Multistep Equations

Variables on Both Sides

100

6x+3=x+28

x = 5

200

8-2c=2c

c = 2

300

3k-15=-k+1

k = 4

400

14+3a=-2a-1

a = -3

500

9x+6=6x-9

x = -5

Variables on Both Sides with Distribution

100

-6(3-6r)=-18+4r

r = 0

200

2(a-2)=3(a-5)

a = 11

300

3(d+2)=5(d-6)

d = 18

400

16(z+3)=4(z+9)

z = -1

500

7(x+2)=2(x+2)

x = -2

Variables on Both Sides with Fractions

100

7/10n +3/2 =3/5n +2

5

200

1/3x +10 =3/5x

5/2

300

3/4n - 18 =1/4n - 4

28

400

6+ 4/5b =9/10b

60

500

2/11m + 16 = 4 +6/11m

33

Variables on Both Sides with Distribution and Like Terms

100

16-2n=-8+4(n-3)

n = 6

200

12y+5(y-6)=4

y = 2

300

5-1(8v+5)=-4(1+3v)

v = -1

400

-6x+7(1-x)=-4(x-4)

x = -1

500

3(a-6)=-5a-7-3a

a = 1

Word Problems

100

Xavier has $100 in his lunch account. He spends $6 for lunch each day. Zack has $160 in his lunch account. He spends $10 each day. After how many days will they have the same amount of money in their accounts?

15 

200

A DJ charges a flat fee of $120 plus $25 an hour. A second DJ charges $45 an hour. After how many hours is the charge for the two DJ's the same?

6

300

At Silver Gym membership is $25 per month and personal training sessions are $30 each. At Fit Factor membership is $65 a month and personal training sessions are $20 each. After how many personal training sessions would the cost be the same?

4