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Bentuk sederhana dari 3x - 2y + 7 - 5x + 6y - 3 adalah ....
A.
4y - 2x + 10
B.
4y - 2x - 10
C.
- 2x + 4y - 4
D.
- 2x + 4y + 4
Correct Answer
D. - 2x + 4y + 4
Explanation The given expression is a combination of terms with variables x and y. To simplify the expression, we can combine like terms by adding or subtracting their coefficients. In this case, we have -2x and 4y as like terms, so we can combine them to get -2x + 4y. The constant terms 7 and -3 can also be combined to get 4. Therefore, the simplified form of the expression is -2x + 4y + 4.
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2.
Pemfaktoran dari y2 - 10y + 25 adalah ....
A.
(y + 5)(y + 5)
B.
(y - 5)(y - 5)
C.
(y - 10)(y - 10)
D.
(y + 10)(y + 10)
Correct Answer
B. (y - 5)(y - 5)
Explanation The given expression is a perfect square trinomial. The expression can be factored as (y - 5)(y - 5) because when we expand this expression using FOIL method, we get y^2 - 10y + 25, which is the original expression. Therefore, the correct answer is (y - 5)(y - 5).
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3.
Pemfaktoran dari a2 - 49 adalah ....
A.
(a + 9)(a + 9)
B.
(a - 9)(a + 9)
C.
(a + 7)(a - 7)
D.
(a + 7)(a + 7)
Correct Answer
C. (a + 7)(a - 7)
Explanation The given expression is a difference of squares, where a^2 - 49 can be factored as (a + 7)(a - 7).
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4.
Hasil penjumlahan dari 5a + 4b - 10 dan -2a + 3b + 5 adalah ....
A.
-3a + 7b - 5
B.
-3a + 7b + 5
C.
3a - 7b + 5
D.
3a + 7b - 5
Correct Answer
D. 3a + 7b - 5
Explanation The given question asks for the sum of two expressions: 5a + 4b - 10 and -2a + 3b + 5. To find the sum, we combine like terms. The coefficients of the 'a' terms are 5 and -2, so the sum of these terms is 5a - 2a = 3a. The coefficients of the 'b' terms are 4 and 3, so the sum of these terms is 4b + 3b = 7b. Finally, the constant terms are -10 and 5, so the sum of these terms is -10 + 5 = -5. Therefore, the correct answer is 3a + 7b - 5.
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5.
Hasil pengurangan 6m + 3n + 8 dari 2m - 5n - 3 adalah ....
A.
4m + 8n - 11
B.
4m - 8n - 11
C.
- 4m - 8n - 11
D.
- 4m + 8n - 11
Correct Answer
C. - 4m - 8n - 11
Explanation The given expression is subtracting 6m + 3n + 8 from 2m - 5n - 3. To subtract, we change the signs of the terms being subtracted and then combine like terms. Therefore, the correct answer is - 4m - 8n - 11.
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6.
Relasi-relasi di bawah ini yang merupakan pemetaan adalah ....
Explanation The given answer {(2 , -1), (1 , -1), (0 , -1), (-1, -1)} is the correct answer because it represents a mapping or relation between the input values and the corresponding output values. In this mapping, all the input values have the same output value of -1, which means that each input value is related to the output value of -1. This is evident from the given set of ordered pairs, where the second element of each pair is always -1. Therefore, this set of ordered pairs represents a valid mapping or relation.
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7.
Berikut ini relasi yang bukan merupakan korespondensi satu-satu adalah ....
A.
Setiap negara dan lagu kebangsaannya
B.
Setiap siswa dan nomor induknya
C.
Setiap anak dan kampung halamannya
D.
Setiap negara dan ibukotanya
Correct Answer
C. Setiap anak dan kampung halamannya
Explanation The relationship between every child and their hometown is not a one-to-one correspondence because multiple children can come from the same hometown.
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8.
Gradien dari persamaan garis 6y - 4x - 5 = 0 adalah ....
A.
- 3
B.
- 2
C.
3/2
D.
2/3
Correct Answer
D. 2/3
Explanation The gradient of a line is determined by the coefficient of x in the equation. In this equation, the coefficient of x is -4. The gradient is calculated by dividing the coefficient of x by the coefficient of y. So, -4 divided by 6 gives us -2/3. Therefore, the correct answer is 2/3.
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9.
Persamaan garis yang melalui titik (2 , 3) dan ( - 1, 0) adalah ....
A.
Y = x + 1
B.
Y = x - 3
C.
Y = 2x - 1
D.
Y = 1 - x
Correct Answer
A. Y = x + 1
Explanation The equation of the line passing through the points (2, 3) and (-1, 0) can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which can be calculated as (change in y)/(change in x).
Slope = (3 - 0)/(2 - (-1)) = 3/3 = 1
Next, we can substitute the slope and one of the given points into the equation to find the y-intercept. Using the point (2, 3):
3 = 1(2) + b
3 = 2 + b
b = 3 - 2
b = 1
Therefore, the equation of the line passing through the points (2, 3) and (-1, 0) is y = x + 1.
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10.
Gradien dari garis yang melalui titik (3 , -2) dan (5 , 6) adalah ....
A.
- 2
B.
1
C.
2
D.
4
Correct Answer
D. 4
Explanation The gradient or slope of a line is calculated by finding the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line. In this case, the given points are (3, -2) and (5, 6). The difference in the y-coordinates is 6 - (-2) = 8 and the difference in the x-coordinates is 5 - 3 = 2. Therefore, the gradient is 8/2 = 4.
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