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10
Soluciones a las actividades de cada epígrafe
PÁGINA 197
Pág. 1
1 Resuelve las ecuaciones siguientes:
a) x + 1 = 6
b) x + 8 = 3
c) 7 = x + 3
d) 5 = 11 + x
e) x + 1 = –2
f ) x + 5 = –2
g) 5 + x = 7
h) 4 + x = 4
i) 8 + x = 1
a) x + 1 = 6 8 x = 6 – 1 8 x = 5
b) x + 8 = 3 8 x = 3 – 8 8 x = –5
c) 7 = x + 3 8 7 – 3 = x 8 x = 4
d) 5 = 11 + x 8 5 – 11 = x 8 x = – 6
e) x + 1 = –2 8 x = –2 – 1 8 x = –3
f ) x + 5 = –2 8 x = –2 – 5 8 x = –7
g) 5 + x = 7 8 x = 7 – 5 8 x = 2
h) 4 + x = 4 8 x = 4 – 4 8 x = 0
i) 8 + x = 1 8 x = 1 – 8 8 x = –7
2 Resuelve estas ecuaciones:
a) x – 2 = 4
b) x – 6 = 7
c) 2 = x – 2
d) 5 = x – 1
e) x – 4 = –1
f ) x – 5 = –3
g) – 4 = x – 2
h) –8 = x – 1
i) 4 – x = 1
j) 5 – x = 6
k) 8 = 13 – x
l) 15 = 6 – x
a) x – 2 = 4 8 x = 4 + 2 8 x = 6
b) x – 6 = 7 8 x = 7 + 6 8 x = 13
c) 2 = x – 2 8 2 + 2 = x 8 x = 4
d) 5 = x – 1 8 5 + 1 = x 8 x = 6
e) x – 4 = –1 8 x = –1 + 4 8 x = 3
f ) x – 5 = –3 8 x = –3 + 5 8 x = 2
g) – 4 = x – 2 8 – 4 + 2 = x 8 x = –2
h) –8 = x – 1 8 –8 + 1 = x 8 x = –7
i) 4 – x = 1 8 4 – 1 = x 8 x = 3
j) 5 – x = 6 8 5 – 6 = x 8 x = –1
k) 8 = 13 – x 8 x = 13 – 8 8 x = 5
l) 15 = 6 – x 8 x = 6 – 15 8 x = –9
3 Resuelve:
a) 4x = 12
b) 4x = 20
c) –2x = 10
d) –15 = 5x
e) 5x = 3
f ) 4 = 6x
g) x + 2x = 9
h) 4x + 5x = 18
i) 21 = 5x + 2x
a) 4x = 12 8 x = 12 8 x = 3
b) 4x = 20 8 x = 20 8 x = 5
4
4
d) –15 = 5x 8 – 15 = x 8 x = –3
c) –2x = 10 8 x = 10 8 x = –5
–2
5
f ) 4 = 6x 8 4 = x 8 x = 2
e) 5x = 3 8 x = 3
5
6
3
g) x + 2x = 9 8 3x = 9 8 x = 9 8 x = 3
3
h) 4x + 5x = 18 8 9x = 18 8 x = 18 8 x = 2
9
i) 21 = 5x + 2x 8 21 = 7x 8 21 = x 8 x = 3
7
Unidad 10. Álgebra
10
Soluciones a las actividades de cada epígrafe
4 Resuelve las ecuaciones siguientes:
Pág. 2
a) 5x – 4x = 9
b) 7x – 2x = 15
c) x – 2x = 7
d) 2x – 6x = 12
e) 2x – 5x = –3
f ) 4x – 6x = –8
g) 6x – 4x = 1
h) 11x – 5x = 2
i) 2x – 7x = 4
a) 5x – 4x = 9 8 x = 9
b) 7x – 2x = 15 8 5x = 15 8 x = 15 8 x = 3
5
c) x – 2x = 7 8 –x = 7 8 x = –7
d) 2x – 6x = 12 8 – 4x = 12 8 x = 12 8 x = –3
–4
e) 2x – 5x = –3 8 –3x = –3 8 x = 3 8 x = 1
–3
f ) 4x – 6x = –8 8 –2x = –8 8 x = –8 8 x = 4
–2
g) 6x – 4x = 1 8 2x = 1 8 x = 1
2
h) 11x – 5x = 2 8 6x = 2 8 x = 2 8 x = 1
6
3
i) 2x – 7x = 4 8 –5x = 4 8 x = – 4
5
5 Halla x en cada caso:
a) 4x = 3x + 5
b) 5x = 7x – 4
c) 2x = 7x – 5
d) 3x = 9x + 12
e) 8x = 5x + 2
f ) 3x = 9x – 5
g) 4 – 2x = 3x
h) 2 + 6x = 9x
i) 5 – 6x = – x
a) 4x = 3x + 5 8 4x – 3x = 5 8 x = 5
b) 5x = 7x – 4 8 4 = 7x – 5x 8 4 = 2x 8 x = 2
c) 2x = 7x – 5 8 5 = 7x – 2x 8 5 = 5x 8 x = 1
d) 3x = 9x + 12 8 –12 = 9x – 3x 8 –12 = 6x 8 –12 = x 8 x = –2
6
e) 8x = 5x + 2 8 8x – 5x = 2 8 3x = 2 8 x = 2
3
f ) 3x = 9x – 5 8 5 = 9x – 3x 8 5 = 6x 8 x = 5
6
g) 4 – 2x = 3x 8 4 = 3x + 2x 8 4 = 5x 8 x = 4
5
h) 2 + 6x = 9x 8 2 = 9x – 6x 8 2 = 3x 8 x = 2
3
i) 5 – 6x = – x 8 5 = –x + 6x 8 5 = 5x 8 x = 1
Unidad 10. Álgebra
10
Soluciones a las actividades de cada epígrafe
6 Resuelve las ecuaciones siguientes:
Pág. 3
a) 8x – 5x = x + 8
b) 3x + 6 = 2x + 13
c) 5x – 7 = 2 – 4x
d) 3x + x + 4 = 2x + 10
e) 4x + 7 – x = 5 + 2x
f ) 8 – x = 3x + 2x + 5
a) 8x – 5x = x + 8 8 8x – 5x – x = 8 8 2x = 8 8 x = 4
b) 3x + 6 = 2x + 13 8 3x – 2x = 13 – 6 8 x = 7
c) 5x – 7 = 2 – 4x 8 5x + 4x = 2 + 7 8 9x = 9 8 x = 1
d) 3x + x + 4 = 2x + 10 8 3x + x – 2x = 10 – 4 8 2x = 6 8 x = 3
e) 4x + 7 – x = 5 + 2x 8 4x – x – 2x = 5 – 7 8 x = –2
f ) 8 – x = 3x + 2x + 5 8 8 – 5 = 3x + 2x + x 8 3 = 6x 8 3 = x 8 x = 1
6
2
7 Resuelto en el libro del alumno.
8 Resuelve las ecuaciones siguientes:
a) 7 – (1 – 3x) = 12
b) (3x – 2) – (2x + 3) = 0
c) (2x – 1) – (x – 7) = 2
d) 5 · (x – 1) – 3 · (x – 2) = 2
e) 3(2x – 1) – 1 = 5(3x – 2) + 3
a) 7 – (1 – 3x) = 12 8 7 – 1 + 3x = 12 8 3x = 12 – 7 + 1 8 3x = 6 8 x = 2
b) (3x – 2) – (2x + 3) = 0 8 3x – 2 – 2x – 3 = 0 8 x – 5 = 0 8 x = 5
c) (2x – 1) – (x – 7) = 2 8 2x – 1 – x + 7 = 2 8 2x – x = 2 + 1 – 7 8 x = – 4
d) 5 · (x – 1) – 3 · (x – 2) = 2 8 5x – 5 – 3x + 6 = 2 8 5x – 3x = 2 + 5 – 6 8
8 2x = 1 8 x = 1
2
e) 3(2x – 1) – 1 = 5(3x – 2) + 3 8 6x – 3 – 1 = 15x – 10 + 3 8
8 –3 – 1 + 10 – 3 = 15x – 6x 8 3 = 9x 8
8 x= 3 8 x= 1
9
3
9 Resuelve estas ecuaciones:
a) x = 5
3
d) 2x + 3 = 7
5
b) x – 1 = 2
5
e) x + 3x = 5
4 4
c) 5x = 10
2
f ) x + 5x = 9
2 2
a) x = 5 8 x = 5 · 3 8 x = 15
3
b) x – 1 = 2 8 x = 2 + 1 8 x = 3 8 x = 3 · 5 8 x = 15
5
5
5
Unidad 10. Álgebra
10
Soluciones a las actividades de cada epígrafe
c) 5x = 10 8 5x = 10 · 2 8 5x = 20 8 x = 4
2
d) 2x + 3 = 7 8 2x = 7 – 3 8 2x = 4 8 2x = 4 · 5 8 2x = 20 8 x = 10
5
5
5
e) x + 3x = 5 8 4x = 5 8 x = 5
4 4
4
f ) x + 5x = 9 8 6x = 9 8 3x = 9 8 x = 3
2 2
2
Unidad 10. Álgebra
Pág. 4