1. Parts of an Expression
MGSE9–12.A.SSE.1a Interpret parts of an expression, such as terms, factors, and
coefficients, in context

2. 10x-18 =22 Equation Expression Coefficient Constant Variable Terms

4. Algebraic expression – an expression that contains at least one variable, operation, and constant
y + 10x xy
Factors:
are numbers and/or variables being multiplied together
Variable:
a letter that represents an unknown quantity (number)
Coefficient:
a number multiplied or divided by a variable
Constant:
a number that does not change

5. Noah pulled the stopper out of a full bathtub
Noah pulled the stopper out of a full bathtub. The amount of water in gallons remaining in the tub each minute can be modeled by the expression 22-9m. Interpret the parts of this expression
Constant the amount of water in the tub prior to the stopper being pulled
Coefficient; amount of water in the sink draining
Variable; time passing in minutes
Term; rate of change the water is decreasing.
-9 gallons per minute
22:
-9: m:
-9m:

6. Eli is riding his bike at a constant speed from home to school
Eli is riding his bike at a constant speed from home to school. His distance to school in miles x hours after leaving home can be modeled by the expression 3-12x. Interpret the parts of this expression
Constant The initial distance in miles from Eli’s house to school when he starts biking
Coefficient; Eli’s constant speed.
Variable; time passing in hours
Term; rate of change. How fast he is going in his bike. Since the distance is in miles and his time is in hours then the unit is milers per hour.
-12 miles per hour 3:
-12: x:
-12x: