One-Step Equations
4 = -8 + x
x= 12
6x – 13 = 11
x= 4
How many solutions? If one; solve.
2x + 4 = 2x - 4
No Solutions
Solving Equations
4x + 3 = 7
x = 1
92 added to a number j is 104
j + 92 = 104
j=12
3 = -2 – x
x= -5
2x + 10 = -8
x= -9
How many solutions? If one; solve.
2x + 4 = 2x + 4
Infinite many solutions
Solving Equations
-108 = -8(x + 6) - 4
x = 7
A number n multiplied by 3 is 18
3n = 18
n=6
x + 12 = 0
x= -12
3x + 5 = 14
x= 3
How many solutions? If one; solve.
-2x + 4 = 2x - 4
-2x + 4 = 2x - 4
4 = 4x - 4
8 = 4x
2 = x One Solution
Solving Equations
4(6 + 5x) = 124
x = 5
r less than 64 is 12
64 - r = 12
r=52
5.5x = -159.5
x= -29
2x-4=10
x= 7
Solving Equations
5(m-3) = 4
m = 19/5
Solving Equations
172 = 5(4a + 6) + 2
a=7
three-fifths of a number plus 15 is 30
3/5x + 15 = 30
3/5x = 15
(5/3) 3/5x = 15 (5/3)
x= 75/3 or 25
10 = 2/3x
x= 30/2 = 15
3x + 12 = -3
x= -5
Solving Equations
3(𝑥 − 9) = −1.5
x = 8.5
Solving Equations
-93 = 7(-3k - 8) + 5
k = 2
Costco charges $60 to sign up and $12 per month to be a member and shop at it's store. Sam's Club charges $44 to sign up and $16 per month to shop. After how many months would the cost be the same to be a member at either store?
12m + 60 = 16m + 44
60 = 4m + 44
16 = 4m
4= m The membership cost would be the same after 4 months.