(EXIT TICKET) Standard Form Word Problems

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Front

How do you represent a word problem as a linear equation?

Back

Identify the variables, determine the relationships between them, and express the relationships in the form of a linear equation.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate one variable on one side of the equation.

Front

In the context of word problems, what does 'x' typically represent?

Back

In word problems, 'x' typically represents the quantity of one type of item or variable being solved for.

Front

What does the slope of a linear equation represent in a real-world context?

Back

The slope represents the rate of change between the two variables in the context of the problem.

Front

How can you check if your solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero, representing the starting point of the relationship.

Front

How do you convert a word problem into a system of equations?

Back

Identify multiple relationships or constraints in the problem and express each as a separate equation.

Front

What is the meaning of 'solving for y' in a linear equation?

Back

Solving for y means expressing y in terms of x, typically in the form y = mx + b.