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100
3k = 36
k = 12
100
-3x + 13 = 7
x = 2
100
2x + 5x
7x
100
4(7x + 1) = -220
One Solution. x = -8
100

Eight less than three times a number is -23. Write the equation and solve for the unknown number. 

3n - 8 = -23

n = -5

200
n - 7 = -13
n = -6
200
-4 + 5x = 11
x = 3
200
-8x + 5 + 7x + 2x
x + 5
200
11x + 12 = 3(4x - 4)
One Solution. x = 24
200

Thirteen is 7 more than the quotient of a number and 5. Write the equation and solve for the unknown number.

13 = n/5 + 7 

n = 30

300
15 = 18 + y
y = -3
300
-1 = 2r - 7
r = 3
300

5w - 3 - w + 2

4w - 1

300
-2 + 6x + 13 = 6(x + 1) + 5
11 = 11. Identity
300

The difference between the product of -7 and a number and 15 is -8. Write the equation and solve for the missing value. 

-7n - 15 = -8

n = -1

400
g/2 = -12
g = -24
400
w/4 + 14 = 28
w = 56
400
-8(x - 3) + 14x - 6x
24
400
-(8 - x) = x + 8
-8 = 8. Null Set
400

Muscle City = $20 a month and $40 sign up fee. Muscle Gainz = $100 sign up fee and $10 a month You have a $300 budget for the membership. Which gym allows you the most amount of months?

Muscle Gainz. 20 months

500
3/5n = -3
n = -5
500
1/2m - 9 = 16
m = 50
500
-2(x + 3) + 2(3x - 1)
4x - 8
500
14 - (2x + 5) = -6 - 2x + 15
9 = 9. Identity
500

A rectangle has a width 5n - 17 and a length of 2n - 8. Solve for the value of n if the perimeter of the rectangle is 48 cm. 

n = 7