One Step Equations
What we use to solve any equation
Inverse Operations
The order we use to solve two step equations
reverse PEMDAS
19 − 4c = 17
c = 1/2
m − 4 = 2m
m = -4
Solve for y: 5y − x = 10
y = 2 + 1/5x
x - 3 = 14
x = 17
x/4 + 3 = 8
x= 20
2 = −9n + 22 − n
n = 2
3x + 15 = 3(x + 5)
All real numbers
Solve for y: 6 = 4x + 9y
y = 2/3 − 4/9x
-3.5 = m + 2.7
m = -6.2
-1 = 5+x / 6
x = -11
6(5 − 8v) + 12 = −54
v = 2
2(4z − 1) = 3(z + 2)
z = 1.6
Solve for V: B = 3V — h
V = Bh/3
-1/8m = -6
m = 48
2(n+5) = -2
n = -6
− 1/4 (x + 2) + 5 = −x
x = 6
5.5 − x = −4.5 − x
no solution
The formula d = rt relates distance d to rate r and time t. Find how long it takes an airplane to fly 375 miles at 500 miles per hour.
45 minutes
A stock has a return of −$1.26 per day. Find the number of days until the total return is −$10.08.
8 days
A taxi charges $2.50 plus $2 for every mile traveled. Find the number of miles traveled for a fare of $10.50.
4 miles
You have scored 70, 100, 80, and 90 on four quizzes. What score do you need to get on your fifth quiz to have an average of an 85.
Fifth quiz needs to be an 85.
A rectangle has a length of 5 and a width of (x-5). A triangle has a height of 8 and a base of (x+3). If both of the areas of the shapes are the same, find x.
x= 37
The formula for the area of a rhombus with diagonals of lengths c and d is A =1/2cd. The area of a rhombus is 35 square feet. The length of one of the diagonals is 10 feet. What is the length of the other diagonal?
7 ft