Վարժություն 1.
1) 5a + 2a = 7a 2) 6b – 4b = 2b 3) 2x + 7x – 5x = 4x 4) 3y – y – 4y + 8y = 6y 5) 4a – 5b – 2a – 3b = 2a – 8b
Վարժություն 2.
1) 5a – (2a + 3b) = 5a – 2a – 3b = 3a – 3b
2) 7x – (4x – 2y) = 7x – 4x + 2y = 3x + 2y
3) 4y – (y-3) = 4y – y + 3 = 3y + 3 = 3 (y+1)
4) 9m+ (6n – 7m) = 9m + 6n – 7m = 2m + 6n
5) (3a2 – 5a) – (a2 – 4a) = 3a2 – 5a + 4a – a2 = 2a2 – a
Վարժություն 3.
1)2a + 5b
A = 4, b = -3
8 – 15 = -7
2) 4m – 3n + 1
M = -5, n = -8
-20 + 24 + 1 = 4 + 1 = 5
3) 5x + 2y – 3z + 7
X = 6, y = -17, z = -3
30 + (-34) + 9 + 7 = -4 + 16 = 12
4) 2ab – 3bc – 4ac
A = 4, b = -2, c = 3
-16 + 18 – 48 = -46
5) 3x – 4y + xy – 46
X = -2, y = -6
-6 + 24 + 12 – 46 = 30 – 46 = -16
Վարժություն 4.
1)A3 * a5 = a8
2)b7 * b2 = b9
3)(-m2) * m4 = -m6
4)(-x2) * (-x6) = x8
5)y5 * (-y6) = -y11
6)c2 * c5 * c4 = c11
7)pn * p2 = p n+2
8)am * a4 = a m+4
9)xn * xk * x3 = x n+k+3
10)y n+2 * y3 = y n+2+3
Վարժություն 6.
1) (x+2) (x+3) = x2 – 3x + 2x – 6 = x2 – x – 6
2)(5x + 1) (2x + 4) = 10x2 + 20x + 2x + 4 = 10x2 + 22x + 4
3)(3b + 2)(4 – b) = 12b – 3b2 + 8 – 2b = 10b – 3b2 + 8
4) (2y – 5)(4y – 3) = 8y2 – 6y – 20y + 15 = 8y2 + 26y +15
5) (3a + 4)(2a – 3) = 6a2 – 9a + 8a -12 = 6a2 – 1 – 12 = 6a2 – 13
Վարժություն 7.
1)(a3)2 = a6
2)(x2)4 = x8
3)(-y4)3 = -y12
4)(-x5)4 = -x20
5)(-c8)5 = -c40
6)(x3)7 = x21
7)(-y15)3 = -y45
8)(b6)2 = b12
9)(z3)n = z3n
10)(yk)5 = y5k
11)(x2n)8 = x16n
12)(-ak-1) 4= -a 4(k-1)
13)(-b4n)3 = -b 12n
14)(-x6)2k = -x12k
15) (-a3)2n+1 = -a 6n+3
Վարժություն 8.
8) 9abc : 6bc = 3a /2
9)8xyz : (-2xz) = -4y
10)(-12mn) : 4mn = -3
11)a8 : a5 = a3
12)x7 : x3 = x4
13)y11 : y6 = y5
14)p9 : p8 = p
15)b15 : (-b12) = -b 3
16)z8 : z8 = 1
17)am : an = a m-n
18)b3n : b 2n -1 = b n+1
19) c 2k +3 : c k-4 = c k+7
20)y3n-2 : y1-n = y 4n-3
Վարժություն 18.
10)ab +b = b (a+1)
11)mx – m = m (x-1)
12)-2a – 5at = -a (2+5t)
13) 6a + 12 = 6 (a+2)
14) 4x – 8 = 4(x-2)
15)5-15y = 5 (1-3y)
16)10 + 5b = 5 (2+b)
17)3 – 3c = 3 (1-c)
18) 2 + 6d = 2 (1+3d)
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