Algebra 1 Semester 1 Review

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

What does the slope represent in a linear function?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

How can you identify a linear function from a set of data points?

Back

A linear function will show a constant rate of change between the x and y values, resulting in a straight line when graphed.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you determine if a function is linear or exponential?

Back

If the rate of change is constant, it is linear; if the rate of change increases or decreases multiplicatively, it is exponential.

Front

What does the term 'function' mean in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the significance of the slope in the candle height function H(t)=-0.25t+6?

Back

The slope of -0.25 indicates that the height of the candle decreases by 0.25 inches for each hour that passes.

Front

What does it mean if a function is quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically represented as y = ax^2 + bx + c, and its graph is a parabola.

Front

What is the solution to the equation x + 2 = 1?

Back

The solution is x = -1.