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1. Rezolvaţi ecuaţiile: a) x+5=12 c) x-12=31 e) 3x=27 g) 4 = 6 b) -2+x=14 d) 4-x= 14 f)-7x=56 h) 3 = 5 2. Rezolvaţi ecuaţiile: a) 2x+4=0 c) 5x-6=0 e) 2x-7=0 g) √5 − √20 = 0 b) -21-7x=0 d) 2-3x= 0 f)-4x-9=0 h) x√2 − √3 = 0 3. Detrminaţi soluţiile ecuaţiilor: a) 2x-7=13 c) 5x-11=x-3 e) 2x+3=3x+2 b) -7+6x =4x+15 d) 8x+20=3x f) √2 + 2 = √18 4. Rezolvaţi ecuaţiile: a) 5(3x-2)+3x-6(8x-13)=16(9-2x)-78 c) 2(3x-4)+5(6x-7)-3x = 9(x+10)+11(x+12)+8 b) 2(3x+4)-5(2x-3)-2=7(2x-4)+2(8-5x)+3x d) 3(6x-5)-2(4x+3)+13= -2(-4x+9)+2x-5(3x-2) 5.Determinați valorile ∈R pentru care următoarele ecuații sunt echivalente: a) x-3(2x-5)=5(x-1) şi m(x-1)=m b) mx-1+2(-mx+1)=x-m și 3x+4-2(x-1)=4(x-3)+3(6-x) 6. Rezolvaţi ecuaţiile: a) +3 2 − 1 2 + 2+7 = 1 c) −4 6 − 5 + 3 2 = 2−1 10 b)11−4 −4 + 1− 2 = 6 − d) 1− 3 + 1+3 4 = 2 − 1 7) Rezolvați ecuațiile: a) || = 6 b) 2|| = 0 c) |2 + 4| = 12 d) |− + 7| = 25 e)| −3 2 | = 5 f) | 2−1 3 | = 7 g) || − 3| − 2|=4 h) ||−3 − 2| − 2|=7 8) Rezolvaţi ecuaţiile: a) x+2x+3x+.....+10x=550 b) 1x+2x+3x+....2020x=1010∙2021 c) x+1++2 2 + +3 3 + ⋯ + +2021 2021 + +2022 2022 =2022​

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Marcupatricia1

Răspuns:

1. a) x = 7, c) x = 43, e) x = 9/3 = 3, g) No solution (false statement)

b) x = 16, d) x = -10, f) x = -56/(-7) = 8, h) No solution (false statement)

2. a) x = -2, c) x = 6/5, e) x = 7/2, g) No solution (irrational)

b) x = -3, d) x = 2/3, f) x = -9/(-4) = 9/4, h) x = √(3/2)

3. a) x = 10, c) x = 8/4 = 2, e) x = 1, b) x = 11, d) x = -4, f) No solution (false statement)

4. a) x = 1, c) x = 20, e) x = 1, b) x = 2, d) x = 5, f) No solution (false statement)

5. a) m = 5, b) m = 7, c) No solution (false statement)

6. a) x = 5, c) No solution (false statement), b) x = 12, d) No solution (false statement)

7. a) x = 6, b) No solution (false statement), c) x = -2 or x = 2, d) x = -18 or x = 11, e) No solution (false statement), f) No solution (false statement), g) x = -1 or x = 5, h) x = -6 or x = 5

8. a) x = 55, b) x = 1010, c) x = 2022

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