Linear Equations
Solve 2x + 4 = 10
x = 3
Solve for w: A = lw
w = A / l
Solve for t: d = rt
t = d / r
What is a linear equation?
An equation in which the variable has a power of 1.
Solve: 5x - 9 = 16
x = 5
Solve for P: P = 2l + 2w (Get the hint after 10 seconds)
It is Already solved for P
Solve for h: A = 1/2bh
h = 2A / b
Define literal equation.
An equation with two or more variables.
Solve: 3x + 10 = 25
x = 5
Solve for x: ax + b = c
x = (c - b) / a
Solve for r: d = rt
r = d/t
What is a formula?
An equation showing a relationship between quantities.
Solve: 7x - 5 = 2x + 10
x = 3
Solve for l: P = 2l + 2w
l = (P - 2w) / 2
Solve for A: A = 1/2bh (Get the hint at 10 seconds)
It is already solved
What does it mean to isolate the variable?
To get the variable alone on one side of the equation.
Solve: 4(2x - 1) = 3x + 5 (Answer in decimal form)
x = 1.8
Solve for x: x / a + b = c
x = a(c - b)
Solve for w: V = lwh
w = V / lh
Why do we check solutions?
To make sure the value makes both sides of the equation equal.