Unit 5 Flashcard Practice:Exponential Equat.,Inequalities,& intercept

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent. For example, 2^x = 8.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other. For example, x > 5.

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 does it mean for a point to be a solution to an inequality?

Back

A point is a solution to an inequality if it satisfies the inequality when substituted into it.

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 graph an inequality?

Back

To graph an inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

What is the solution to the equation 7^(3x+2) = 7^(x-8)?

Back

The solution is x = -5.

Front

How do you determine if a coordinate is a solution to a linear equation?

Back

Substitute the x and y values of the coordinate into the equation. If the equation holds true, it is a solution.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.