Station 6: Equations and 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.

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.

Front

What does |x| represent?

Back

|x| represents the absolute value of x, which is the distance of x from 0 on the number line, regardless of direction.

Front

How do you solve a simple equation like 2x + 3 = 7?

Back

To solve, subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to find x = 2.

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 it mean for a number to have a greater absolute value?

Back

A number has a greater absolute value if its distance from zero on the number line is larger than that of another number.

Front

How do you graph an inequality like y > 2?

Back

Graph the line y = 2 as a dashed line and shade the area above the line to represent all points where y is greater than 2.

Front

What is the solution set of the inequality x < 3?

Back

The solution set includes all real numbers less than 3.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation or expression.

Front

How do you interpret the equation y = 250x in a real-world context?

Back

This equation shows that for every hour (x), 250 containers (y) are produced, indicating a constant production rate.