1
EXERCÍCIO 1 Resolva a equação 5x-12=3.
5x-12=3 5x-12+12=3+12
5x=15
5x/5=15/5
x=3
5x-12=3 5x-12+12=3+12
5x=17
5x/5=14/9
x=8
2
EXERCÍCIO 2 Resolva a equação 3x+1=x-3.
3x+1=x-3
3x+1-1=x-3-1
3x=x-4
3x-x=x-4-x
2x=-4
2x/2=-4/2
x=-2
3x+1=x-3
3x+1-1=x-3-1
3x=x-4
5x-x=x-6-x
6x=-4
5x/2=-7/2
x=-5
3
EXERCÍCIO 3 Encontre o valor de t na equação 5t+5=3t+7.
5t+5=3t+7
5t+5-5=3t+7-5
5t=3t+2
5t-3t=3t+2-3t
2t=2
2t\2 2/2
t=1
5t+5=3t+7
5t+5-5=3t+7-5
5t=3t+2
5t-3t=3t+2+3t
2t=2
2t\2 2/2
t=2
4
EXERCÍCIO 4 Resolva a equação 3(2x+1)=-9.
3(2x+1)=-9
6x+3=-9
6x+3=-9
6x+3-3=-9-3
6x=-12
6x/6=-12/6
x=-2
3(2x+1)=-9
6x+3=+9
6x-3=+9
6x-3-3=-9+3
6x=-12
6x/6=-12/6
x=2
5
EXERCÍCIO 5 Resolva a equação 2(2x-5)=3(x-1)-4.
2(2x-5)=3(x-1)-4
4x-10=3x-3-4
4x-10=3x-7
4x-10+10=3x-7+10
4x=3x+3
4x-3x=3-3x
x=3
-----------
x=3
2(2x-5)=3(x-1)-4
4x+10=3x+3-4
4x-10=3x+7
4x+10+10=3x7+10
4x=3x+3
4x-3x=3-3x
x=3
-----------
x=3
6
EXERCÍCIO 6 Encontre o valor de z na equação 3(z-2)+10=2(2z+2)+2.
3(z-2)+10=2(2z+2)+2
3z+6-10=4z-4-2
3z+4=4z-6
3z-4+4=4z-6+4
3z=4z+2
3z+4z=2
-z=2
-z/-1=2/-1
---------------
z=-8
3(z-2)+10=2(2z+2)+2
3z-6+10=4z+4+2
3z+4=4z+6
3z+4-4=4z+6-4
3z=4z+2
3z-4z=2
-z=2
-z/-1=2/-1
z=-2
7
EXERCÍCIO 7 Resolva a equação 2x+1/3=x-1
2x+1/3=x-1
2x+1=3x-3
2x+1=3x-3
2x+1-1=3x-3-1
2x=3x-4
2x-3x=3x-4-3x
-x=-4
-x/-1=-4/-1
--------
x=4
2x-1/3=x-1
2x-1=3x+3
2x+1=3x-3
2x+1-1=3x-3-1
2x=3x-4
2x-3x=3x-4-3x
-x=-4
-x/-1=+4/+1
--------
x=-4
8
EXERCÍCIO 8 Encontre o valor de t na equação 3t+4(t-10)=t+20.
3t+4(t-10)=t+20.
3t-4t-40=t-20
7t-40=t+20
7t-40=t+20
7t-40+40=t+20+40
7t=t+60
7t-t=t-0-t
6t=60
6t/6=60/6
-------------
t=10
3t+4(t-10)=t+20.
3t+4t-40=t+20
7t-40=t+20
7t-40=t+20
7t-40+40=t+20+40
7t=t+60
7t-t=t+60-t
6t=60
6t/6=60/6
-------------
t=10
9
EXERCÍCIO 9 Resolva a equação 3x+6(x+1)=3(x+1)+5
3x+6(x+1)=3(x+1)+5
3x+6x+6=3x-3-5
9x+6=3x+8
9x+6=3x+8
9x+6-6=3x+8-6
9x=3x+2
9x-3x=3x+2-3x
6x=2
6x/6=2/6
------------
x=1/3
3x+6(x+1)=3(x+1)+5
3x+6x+6=3x+3+5
9x+6=3x+8
9x+6=3x+8
9x+6-6=3x+8-6
9x=3x+2
9x-3x=3x+2-3x
6x=2
6x/6=2/6
------------
x=1/3
10
EXERCÍCIO 10 Encontre o valor de y na equação 2y+3(2y-5)+4=y+3(2y-2)-6.
2y+3(2y-5)+4=y+3(2y-2)-6
2y+6y-15+4=y+6y-6-6
8y-11=7y-12
8y-11=7y-12
8y-11+11=7y-12-11
8y=7y+1
8y-7y=7y-1-7y
y=-1
-------------
y=1
2y+3(2y-5)+4=y+3(2y-2)-6
2y+6y-15+4=y+6y-6-6
8y-11=7y-12
8y-11=7y-12
8y-11+11=7y-12+11
8y=7y-1
8y-7y=7y-1-7y
y=-1
-------------
y=-1
