This is the term that does NOT contain a variable
What is the constant (ex. 4x + 3, 3 is the constant)
SOLVE: x + 7 = 2x + 3
x = 4
Equations that have the exact same solutions are called ___________.
Equivalent equations
SOLVE: 5x + 2 = 4x + 8
x = 6
What is substitution?
Write 2 equations that are equivalent. Show that they are equivalent.
Answers vary.
What does the slope of a linear equation tell us about the function?
It tells us the rate of change.
What is a model?
A mathematical or statistical representation of a problem from science, technology, engineering, work, or everyday life, used to solve problems and make decisions.
SOLVE:
2(3x-5)=20
x= 5
Write an equivalent equation that reflects the slope and vertical intercept for 5x+4y=20.
y=-5/4x+5
What is a constraint?
A limitation on the possible values of variables in a model, often expressed by an equation or inequality or by specifying that the value must be an integer.
For example, distance above the ground, d, in meters, might be considered to be non-negative, expressed by d > 0.
SOLVE to the nearest whole number:
(-3(4x+5)-7)/14=12
x=-16
What is the slope of the linear equation 8x+7y=34?
-8/7