Operasi Aljabar (Kls.7)

Explanation
The given expression consists of terms with variables a and b. To simplify the expression, we can combine like terms. The terms 5ab and -4ab can be combined to give ab. The terms 8a and -5a can be combined to give 3a. The terms 2b remain the same. Therefore, the simplified form of the expression is ab + 3a + 2b.

Explanation
The given expression is (-2)(5x - 1) which can be simplified as -10x + 2. Then, this expression is subtracted from 4(-2x - 3), which can be simplified as -8x - 12. Subtracting -10x + 2 from -8x - 12 gives 2x - 14.

Explanation
The given expression is a combination of like terms. The terms 9a and -2a can be combined to give 7a, and the terms 6b and -3b can be combined to give 3b. Therefore, the simplified form of the expression is 7a + 3b.

Explanation
The given expression can be simplified by distributing the coefficients. Starting with the first term, 2a(b - 2), we can distribute the 2a to get 2ab - 4a. Moving on to the second term, 3(a + 2b), we can distribute the 3 to get 3a + 6b. Finally, the third term, 3a - 4b, remains the same. Combining all the terms, we have 2ab - 4a + 3a + 6b + 3a - 4b. Simplifying further, we get 2ab + 2a + 2b, which matches the answer choice 2(ab + a + b).

Explanation
The given expression is simplified by combining like terms. We have -2ab + 3bc + 4ab - 3bc - 5ac. Combining like terms, we get -2ab + 4ab - 5ac. Simplifying further, we have 2ab - 5ac.

Explanation
The given expression asks for the sum of 2x + 3 and 3x - 10. To find the sum, we combine like terms by adding the coefficients of x and the constants separately. The sum of the x terms is 2x + 3x = 5x, and the sum of the constant terms is 3 + (-10) = -7. Therefore, the correct answer is 5x - 7.

Explanation
The given expression can be simplified by distributing the coefficients to the terms inside the parentheses. Simplifying the expression gives us -8x - 6 - 15x - 21. Combining like terms, we get -23x - 27. Therefore, the correct answer is -23x - 27, not -7x - 15.

Explanation
The correct answer is -8 because when we simplify the equation 3(a + 4) = 4(a + 5), we get 3a + 12 = 4a + 20. By subtracting 3a from both sides, we get 12 = a + 20. Subtracting 20 from both sides, we get -8 = a, which means that a is equal to -8.

Explanation
The correct answer is -2 because when we simplify the equation 2(p - 4) = 4(p - 1), we get 2p - 8 = 4p - 4. By rearranging the terms, we have 2p - 4p = -4 + 8, which simplifies to -2p = 4. Dividing both sides by -2, we find that p = -2. Therefore, -2 is the value that satisfies the given equation.

Explanation
The equation given is 8(a + 5) = 3(a - 5) - 6a. To solve this equation, we can start by distributing the 8 and the 3 to the terms inside the parentheses. This gives us 8a + 40 = 3a - 15 - 6a. Next, we can combine like terms by subtracting 3a from both sides and adding 6a to both sides. This simplifies the equation to 5a + 40 = -15. Finally, we can isolate the variable by subtracting 40 from both sides. This gives us 5a = -55. Dividing both sides by 5, we find that a = -11. Therefore, the correct answer is -11.