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

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

Algebraic expression – an expression that contains at least one variable, operation, and constant y + 10x -18 + 6xy 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

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:

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: