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8. ročníkVýrazySčítání a odčítání

Sčítání a odčítání výrazů

1) Vypočtěte

  1. 7x+2x+3x=7x + 2x + 3x =
  2. −5a+8a−a=-5a + 8a - a =
  3. 4y2+(−2y2)+6y2=4y^2 + (-2y^2) + 6y^2 =

2) Vypočtěte

  1. 9a−4a−a=9a - 4a - a =
  2. −3x−5x−(−2x)=-3x - 5x - (-2x) =
  3. 7y3−2y3−4y3=7y^3 - 2y^3 - 4y^3 =

3) Vypočtěte

  1. 5x+2y−3x+4y−x=5x + 2y - 3x + 4y - x =
  2. −2a2+7ab+3a2−5ab−a2=-2a^2 + 7ab + 3a^2 - 5ab - a^2 =
  3. 4m3−6m+m−2m3+3m=4m^3 - 6m + m - 2m^3 + 3m =
  1. 1.2p+0.5q−0.7p−1.1q+0.3p=1.2p + 0.5q - 0.7p - 1.1q + 0.3p =
  2. 13r−25s+23r+110s−r=\frac{1}{3}r - \frac{2}{5}s + \frac{2}{3}r + \frac{1}{10}s - r =
  3. −0.8b+1.3c−0.2b−0.9c+1.5b=-0.8b + 1.3c - 0.2b - 0.9c + 1.5b =

4) Vypočtěte

  1. (4a+b)+(2a−3b)+(−a+2b)=(4a + b) + (2a - 3b) + (-a + 2b) =
  2. (x2−2x+5)+(3x2+x−1)+(−2x2−x+2)=(x^2 - 2x + 5) + (3x^2 + x - 1) + (-2x^2 - x + 2) =
  3. (2m3+3m−4)+(−m3−2m+6)+(m3−m−2)=(2m^3 + 3m - 4) + (-m^3 - 2m + 6) + (m^3 - m - 2) =

5) Vypočtěte

  1. (8x−3y)−(2x+y)−(3x−5y)=(8x - 3y) - (2x + y) - (3x - 5y) =
  2. (a2+4a−2)−(3a2−a+4)−(−a2+2a−1)=(a^2 + 4a - 2) - (3a^2 - a + 4) - (-a^2 + 2a - 1) =
  3. (5n3−2n+7)−(n3+3n−2)−(2n3−n+1)=(5n^3 - 2n + 7) - (n^3 + 3n - 2) - (2n^3 - n + 1) =

6) Vypočtěte

  1. (x+3y)+(2x−y)−(4x+y)=(x + 3y) + (2x - y) - (4x + y) =
  2. (a2−2b)−(2a2+b)+(a2−3b)=(a^2 - 2b) - (2a^2 + b) + (a^2 - 3b) =
  3. (3m3−2m+1)+(−2m3+m−5)−(m3−4m+2)=(3m^3 - 2m + 1) + (-2m^3 + m - 5) - (m^3 - 4m + 2) =
  4. (0.6p+1.1q−0.4)−(0.9p−0.2q+0.7)+(0.1p+0.5q−1.3)=(0.6p + 1.1q - 0.4) - (0.9p - 0.2q + 0.7) + (0.1p + 0.5q - 1.3) =
  5. (13r2−12s)+(16s−23r2)−(−12r2+14s)=(\frac{1}{3}r^2 - \frac{1}{2}s) + (\frac{1}{6}s - \frac{2}{3}r^2) - (-\frac{1}{2}r^2 + \frac{1}{4}s) =
  6. (−1.2a+0.8b)−(0.5a−1.5b)+(2.1a−0.3b)=(-1.2a + 0.8b) - (0.5a - 1.5b) + (2.1a - 0.3b) =

7) Vypočtěte

  1. (2x2y−4xy2+x)+(xy2+2x−3x2y)+(−x2y+xy2−x)=(2x^2y - 4xy^2 + x) + (xy^2 + 2x - 3x^2y) + (-x^2y + xy^2 - x) =
  2. (5a3b+ab3−2a2b2)−(2ab3+a3b−3a2b2)−(3a3b−ab3+a2b2)=(5a^3b + ab^3 - 2a^2b^2) - (2ab^3 + a^3b - 3a^2b^2) - (3a^3b - ab^3 + a^2b^2) =
  3. (−2m4n+4mn3−m2n2)+(m4n−2mn3+3m2n2)−(−m4n+mn3−m2n2)=(-2m^4n + 4mn^3 - m^2n^2) + (m^4n - 2mn^3 + 3m^2n^2) - (-m^4n + mn^3 - m^2n^2) =

8) Vypočtěte

  1. [(a+2b)+(2a−b)]−(3a−2b)=[ (a + 2b) + (2a - b) ] - (3a - 2b) =
  2. (x2−x+3)Vypocˇteˇte[(2x2+3x−1)−(x2−2x+4)]=(x^2 - x + 3) Vypočtěte [ (2x^2 + 3x - 1) - (x^2 - 2x + 4) ] =
  3. {(m3−m+2)+(−m3+2m−5)}−(−2m3−m+1)=\{ (m^3 - m + 2) + (-m^3 + 2m - 5) \} - (-2m^3 - m + 1) =

9) Vypočtěte

  1. 0.5x+23y−0.1x−16y+0.3x=0.5x + \frac{2}{3}y - 0.1x - \frac{1}{6}y + 0.3x =
  2. 14a2−0.75ab+34a2+0.25ab−a2=\frac{1}{4}a^2 - 0.75ab + \frac{3}{4}a^2 + 0.25ab - a^2 =
  3. −1.8m3+310n−0.2m3−15n+2m3=-1.8m^3 + \frac{3}{10}n - 0.2m^3 - \frac{1}{5}n + 2m^3 =

10) Vypočtěte

  1. 2(3x−2y)+3(x+y)−(4x−5y)=2(3x - 2y) + 3(x + y) - (4x - 5y) =
  2. −(a2−4ab+3b2)+2(2a2+ab−b2)−(3a2−2ab+b2)=-(a^2 - 4ab + 3b^2) + 2(2a^2 + ab - b^2) - (3a^2 - 2ab + b^2) =
  3. 13(6m3−3m+9)−12(4m3+2m−6)=\frac{1}{3}(6m^3 - 3m + 9) - \frac{1}{2}(4m^3 + 2m - 6) =
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