Answer:
1. (i) m - 2 = 2 - 2 = 0
1. (i) 3m - 5 = 3(2) - 5 = 6 - 5 = 1
1. (ii) 9 - 5m = 9 - 5(2) = 9 - 10 = – 1
1. (iii) 3m² - 2m - 7 = 3(2)² - 2(2) - 7 = 3(4) - 4 - 7 = 12 - 11 = 1
[tex]1.(iv) \: \frac{5m}{2} - 4 = \frac{5(2)}{2} - 4 = \frac{10}{2} - 4 = 5 - 4 = 1[/tex]
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2. (i) 4p +7 = 4(-2) + 7 = -8+7= – 1
2. (ii) -3p² + 4p+7 = -3(-2)² + 4(-2) + 7 = -3(4) -8+7 = -12-8+7 = -20 +7 = – 13
2. (iii) -2p³-3p²+4p+7 = -2(-2)³ - 3(-2)² +4(-2) +7 = -2(-8) -3(4) -8 = 16-12-8=16-20= – 4
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3. (i) 2x -7 =2(-1)-7= - 2 -7 = – 9
3. (ii) -x+2 = -(-1)+2= 1+2 =3
3. (iii) x²+2x+1 = (-1)²+2(-1)+1 =1 -2+1=2-2=0
3. (iv) 2x²-x-2= 2(-1)²-(-1)-2=2+1-2= 1
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4. (i) a²+b² = (2)²+(-2)² =4+4= 8
4. (ii) a²+ab+b² = (2)²+(2)(-2)+(2)²= 4 -4+4= 4
4. (iii) a²-b² = (2)² - (-2)² = 4 - 4 = 0
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5. (i) 2a+2b = 2(0)+2(-1) = 0-2 = - 2
5. (ii) 2a² +b²+1 = 2(0)² + (-1)² +1 = 0+1+1 = 2
5. (iii) 2a²b+2ab²+ab = 2(0)²(-1) + 2(0)(-1)²+(0)(-1) = 0
5. (iv) a²+ab+2 = (0)²+(0)(-1)+2 = 2
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6. (i) x+7+4(x-5) = x + 7 + 4x - 20 = 5x - 13 = 5(2) - 13 = 10 - 13 = - 3
6. (ii) 3(x+2)+5x-7 = 3x +6+5x -7 = 8x -1 = 8(2) -1 = 16 - 1 = 15
6. (iii) 6x+5(x-2) = 6x +5x -10 = 11x - 10 = 11(2)-10 = 22 - 10 = 12
6. (iv) 4(2x-1)+3x+11 = 8x - 4 +3x+11 = 11x + 7 = 11(2)+7 = 22+7 = 29
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7. (i) 3x-5-x+9 = 2x + 4 = 2(3) +4 = 6+4=10
7. (ii) 2-8x+4x+4 = – 4x + 6 = - 4(3) +6= - 12+6= – 6
7. (iii) 3a+5-8a+1 = – 5a +6= - 5(-1) +6= 5+6=11
7. (iv) 10 -3b-4-5b = - 8b + 6 = -8(-2)+6= 16 +6 = 22
7. (v) 2a-2b-4-5+a = 3a -2b - 9 = 3(-1) - 2(-2) - 9 = - 3 + 4 -9 = - 12 +4 = – 8
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8. (i) z³ - 3 (z-10) = (10)³ - 3(10-10) = 1000 - 3(0) = 1000
8. (ii) p²-2p-100 = (-10)² - 2(-10) -100 = 100 + 20 -100 = 20
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9. 2x² +x - a = 5 ==> 2(0)² +(0)- a = 5 ==> 0 - a = 5 ==> -a=5 ==> a = – 5
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10. 2(a²+ab)+3-ab ==> 2a² + 2ab +3 - ab ==> 2a² + ab +3 ==> 2(5)²+ (5)(-3) +3 = 2(25)- 15 +3 = 50-15+3 = 53-15 = 38
I hope I helped you^_^
