar lagi semester ganjil di tahun ajaran ini sudah akan berakhir. Kamu sudah siap menghadapi Ujian Akhir Semester mendatang? Nah, untuk itu Ruangguru sudah menyiapkan latihan dan pembahasan soal UAS Matematika kelas X. 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