STAAR Review Equations & Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables and constants, such as x + 2 = 5.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other, such as x < 5.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

What is the solution to the inequality x - 4 > 2?

Back

x > 6.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form y = mx + b.

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you graph an inequality?

Back

To graph an inequality, first graph the corresponding equation as a line, then use a dashed line for < or > and a solid line for ≤ or ≥. Shade the appropriate region.