ULANGAN HARIAN SISTEM PERSAMAAN LINIER TIGA VARIABEL (SPLTV)
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tentukanlah himpunan penyelesaian dari sistem persamaan linier tiga variabel (SPLTV) berikut ini.
x + y – z = –3
x + 2y + z = 7
2x + y + z = 4
{(–1, -1, 4)}
{(–1, 2, -4)}
{(–1, 2, 4)}
{(–1, -2, 4)}
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Tentukan himpunan penyelesaian dari sistem persamaan linear tiga variabel berikut ini.
x + 3y + 2z = 16
2x + 4y – 2z = 12
x + y + 4z = 20
{(-7, 1, 3)}
{(7, -1, 3)}
{(7, 1, -3)}
{(7, 1, 3)}
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Diketahui tiga buah bilangan. Bilangan pertama ditambah bilangan kedua sama dengan dua kali bilangan ketiga. Selisih bilangan pertama dan ketiga sama dengan empat kali bilangan kedua. Jika jumlah ketiga bilangan sama dengan 15, nyatakan ke dalam model matematika!
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Harga 2 kg mangga, 2 kg jeruk, dan 1 kg anggur adalah Rp. 76.000, 00. Harga 1 kg mangga, 2 kg jeruk, 2 kg anggur adalah Rp. 98.000, 00. Harga 2 kg mangga, 2 kg jeruk, dan 3 kg anggur adalah Rp. 136.000. Nyatakan ke dalam model matematika!
Tags
CCSS.HSA.CED.A.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Jumlah tiga bilangan sama dengan 45. Bilangan pertama ditambah 4 sama dengan bilangan kedua, dan bilangan ketiga dikurangi 17 sama dengan bilangan pertama. Bentuklah tiga persamaan linear tiga variable sesuai cerita di atas!
x + y + z = 45
x + 4 = y
z – 17 = x
x + 4 = y
z – 17 = x
x = 45
x + y + z = 45
z – 17 = x
y = 4z
x + y = 45
x + 4 = y
z = x + 17
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Diketahui sistem persamaan linear
.
Nilai x + y + z = …
-3
-2
-1
4
5
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Jika himpunan penyelesaian dari sistem :
x - 2y + 4z = -3
3x + y - 2z = 12
2x + y - 3z = 11 adalah { x, y,z } maka nilai x . y . z = ….
-3
3
-6
4
6
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