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# 8_exercicios_equacao 1grau

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LISTA DE EXERCÍCIOS FUNDAMENTOS DA MATEMÁTICA Prof. Marcos Calil EQUAÇÃO DO 1º GRAU 1) Resolva as equações: a) 20x - 4 = 5x b) 5(1 - x) - 2x + 1 = -3(2 + x) c) 4x = -8x + 36 d) 2 + 3[x -(3x + 1)] = 5[x -(2x - 1)] e) 4(x - 3) = 2x - 5 f) 1 - 2x = 2 x 3 x \u2212 g) 6 3)5(x 5 2x1)3(x \u2212=\u2212\u2212 h) 4 1 3x 52x =+ Respostas: a) 4/15 b) 3 c) 3 d) -6 e) 3,5 f) 6/11 g) 3 h) -4 2) Dada a equação 7x \u2013 3 = x + 5 \u2013 2x, responda: a) qual é o 1º membro? b) qual é o 2º membro? c) qual o valor de x? Respostas: a)7x -3 b) x+ 5 \u2013 2x c)1 3) O número que, colocado no lugar de x, torna verdadeira a sentença x - 7 = 10 é: a) 3 b) 4 c) -3 d)17 Resposta: c 4) Resolva: a) x - 3 = 5 g) 2 4 x 2 x =+ m) 6x - 4 = 2x + 8 b) x + 2 = 7 h) 0 = x + 12 n) 17x - 2 + 4 = 10 + 5x c) 15 2 x 3 x =+ i) -3 = x + 10 o) 4x \u2013 10 = 2x + 2 d) x - 7 = -7 j) 3 4 y = p) 5x + 6x \u2013 16 = 3x + 2x - 4 e) x - 109 = 5 k) 2 5 x = q) 5(2x -4) = 7(x + 1) - 3 f) 15 = x +1 l) 3x = 12 r) 4(x + 3) = 1 Respostas: a) 8 f) 14 l) 4 b) 5 g) 8/3 m) 3 c) 18 h) -12 n) 2/3 d) 0 i)-13 o) 6 e) 114 j) 12 p) 2 k) 10 q) 8 r) -11/4 5) Resolva a equação 610x 9 15x 4 + = + Resposta: x = 3 6) Resolva a equação 9 610x 4 15x +=+ Resposta: x = 3 7) Resolva a equação 208x 4 410x 6 \u2212 = \u2212 Resposta: x = 13 8) Resolva a equação 4 208x 6 410x \u2212=\u2212 Resposta: x = 13 9) A solução da equação x [1 + 2 (3 \u2013 1)] = 4x \u2013 7 é: a) -5 b) -6 c) -7 d) -8 e) -9 Resposta: c 10) O valor da equação 4 + [x \u2013(2 + 1)2 + 1] = 6 \u2013 x(1 \u2013 2)2 é: a) \u20135 b) 5 c) 4 d) \u20134 e) 6 Resposta: b 11) A solução da equação x [1 + 2 (3 \u2013 1)] = 4x \u2013 7 é: a) -7 b) -6 c) -5 d) -4 e) 3 Resposta: a 12) A solução da equação 4 208x 6 410x \u2212=\u2212 é: a) -5 b) 0 c) 13 d) 10 e) 20 Resposta: c 13) Resolva as equações: a) 4\ud835\udc65\ud835\udc65 \u2212 1 = 3(\ud835\udc65\ud835\udc65 \u2212 1) b) 3(\ud835\udc65\ud835\udc65 \u2212 2) = 2\ud835\udc65\ud835\udc65 \u2212 4 c) 2(\ud835\udc65\ud835\udc65 \u2212 1) = 3\ud835\udc65\ud835\udc65 + 4 d) 3(\ud835\udc65\ud835\udc65 \u2212 1) \u2212 7 = 15 e) 7(\ud835\udc65\ud835\udc65 \u2212 4) = 2\ud835\udc65\ud835\udc65 \u2212 3 f) 3(\ud835\udc65\ud835\udc65 \u2212 2) = 4(3 \u2212 \ud835\udc65\ud835\udc65) g) 3(3\ud835\udc65\ud835\udc65 \u2212 1) = 2(3\ud835\udc65\ud835\udc65 + 2) h) 7(\ud835\udc65\ud835\udc65 \u2212 2) = 5(\ud835\udc65\ud835\udc65 + 3) i) 3(2\ud835\udc65\ud835\udc65 \u2212 1) = \u22122(\ud835\udc65\ud835\udc65 + 3) j) 5\ud835\udc65\ud835\udc65 \u2212 3(\ud835\udc65\ud835\udc65 + 2) = 15 k) 2\ud835\udc65\ud835\udc65 + 3\ud835\udc65\ud835\udc65 + 9 = 8(6 \u2212 \ud835\udc65\ud835\udc65) l) 4(\ud835\udc65\ud835\udc65 + 10) \u2212 2(\ud835\udc65\ud835\udc65 \u2212 5) = 0 m) 3(2\ud835\udc65\ud835\udc65 + 3) \u2212 4(\ud835\udc65\ud835\udc65 \u2212 1) = 3 n) 7(\ud835\udc65\ud835\udc65 \u2212 1) \u2212 2(\ud835\udc65\ud835\udc65 \u2212 5) = \ud835\udc65\ud835\udc65 \u2212 5 o) 2(3 \u2212 \ud835\udc65\ud835\udc65) = 3(\ud835\udc65\ud835\udc65 \u2212 4) + 15 p) 3(5 \u2212 \ud835\udc65\ud835\udc65) \u2212 3(1 \u2212 2\ud835\udc65\ud835\udc65) = 42 q) (4\ud835\udc65\ud835\udc65 + 6) \u2212 2\ud835\udc65\ud835\udc65 = (\ud835\udc65\ud835\udc65 \u2212 6) + 10 + 14 r) (\ud835\udc65\ud835\udc65 \u2212 3) \u2212 (\ud835\udc65\ud835\udc65 + 2) + 2(\ud835\udc65\ud835\udc65 \u2212 1) \u2212 5 = 0 s) 3\ud835\udc65\ud835\udc65 \u2212 2(4\ud835\udc65\ud835\udc65 \u2212 3) = 2 \u2212 3(\ud835\udc65\ud835\udc65 \u2212 1) t) 3(\ud835\udc65\ud835\udc65 \u2212 1) \u2212 (\ud835\udc65\ud835\udc65 \u2212 3) + 5(\ud835\udc65\ud835\udc65 \u2212 2) = 18 u) 5(\ud835\udc65\ud835\udc65 \u2212 3) \u2212 4(\ud835\udc65\ud835\udc65 + 2) = 2 + 3(1 \u2212 2\ud835\udc65\ud835\udc65) Respostas: o) \ud835\udc65\ud835\udc65 = \u22122 p) \ud835\udc65\ud835\udc65 = 2 q) \ud835\udc65\ud835\udc65 = \u22126 r) \ud835\udc65\ud835\udc65 = 253 s) \ud835\udc65\ud835\udc65 = 5 t) \ud835\udc65\ud835\udc65 = 187 u) \ud835\udc65\ud835\udc65 = 73 14) Resolva as equações: a) 3\ud835\udc65\ud835\udc65 \u2212 7 = 2\ud835\udc65\ud835\udc65 + 5 b) 7\ud835\udc65\ud835\udc65 + 8 = 4\ud835\udc65\ud835\udc65 \u2212 10 c) 4\ud835\udc65\ud835\udc65 \u2212 15 = \u22122\ud835\udc65\ud835\udc65 + 3 d) 2\ud835\udc65\ud835\udc65 \u2212 4 \u2212 8 = 4\ud835\udc65\ud835\udc65 e) 3\ud835\udc65\ud835\udc65 = \ud835\udc65\ud835\udc65 + 1 + 7 f) 360 + 36\ud835\udc65\ud835\udc65 = 30\ud835\udc65\ud835\udc65 g) 2\ud835\udc65\ud835\udc65 + 5 \u2212 5\ud835\udc65\ud835\udc65 = \u22121 h) 5 + 6\ud835\udc65\ud835\udc65 = 5\ud835\udc65\ud835\udc65 + 2 i) \ud835\udc65\ud835\udc65 + 2\ud835\udc65\ud835\udc65 \u2212 1 \u2212 3 = \ud835\udc65\ud835\udc65 j) \u22123\ud835\udc65\ud835\udc65 + 10 = 2\ud835\udc65\ud835\udc65 + 8 + 1 k) 5\ud835\udc65\ud835\udc65 \u2212 5 + \ud835\udc65\ud835\udc65 = 9 + \ud835\udc65\ud835\udc65 l) 7\ud835\udc65\ud835\udc65 \u2212 4 \u2212 \ud835\udc65\ud835\udc65 = \u22122\ud835\udc65\ud835\udc65 + 8 \u2212 3\ud835\udc65\ud835\udc65 m) \u2013 \ud835\udc65\ud835\udc65 \u2212 5 + 4\ud835\udc65\ud835\udc65 = \u22127\ud835\udc65\ud835\udc65 + 6\ud835\udc65\ud835\udc65 + 15 n) 3\ud835\udc65\ud835\udc65 \u2212 2\ud835\udc65\ud835\udc65 = 3\ud835\udc65\ud835\udc65 + 2 o) 2 \u2212 4\ud835\udc65\ud835\udc65 = 32 \u2212 18\ud835\udc65\ud835\udc65 + 12 p) 2\ud835\udc65\ud835\udc65 \u2212 1 = \u22123 + \ud835\udc65\ud835\udc65 + 4 q) 3\ud835\udc65\ud835\udc65 \u2212 2 \u2212 2\ud835\udc65\ud835\udc65 \u2212 3 = 0 r) 10 \u2212 9\ud835\udc65\ud835\udc65 + 2\ud835\udc65\ud835\udc65 = 2 \u2212 3\ud835\udc65\ud835\udc65 s) 4\ud835\udc65\ud835\udc65 \u2212 4 \u2212 5\ud835\udc65\ud835\udc65 = \u22126 + 90 t) 2 \u2212 3\ud835\udc65\ud835\udc65 = \u22122\ud835\udc65\ud835\udc65 + 12 \u2212 3\ud835\udc65\ud835\udc65 Respostas: a) \ud835\udc65\ud835\udc65 = 12 b) \ud835\udc65\ud835\udc65 = \u22126 c) \ud835\udc65\ud835\udc65 = 3 d) \ud835\udc65\ud835\udc65 = \u22126 e) \ud835\udc65\ud835\udc65 = 4 f) \ud835\udc65\ud835\udc65 = \u221260 g) \ud835\udc65\ud835\udc65 = 2 h) \ud835\udc65\ud835\udc65 = \u22123 i) \ud835\udc65\ud835\udc65 = 2 j) \ud835\udc65\ud835\udc65 = 12 k) \ud835\udc65\ud835\udc65 = 145 l) \ud835\udc65\ud835\udc65 = 1211 m) \ud835\udc65\ud835\udc65 = 5 n) \ud835\udc65\ud835\udc65 = \u22121 o) \ud835\udc65\ud835\udc65 = 3 p) \ud835\udc65\ud835\udc65 = 2 q) \ud835\udc65\ud835\udc65 = 5 r) \ud835\udc65\ud835\udc65 = 2 s) \ud835\udc65\ud835\udc65 = \u221288 t) \ud835\udc65\ud835\udc65 = 5 15) Resolva as equações: a) 7(\ud835\udc65\ud835\udc65 \u2212 5) = 3(\ud835\udc65\ud835\udc65 + 1) b) 3(\ud835\udc65\ud835\udc65 \u2212 2) = 4(\u2212\ud835\udc65\ud835\udc65 + 3) c) 2(\ud835\udc65\ud835\udc65 + 1) \u2212 (\ud835\udc65\ud835\udc65 \u2212 1) = 0 d) 5(\ud835\udc65\ud835\udc65 + 1) \u2212 3(\ud835\udc65\ud835\udc65 + 2) = 0 e) 13 + 4(2\ud835\udc65\ud835\udc65 \u2212 1) = 5(\ud835\udc65\ud835\udc65 + 2) f) 4(\ud835\udc65\ud835\udc65 + 5) + 3(\ud835\udc65\ud835\udc65 + 5) = 21 g) 2(\ud835\udc65\ud835\udc65 + 5) \u2212 3(5 \u2212 \ud835\udc65\ud835\udc65) = 10 h) 8(\ud835\udc65\ud835\udc65 \u2212 1) = 8 \u2212 4(2\ud835\udc65\ud835\udc65 \u2212 3) Respostas: a) \ud835\udc65\ud835\udc65 = 192 b) \ud835\udc65\ud835\udc65 = 187 c) \ud835\udc65\ud835\udc65 = \u22123 d) \ud835\udc65\ud835\udc65 = 12 e) \ud835\udc65\ud835\udc65 = 13 f) \ud835\udc65\ud835\udc65 = \u22122 g) \ud835\udc65\ud835\udc65 = 3 h) \ud835\udc65\ud835\udc65 = 74 o) \ud835\udc65\ud835\udc65 = 35 p) \ud835\udc65\ud835\udc65 = 10 q) \ud835\udc65\ud835\udc65 = 12 r) \ud835\udc65\ud835\udc65 = 6 s) \ud835\udc65\ud835\udc65 = 12 t) \ud835\udc65\ud835\udc65 = 4 u) \ud835\udc65\ud835\udc65 = 4 h) \ud835\udc65\ud835\udc65 = 292 i) \ud835\udc65\ud835\udc65 = \u221238 j) \ud835\udc65\ud835\udc65 = 212 k) \ud835\udc65\ud835\udc65 = 3 l) \ud835\udc65\ud835\udc65 = \u221225 m) \ud835\udc65\ud835\udc65 = \u22125 n) \ud835\udc65\ud835\udc65 = \u22122 16) Resolva as seguintes equações: a) \ud835\udc65\ud835\udc654 \u2212 \ud835\udc65\ud835\udc656 = 3 b) 3\ud835\udc65\ud835\udc654 \u2212 \ud835\udc65\ud835\udc653 = 5 c) \ud835\udc65\ud835\udc655 \u2212 1 = 9 d) \ud835\udc65\ud835\udc653 \u2212 5 = 0 e) \ud835\udc65\ud835\udc652 + 3\ud835\udc65\ud835\udc655 = 6 f) \ud835\udc65\ud835\udc655 + \ud835\udc65\ud835\udc652 = 710 g) 5\ud835\udc65\ud835\udc65 \u2212 10 = \ud835\udc65\ud835\udc65+12 h) 8\ud835\udc65\ud835\udc65\u221212 \u2212 2\ud835\udc65\ud835\udc65 = 3 i) 2\ud835\udc65\ud835\udc65\u221275 = \ud835\udc65\ud835\udc65+23 j) 5\ud835\udc65\ud835\udc652 = 2\ud835\udc65\ud835\udc65 + \ud835\udc65\ud835\udc65\u221223 k) \ud835\udc65\ud835\udc65\u221234 \u2212 2\ud835\udc65\ud835\udc65\u221215 = 5 l) \ud835\udc65\ud835\udc65\u221212 + \ud835\udc65\ud835\udc65\u221233 = 6 m) 5\ud835\udc65\ud835\udc65\u221272 = 12 + \ud835\udc65\ud835\udc65 n) 2\ud835\udc65\ud835\udc65\u221213 = \ud835\udc65\ud835\udc65 \u2212 \ud835\udc65\ud835\udc65\u221215 o) \ud835\udc65\ud835\udc654 + 3\ud835\udc65\ud835\udc65\u221222 = \ud835\udc65\ud835\udc65\u221232 p) 2(\ud835\udc65\ud835\udc65\u22121)3 = 3\ud835\udc65\ud835\udc65+65 q) 3(\ud835\udc65\ud835\udc65\u22125)6 + 2\ud835\udc65\ud835\udc654 = 7 r) \ud835\udc65\ud835\udc655 \u2212 2 = 5(\ud835\udc65\ud835\udc65\u22123)4 Respostas: a) \ud835\udc65\ud835\udc65 = 36 b) \ud835\udc65\ud835\udc65 = 12 c) \ud835\udc65\ud835\udc65 = 50 d) \ud835\udc65\ud835\udc65 = 15 e) \ud835\udc65\ud835\udc65 = 60 f) \ud835\udc65\ud835\udc65 = 1 g) \ud835\udc65\ud835\udc65 = 219 h) \ud835\udc65\ud835\udc65 = 74 i) \ud835\udc65\ud835\udc65 = 31 j) \ud835\udc65\ud835\udc65 = \u22124 k) \ud835\udc65\ud835\udc65 = \u221237 l) \ud835\udc65\ud835\udc65 = 9 m) \ud835\udc65\ud835\udc65 = 83 n) \ud835\udc65\ud835\udc65 = \u22124 o) \ud835\udc65\ud835\udc65 = \u2212 25 p) \ud835\udc65\ud835\udc65 = 28 q) \ud835\udc65\ud835\udc65 = 576 r) \ud835\udc65\ud835\udc65 = 3521 17) Resolva as seguintes equações: a) \ud835\udc65\ud835\udc652 \u2212 \ud835\udc65\ud835\udc654 = 12 b) \ud835\udc65\ud835\udc652 \u2212 \ud835\udc65\ud835\udc654 = 5 c) \ud835\udc65\ud835\udc655 + \ud835\udc65\ud835\udc652 = 710 d) \ud835\udc65\ud835\udc655 + 1 = 2\ud835\udc65\ud835\udc653 e) \ud835\udc65\ud835\udc652 + \ud835\udc65\ud835\udc653 = 1 f) \ud835\udc65\ud835\udc653 + 4 = 2\ud835\udc65\ud835\udc65 g) \ud835\udc65\ud835\udc652 + 4 = 13 h) 5\ud835\udc65\ud835\udc653 \u2212 25 = 0 i) \ud835\udc65\ud835\udc65 \u2212 1 = 5 \u2212 \ud835\udc65\ud835\udc654 j) \ud835\udc65\ud835\udc65 + \ud835\udc65\ud835\udc652 = 15 k) 8\ud835\udc65\ud835\udc653 = 2\ud835\udc65\ud835\udc65 \u2212 9 l) \ud835\udc65\ud835\udc652 + 34 = 16 m) \ud835\udc65\ud835\udc652 \u2212 7 = \ud835\udc65\ud835\udc654 + 5 n) 2\ud835\udc65\ud835\udc65 \u2212 12 = 5\ud835\udc65\ud835\udc65 + 13 o) \ud835\udc65\ud835\udc65 \u2212 1 = 5 \u2212 \ud835\udc65\ud835\udc654 p) \ud835\udc65\ud835\udc656 + \ud835\udc65\ud835\udc653 = 18 \u2212 \ud835\udc65\ud835\udc654 q) \ud835\udc65\ud835\udc654 + \ud835\udc65\ud835\udc656 + \ud835\udc65\ud835\udc658 = 26 r) \ud835\udc65\ud835\udc658 + \ud835\udc65\ud835\udc655 = 17 \u2212 \ud835\udc65\ud835\udc6510 s) \ud835\udc65\ud835\udc654 \u2212 \ud835\udc65\ud835\udc653 = 2\ud835\udc65\ud835\udc65 \u2212 50 t) 5\ud835\udc65\ud835\udc652 + 7 = 2\ud835\udc65\ud835\udc65 + 4 u) \ud835\udc65\ud835\udc652 + \ud835\udc65\ud835\udc653 = \ud835\udc65\ud835\udc65+73 v) \ud835\udc65\ud835\udc65+26 + \ud835\udc65\ud835\udc65+14 = 6 w) \ud835\udc65\ud835\udc65\u221223 \u2212 \ud835\udc65\ud835\udc65+14 = 4 x) \ud835\udc65\ud835\udc65\u221212 + \ud835\udc65\ud835\udc65\u221223 = \ud835\udc65\ud835\udc65\u221234 y) 2\ud835\udc65\ud835\udc65\u221234 \u2212 13 = \u2212\ud835\udc65\ud835\udc65+22 z) 2\ud835\udc65\ud835\udc65\u221234 \u2212 2\u2212\ud835\udc65\ud835\udc653 = \ud835\udc65\ud835\udc65\u221213 aa) 3\ud835\udc65\ud835\udc65\u221224 = 3\ud835\udc65\ud835\udc65+38 bb) 3\ud835\udc65\ud835\udc65+54 \u2212 2\ud835\udc65\ud835\udc65\u221233 = 3 cc) \ud835\udc65\ud835\udc65 + 2(\ud835\udc65\ud835\udc65\u22122)3 = 5\ud835\udc65\ud835\udc654 dd) 2\ud835\udc65\ud835\udc65+14 \u2212 3(3\u2212\ud835\udc65\ud835\udc65)2 = 56+\ud835\udc65\ud835\udc6516 Respostas: a) \ud835\udc65\ud835\udc65 = 2 b) \ud835\udc65\ud835\udc65 = 20 c) \ud835\udc65\ud835\udc65 = 1 d) \ud835\udc65\ud835\udc65 = 1513 e) \ud835\udc65\ud835\udc65 = 65 f) \ud835\udc65\ud835\udc65 = 125 g) \ud835\udc65\ud835\udc65 = \u2212 223 h) \ud835\udc65\ud835\udc65 = 625 i) \ud835\udc65\ud835\udc65 = 245 j) \ud835\udc65\ud835\udc65 = 10 k) \ud835\udc65\ud835\udc65 = \u2212 272 l) \ud835\udc65\ud835\udc65 = \u2212 76 m) \ud835\udc65\ud835\udc65 = 48 n) \ud835\udc65\ud835\udc65 = \u2212 5 18 o) \ud835\udc65\ud835\udc65 = 24 5 p) \ud835\udc65\ud835\udc65 = 24 q) \ud835\udc65\ud835\udc65 = 28 r) \ud835\udc65\ud835\udc65 = 40 s) \ud835\udc65\ud835\udc65 = 24 t) \ud835\udc65\ud835\udc65 = \u22126 u) \ud835\udc65\ufffd\ufffd\ufffd\ufffd = 14 3 v) \ud835\udc65\ud835\udc65 = 83 w) \ud835\udc65\ud835\udc65 = 59 x) \ud835\udc65\ud835\udc65 = 5 7 y) \ud835\udc65\ud835\udc65 = 25 12 z) \ud835\udc65\ud835\udc65 = 13 6 aa) \ud835\udc65\ud835\udc65 = 7 3 bb) \ud835\udc65\ud835\udc65 = 9 cc) \ud835\udc65\ud835\udc65 = 16 5 dd) \ud835\udc65\ud835\udc65 = 124 31 CRÉDITOS Apostila: Fundamentos da Matemática Autores: Profa. Renata Rivas UNINOVE Prof. Flor: www.educadormatematico.wordpress.com