Step-by-step explanation:
a) addition
b) subtraction
11) a) 4x + (-7x) = 4x - 7x = -3x
b) 4x - (-7x) = 4x + 7x = 11x
12) a)-20y +(-40y) = -20y - 40y = -60y
b)-20y -(-40y) = -20y + 40y = 20y
13) a) -3xy² + 5xy² = 2xy²
b) -3xy² - 5xy² = -8xy²
14) a) 9yz + (-14yz) = 9yz - 14yz = - 5yz
b) 9yz - (-14yz) = 9yz + 14yz = 23yz
15) a)-6x² +(-7x²) = -6x² - 7x² = -13x²
b)-6x² -(-7x²) = -6x² + 7x² = x²
16)a) -12ab + ab = -11ab
b) -12ab - ab = -13ab
17) a) 5(a+2) + 6(a+2) = 11 (a+2)
or 5a +10 + 6a + 12 = 11a + 22 = 11(a+2)
b)5(a+2) - 6(a+2) = - (a+2)
or 5a +10 - 6a - 12 = -a -2 = -(a+2)
18) a)-(-mn+2) + (-mn+2) = 0
or mn -2 -mn +2 =0
b)-(-mn+2) - (-mn+2) = -2(-mn+2)
or mn -2 + mn - 2 = 2mn -4 = -2( -mn +2)
19) a) 1/2 xy + (- 1/2 xy) = 1/2 xy - 1/2 xy =0
b)1/2 xy - (- 1/2 xy) =1/2 xy + 1/2 xy = (2/2)xy=xy
20) a)0.3abc + 1.2abc = 1.5abc
b)0.3abc - 1.2abc = -0.9abc
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Answers & Comments
Step-by-step explanation:
a) addition
b) subtraction
11) a) 4x + (-7x) = 4x - 7x = -3x
b) 4x - (-7x) = 4x + 7x = 11x
12) a)-20y +(-40y) = -20y - 40y = -60y
b)-20y -(-40y) = -20y + 40y = 20y
13) a) -3xy² + 5xy² = 2xy²
b) -3xy² - 5xy² = -8xy²
14) a) 9yz + (-14yz) = 9yz - 14yz = - 5yz
b) 9yz - (-14yz) = 9yz + 14yz = 23yz
15) a)-6x² +(-7x²) = -6x² - 7x² = -13x²
b)-6x² -(-7x²) = -6x² + 7x² = x²
16)a) -12ab + ab = -11ab
b) -12ab - ab = -13ab
17) a) 5(a+2) + 6(a+2) = 11 (a+2)
or 5a +10 + 6a + 12 = 11a + 22 = 11(a+2)
b)5(a+2) - 6(a+2) = - (a+2)
or 5a +10 - 6a - 12 = -a -2 = -(a+2)
18) a)-(-mn+2) + (-mn+2) = 0
or mn -2 -mn +2 =0
b)-(-mn+2) - (-mn+2) = -2(-mn+2)
or mn -2 + mn - 2 = 2mn -4 = -2( -mn +2)
19) a) 1/2 xy + (- 1/2 xy) = 1/2 xy - 1/2 xy =0
b)1/2 xy - (- 1/2 xy) =1/2 xy + 1/2 xy = (2/2)xy=xy
20) a)0.3abc + 1.2abc = 1.5abc
b)0.3abc - 1.2abc = -0.9abc
I'm glad to be of service.