5/27/22 - Algebra I Regents Review Flashcard

Front

What are the x-intercepts of a graph?

Back

The x-intercepts are the points where the graph crosses the x-axis, meaning the value of y is 0.

Front

How do you determine the number of solutions a graph has?

Back

The number of solutions corresponds to the number of times the graph intersects the x-axis.

Front

What is a linear equation?

Back

A linear equation is an equation that graphs to a straight line, typically in the form y = mx + b.

Front

What is the inequality for a height requirement of greater than 42 inches and no more than 57 inches?

Back

Front

What does the equation y = 0.5(2)^x represent?

Back

This equation represents exponential growth.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when a quantity increases over time, while exponential decay occurs when a quantity decreases over time.

Front

What is a quadratic equation?

Back

A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean for a system of equations to have no solution?

Back

A system of equations has no solution if the lines represented by the equations are parallel and never intersect.