Both sides!?
Solve
−3 + 5a = 4a − 10
−3 + 5a = 4a − 10
- 4a -4a
-3 + a = -10
+3 +3
a= -7
Solve
9x - 7 = -7
9x - 7 = -7
+ 7 + 7
9x = 0
9 9
x= 0
A delivery service charges a base fee of $12 plus $0.50 for each package delivered. If the total cost for delivering a certain number of packages is $35, determine how many packages were delivered.
35= 0.50x + 12
-12 - 12
23 = 0.50x
0.50 0.50
x = 46 packages
Solve
3 (2x − 3) = 3
3 (2x − 3) = 3
6x - 9 = 3
+9 +9
6x = 12
6 6
x = 2
Solve
−16 + 3n = −8 − 5n
−16 + 3n = −8 − 5n
+ 5n + 5n
-16 + 8n = -8
+16 + 16
8n = 8
8 8
n = 1
Solve
−9x + 1 = −80
−9x + 1 = −80
- 1 -1
-9x = - 81
- 9 -9
x = 9
A taxi service charges a fixed fee of $4 plus $2.50 for each mile traveled. If the total cost for a taxi ride is $76, determine the number of miles traveled.
76 = 2.50x + 4
-4 -4
72 = 2.50x
2.50 2.50
x = 28.8 miles
Solve
144 = −12(x + 5)
144 = −12(x + 5)
144 = -12x - 60
+ 60 + 60
204 = -12x
-12 -12
x = -17
Solve
6(r − 8) = 8r − 36
6(r − 8) = 8r − 36
6r - 48 = 8r - 36
-6r -6r
-48 = 2r - 36
+36 + 36
-12 = 2r
2 2
r = - 6
Solve
5-4x + 3 = -30
5- 4x + 3 = -30
-4x + 8 = -30
- 8 - 8
-4x = -38
-4 -4
x = 9.5
Juan’s cell phone company charges $13 a month for phone service plus $4.50 for each text message. How many text messages does Juan send in a month if his bill was $125?
125 = 4.50x + 13
-13 -13
112 = 4.50x
4.50 4.50
x = 24.8 texts = 24 texts
Solve
2 (3x + 1) = 8
2 (3x + 1) = 8
6x + 2 = 8
-2 -2
6x = 6
6 6
x = 1
Solve
30 + 4v = 7(4v − 6)
30 + 8v = 7(4v − 6)
30 + 4v = 28v - 42
-4v -4v
30 = 24v - 42
+42 + 42
72 = 24v
24 24
v = 3
solve
(n + 5) = - 1
-16
(-16)* (n + 5) = - 1 * (-16)
-16
n + 5 = 16
- 5 - 5
n= 11
Caroline’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?
26.95 = 1.50x + 8.95
-8.95 -8.95
18 = 1.50x
1.50 1.50
x= 12 refills
Solve
17 = 3(x-5) +8
17 = 3(x-5) +8
17 = 3x - 15 + 8
17 = 3x -7
+7 +7
24 = 3x
3 3
x = 8
If 3k+7=8k-3, which of the following statements is false?
a.) 3k = 8k + 4
b.) 5k = 10
c.) 3k + 11 = 8k +1
d.) 4k + 7 = 9k-3
**Show your work to get the points! **
3k + 7= 8k -3
7 = 5k - 3
10 = 5k
k = 2 **So, which answer does not have these step or what k equals?**
a.) 3k = 8k + 4
Solve
r + 9 + 12 = 17
3
r + 9 + 12 = 17
3 - 12 -12
(3)* r + 9 = 5 * (3)
3
r + 9 = 15
- 9 - 9
r = 6
You and 3 friends are going to the County Fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular price ticket to the fair cost?
100 = 4x - 20
+20 +20
120 = 4x
4 4
x = $30
Solve
4(x - 2) - 2x = 40
4(x - 2) - 2x = 40
4x - 8 - 2x = 40
2x -8 = 40
+8 +8
2x = 48
2 2
x= 24