Problems
4x+7=x+13
4x+7-x=x+13-x
3x+7=13
3x+7-7=13-7
3x=6
3x/3=6/3
x=2
3(x-4) = 2(x-1)
3x-12=2x-2
3x-12-2x=2x-2-2x
x-12=-2
x-12+12=-2+12
x=10
x=4
3x-2=y+4
12-2=Y+4
10-4=Y+4-4
6=Y
x=3
1/6x+3/4y=4
Round to the nearest tenth
0.5+3/4y-0.5=4-0.5
3/4y(4/3)=3.5(4/3)
y=14/3
y=4.6
2-3x>8-x
2-3x+x>8-x+x
2-2x>8
2-2x-2>8-2
-2x>6
x<-3
x=44-0.1x
x+0.1x=44-0.1x+0.1x
1.1x=44
1.1x/1.1=44/1.1
x=40
4x-5=-3(4/2-x)
Consistent, inconsistent, or identity?
4x-5=-6+3x
4x-5+6=-6+6+3x
4x+1-4x=3x-4x
1=-x
x=-1
CONSISTENT
X=6
5y=6(x-3)
5y=36-18
5y/5=18/5
y=3.6
x=2
10(x+3y)=2x+5y
20-4+30y=4-4+5y
16+30y-30y=5y-30y
16/25=-25y/25
0.64*-1=-y*-1
-0.64=y
6(3x+4)<22+8(2x+1)
18x+24-24<22+16x+8-24
18x-16x<6+16x-16x
2x<6
x<3
8x-3=2.2-1.6x
(Round to the nearest tenth)
8x-3+1.6x=2.2-1.6x+1.6x
9.6x-3=2.2
9.6x-3+3=2.2+3
9.6x=5.2
9.6x/9.6=5.2/9.6
x=0.5
0.5(6x-3)=3(1+x)
Consistent, inconsistent, or identity?
3x-1.5=3+3x
3x-1.5+1.5=3+3x+1.5
3x-3x=4.5+3x-3x
0x=4.5
INCONSISTENT
x=6
x+8=3/4(12+y)
6+8-8=8-8+3/4y
6(4/3)=3/4y(4/3)
24/3=y
8=y
x=6
[2x-9]/y=6
[12-9]/y=6
3/y=6
y=0.5
3/2-2/3x>1/6x-1/6
3/2-2/3x>1/6x-1/6
9/6-4/6x+1/6>1/6x-1/6+1/6
10/6-4/6x+4/6x>1/6x+4/6x
10/6>5/6
10>5x
2>x
8+1/2x-4=2-1/3x
8+1/2x-4+4=2-1/3x+4
8+1/2x=6-1/3x
8+1/2x+1/3x=6-1/3x+1/3x
8+5/6x=6
8+5/6x-8=6-8
5/6x=-2
x=-2.4
4(18x-7)+40=3(4+24x)
Consistent, inconsistent, or identity?
72x-28+40=12+72x
72x-28+40=12+72x
72x+12=12+72x
IDENTITY
x=8
20+x=34(y+1/2)
(ROUND TO THE NEAREST TENTH)
28-17=34y+17-17
11/34=34y/34
y=0.3
x=5
[30(x+4)]/9=y
Round to the nearest tenth
150+4/9=y
154/9=y
y=17.1
24-3x<x-4
24-3x+4<x-4+4
28-3x+3x<x+3x
28<4x
7<x
[6(3x+2)]/4=(x+5)/4+21/3
(18x+12)/4=1/2x+2.5+7
4.5x+3-3=1/2x+2.5+7-3
4.5x=1/2x+6.5
4.5x-1/2x=1/2x-1/2x+6.5
4x=6.5
x=1.625
5(18a-6)+36=4(3+22a)
Consistent, inconsistent, or identity?
90a-30+36=12+88a
90a-30+36-88a=12+88a-88a
2a-30+36=12
2a-30+36+30=12+30
2a+36-36=42-36
2a/2=14/2
a=7
CONSISTENT
70+x=27(1/3y+1/9)
(ROUND TO THE NEAREST TENTH)
72-3=9y+3-3
69/9=9y/9
y=7.7
x=1
45x/9+15y/3=10
(9/45)45/9+15y/3=10(9/45)
15y/3=90/45
15y/3=2
15y=6
y=2.5
40+10x<28-8x
40+10x-40<28-8x-40
10x+8x<-12-8x+8x
18x<-12
x<2/3