Translating Equations
Three less than the product of a number and 5 is 27
5x - 3 = 27
A _____ is an unknown amount/quantity or value.
A variable is an unknown amount/quantity or value.
-7m = 63
-7m = 63
m = -9
3m - 1 = m + 5
m = 3
The quotient of a number and eight, plus two is equal to seven
x/8 + 2 = 7
___ ___ have the same variable or no variable
like terms have the same variable or no variable
n/-7 = -8
n = 56
-5 - 3x = 2x + 10
x = -3
Four more than the product of twelve and a number is twenty-eight
12x + 4 = 28
What is the inverse of subtraction?
Addition
-2k - 4 = 8
k = -6
4n - 40 = 7(-2n+2)
n = 3
The total of a number and seven doubled is twenty two
2(x + 7) = 22
What is a coefficient?
The number attached to a variable
h/-3 + 6 = -4
h = 30
38 + 7k = 8(k+4)
k = 6
The difference between a number and six, divided by ten is three
(x - 6)/10 = 3
What is the inverse of division?
Multiplication
h - 9/5 = -10
h = -8 1/5
OR h = -41/5
5(z + 4) - 13 = 2z + 19
z = 4