Ulangan Remedial Matematika Mts Kelas VIII

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.

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.

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.

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.

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.

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.

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.

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.

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).

Explanation
The given problem states that the price of 3 pencils and 5 notebooks is Rp. 12,000. In order to represent this mathematically, we can assign the price of a pencil as 'y' and the price of a notebook as 'x'. The equation that represents this situation is 5x + 3y = 12,000. This equation shows that if we multiply the price of a notebook by 5 and the price of a pencil by 3, the sum will be equal to 12,000. Therefore, the correct answer is 5x + 3y = 12,000.