Algebra 1 STAAR Review 2024

Front

What is the definition of slope in a linear function?

Back

The slope of a linear function is a measure of the steepness of the line, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. The solution is the point(s) where the graphs of the equations intersect.

Front

How do you solve a system of linear equations using substitution?

Back

To solve using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you model population growth using an exponential function?

Back

Population growth can be modeled using the formula P(t) = P0 * (1 + r)^t, where P0 is the initial population, r is the growth rate, and t is time.

Front

What is the formula for calculating the value of an investment after a certain number of years with a fixed percentage decrease?

Back

The value after t years can be calculated using V(t) = V0 * (1 - r)^t, where V0 is the initial value, r is the rate of decrease, and t is time.

Front

What does it mean for a graph to have a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line that the graph approaches as x approaches positive or negative infinity, indicating the value that the function approaches.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept often represents the initial value or starting point of a situation being modeled, such as the initial population or cost.