NC Math I EOC Review

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What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Front

How do you represent constraints using inequalities?

Back

Constraints can be represented using inequalities by defining the relationships between variables. For example, if x is a paycheck and y is savings, you can express conditions like y ≥ 0.5x + 20.

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What does the y-intercept of a linear function represent?

Back

The y-intercept of a linear function represents the value of the function when the independent variable (x) is zero. It often indicates the starting value in real-world contexts.

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How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the value of the independent variable into the function's equation and simplify.

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What is the significance of the slope in a linear function?

Back

The slope of a linear function indicates the rate of change of the dependent variable with respect to the independent variable. It shows how much y changes for a unit change in x.

Front

What is the process for solving a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.

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What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change and can be expressed in the form y = mx + b.

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How do you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts. Plot these points and draw a smooth curve through them.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value). A relation can have multiple outputs for a single input.