Answer:
- C
- D
- A
- C
- B
- B
- B
- B
- C
- C
- A
- D
- C
- C
- D
Step-by-step explanation:
1.
3x + (-5x) + 6x
3x - 5x + 6x
-2x + 6x
= 4x
2.
(7a + 3) + (4a - 1)
7a + 3 + 4a - 1
= 11a + 2
3.
(5x² + 6xy) + (-7x² + 8xy)
5x² + 6xy - 7x² + 8xy
= -2x² + 14xy
4.
(-7a + 5) + (7a -5)
-7a + 5 + 7a - 5
= 0
Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.
5.
(7x²y - 9xy²) + (-10x²y + 13xy²)
7x²y - 9xy² - 10x²y + 13xy²
= -3x²y + 4xy²
6.
The number in a subtraction sentence from which we subtract another number is called a minuend.
7.
(5a + 9b) + (-7a - 3b)
5a + 9b - 7a - 3b
= -2a + 6b
8.
(4x + 9y) + (-8x - 12y)
4x + 9y - 8x - 12y
= -4x - 3y
9.
-4xy - (-8xy)
-4xy + 8xy
= 4xy
10.
(4x + 5y) + (5x + 9y)
4x + 5y + 5x + 9y
= 9x + 14y
11.
(7a² - 6a + 3) + (-4a² + 6a - 4)
7a² - 6a + 3 - 4a² + 6a - 4
= 3a² - 1
12.
(14x - 3) - (7x + 3)
14x - 3 - 7x - 3
= 7x - 6
13.
(7x² - 8x + 3) - (5x²+ 4x - 1)
7x² - 8x + 3 - 5x² - 4x + 1
= 2x² - 12x + 4
14.
(8a² - 4a + 8) - (4a² + 5a - 6)
8a² - 4a + 8 - 4a² - 5a + 6
= 4a² - 9a + 14
15.
(3a²b³) - (-2a²b³)
3a²b³ + 2a²b³
= 5a²b³
