# Ulangan Remedial Matematika Mts Kelas VIII

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Pilihlah jawaban berikut dengan tepat dan benar ..!

• 1.

### Bentuk sederhana dari  -2x + 4y + 7x - 2y + 7 adalah .....

• A.

-5x + 2y + 7

• B.

5x + 2y + 7

• C.

-5x + 2y - 7

• D.

5x -2y +7

B. 5x + 2y + 7
Explanation
The given expression is a combination of like terms. By combining the like terms, we can simplify the expression to its simplest form. The simplified form of -2x + 4y + 7x - 2y + 7 is 5x + 2y + 7.

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• 2.

### Pemfaktoran  bentuk 2a + 8 adalah ....

• A.

2 ( a + 8 )

• B.

2 ( a + 4 )

• C.

4 ( a + 2 )

• D.

2 ( a + 1 )

B. 2 ( a + 4 )
Explanation
The given expression is 2a + 8. To factor this expression, we need to find the common factor of both terms. In this case, the common factor is 2. By factoring out 2, we get 2(a + 4), which is the correct answer.

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• 3.

### Relasi - relasi dari himpunan A = { 2, 3, 5, 7 } ke himpunan B = { a, b, c, d } dinyatakan dengan himpunan pasangan berurutan berikut ini : I. { (2, a), (3,a), (5,a) } II. { (2,a), (3,b), (5,a), (7,b) } III. { (2,a), (3,b), (5,c), (7,c), (7,d) } IV. { (2,a), (3,b), (5,b), (7,d) } Diantara Relasi - relasi diatas yang merupakan fungsi adalah ....

• A.

I dan II

• B.

I dan III

• C.

II dan III

• D.

II dan IV

D. II dan IV
Explanation
The correct answer is II and IV.

In a function, each element in the domain (set A) must have a unique mapping to an element in the codomain (set B). In relation II, all elements in set A have unique mappings to elements in set B. However, in relation III, the element 7 in set A is mapped to both c and d in set B, violating the uniqueness requirement. In relation IV, the element 5 in set A is also mapped to both b and d in set B, again violating the uniqueness requirement. Therefore, only relation II satisfies the conditions of a function.

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• 4.

### Bayangan 3 dari fungsi f (x) = 2x - 1 adalah ....

• A.

-6

• B.

-5

• C.

5

• D.

6

C. 5
Explanation
The correct answer is 5 because when we substitute x = 3 into the function f(x) = 2x - 1, we get f(3) = 2(3) - 1 = 6 - 1 = 5. Therefore, the shadow or image of 3 in the function is 5.

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• 5.

• A.

( 1, 2 ) dan ( 2, 4 )

• B.

( 2, 3 ) dan ( 4,6 )

• C.

( 3,4 ) dan ( 6,8 )

• D.

( 4,5 ) dan ( 8,10 )

A. ( 1, 2 ) dan ( 2, 4 )
Explanation
The correct answer is ( 1, 2 ) dan ( 2, 4 ) because the points (1, 2) and (2, 4) have a gradient of 2. The gradient of a line represents the rate at which the line is increasing or decreasing. In this case, for every increase of 1 in the x-coordinate, there is an increase of 2 in the y-coordinate. Therefore, the gradient is 2.

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• 6.

### Suatu garis dengan gradien -2 melalui titik ( 3, - 2 ). jika titik ( - 5 , a ) terletak pada garis itu, maka nilai a adalah ....

• A.

14

• B.

16

• C.

18

• D.

20

A. 14
Explanation
The given question asks for the value of "a" if the point (-5, a) lies on a line with a gradient of -2 passing through the point (3, -2). To find the value of "a," we can use the slope-intercept form of a linear equation, y = mx + b, where "m" is the gradient and "b" is the y-intercept. By substituting the given values into the equation, we can solve for "b." Then, we substitute the x-coordinate of the new point (-5) into the equation to find the value of "a." In this case, the value of "a" is 14.

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• 7.

### Persamaan garis yang melalui titik ( 5, - 5 ) dan ( -5, 1 ) adalah ....

• A.

3x + 5y - 2 = 0

• B.

3x + 5y + 2 = 0

• C.

3x + 5y - 10 = 0

• D.

3x + 5y + 10 = 0

D. 3x + 5y + 10 = 0
Explanation
The equation of the line passing through the points (5, -5) and (-5, 1) is 3x + 5y + 10 = 0. This can be determined by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept. By substituting the coordinates of one of the given points into the equation, we can solve for b. Then, by substituting the slope and the value of b into the equation, we can obtain the correct equation of the line.

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• 8.

### Persamaan garis yang melalui titik ( 0, - 5 ) dan sejajar dengan garis yang memiliki persamaan  4x + 2y - 8 = 0 adalah ...

• A.

Y = 2x - 5

• B.

Y = - 2x - 5

• C.

Y = - 2x + 5

• D.

Y = 2x + 5

B. Y = - 2x - 5
Explanation
The given equation 4x + 2y - 8 = 0 can be rearranged to 2y = -4x + 8, and then simplified to y = -2x + 4. However, since the line needs to be parallel to this line and pass through the point (0, -5), the y-intercept needs to be -5. Therefore, the correct equation is Y = - 2x - 5.

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• 9.

### Himpunan penyelesaian dari sistem persamaan Linear 2x + y = 6 dan 3x - y = 14, adalah ....

• A.

( 4, - 2 )

• B.

( 4,2 )

• C.

( 2, - 4 )

• D.

( 2,4 )

A. ( 4, - 2 )
Explanation
The given system of linear equations can be solved by using the method of substitution or elimination. By substituting the value of y from the first equation into the second equation, we get 3x - (2x + 6) = 14, which simplifies to x = 4. Substituting this value of x into the first equation, we get 2(4) + y = 6, which simplifies to y = -2. Therefore, the solution to the system of equations is (4, -2).

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• 10.

### Harga 3 buah pensil  dan 5 buah buku tulis adalah Rp. 12.000,- jika pensil di misalkan dengan Y dan buku tulis dimisalkan dengan X, maka model matematikanya adalah .....

• A.

3x + 5y = 12000

• B.

3x - 5y = 12000

• C.

5x + 3y = 12000

• D.

5x - 3y = 12000