SAT Prep (6 December 2024)

Front

What is an increasing linear function?

Back

An increasing linear function is a function where the output value increases as the input value increases, represented by a straight line with a positive slope.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use substitution or elimination methods to find the values of the variables that satisfy all equations in the system.

Front

If a film club starts with 90 members and gains 10 new members each day, how do you calculate the total number of members after a certain number of days?

Back

Total members = initial members + (number of days * new members per day). For 4 days: 90 + (4 * 10) = 130.

Front

What does the inequality 0.6 ≤ s ≤ 1.8 represent in the context of snowfall rates?

Back

This inequality indicates that the rate of snowfall, s, is between 0.6 inches per hour and 1.8 inches per hour, inclusive.

Front

What is the solution to a system of linear and nonlinear equations?

Back

The solution is the point (x, y) where the graphs of the linear and nonlinear equations intersect.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). A positive slope indicates an increasing line.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if the output values fall as the input values increase.

Front

What is the difference between a linear function and an exponential function?

Back

A linear function has a constant rate of change, while an exponential function grows or decays at a rate proportional to its current value.