Name______________________________________
Practice: Equations with variables on both sides
SOL: A.4
Solve:
1.
k + 1 = 3k – 1
2.
19 – 3p = -17p – 11
3.
7(r + 7) = 5r + 59
4.
w+3=w+6
5.
40 + 14j = 2(-4j – 13)
6.
12 + 5v = 2v – 9
7.
5(n 2)
8.
12y + 6 = 6(2y + 1)
9.
10 – 4(p + 7) = 2(1 – p)
10.
2(11 + 3n) = 17n
11.
5(1 + 4m) = 2(3 + 10m)
12.
3x – 4 = 2x + 8 – 5x
13.
-15c + 7c + 1 = 3 -8c
14.
3
2
15.
n 10
3
(5 10n)
5
3
a
4
1
1
a
4
2
5
1
n 7
n
6
3
16.
6.2h + 5 – 1.4h = 4.8h + 5
17.
19.
A square and a triangle have equal
perimeters. Find x.
x
x–5
11x = 8x – 3(5 – 2x)
20.
18. 2(3g 2)
1
(12 g 8)
2
Find x if the perimeter = 44.
x
12
21.
Omega just got her pilot’s license and wants to rent a plane. The Platinum Plane Company charges
$180 plus $92 per hour to rent a plane. The Plastic Plane Company charges $250 and $78 per hour.
For what number of hours would the companies charge the same amount?
22.
The temperature in Coldspot is -7˚F and increasing at 2.5˚ per hour. The temperature in Frostberg
is 19˚F and decreasing 4˚ per hour. How long will it be until the temperatures are the same?
23.
The membership fee for joining a camping association is $45. A local campground charges members of
the camping association $35 per night for a campsite and nonmembers $40 per night for a campsite.
After how many nights of camping is the total cost for members the same as non-members?