MATH.

Problems

100

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

200

x=44-0.1x

x+0.1x=44-0.1x+0.1x

1.1x=44

1.1x/1.1=44/1.1

x=40

300

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

400

8+1/2(x-8)=1/3(6-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

500

[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

More Problems

100

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

200

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

300

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

400

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

500

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

More More Problems

100

x=4

3x-2=y+4

12-2=Y+4

10-4=Y+4-4

6=Y

200

X=6

5y=6(x-3)

5y=36-18

5y/5=18/5

y=3.6

300

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

400

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

500

x=2

70+x=27(1/3y+1/9)

(ROUND TO THE NEAREST TENTH)

72-3=9y+3-3

69/9=9y/9

y=7.7

More More More Problems

100

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

200

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

300

x=6

[2x-9]/y=6

[12-9]/y=6

3/y=6

y=0.5

400

x=5

[30(x+4)]/9=y

Round to the nearest tenth

150+4/9=y

154/9=y

y=17.1

500

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

No More Problems

100

2-3x>8-x

2-3x+x>8-x+x

2-2x>8

2-2x-2>8-2

-2x>6

x<-3

200

6(3x+4)<22+8(2x+1)

18x+24-24<22+16x+8-24

18x-16x<6+16x-16x

2x<6

x<3

300

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

400

24-3x<x-4

24-3x+4<x-4+4

28-3x+3x<x+3x

28<4x

7<x

500

40+10x<28-8x

40+10x-40<28-8x-40

10x+8x<-12-8x+8x

18x<-12

x<2/3