Review of Linear Word Problems & Inequalities

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form 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 of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and translation into mathematical expressions.

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.

Front

How do you represent a situation with an inequality?

Back

To represent a situation with an inequality, identify the quantities involved and the relationship between them, then use inequality symbols (>, <, ≥, ≤) to express that relationship.

Front

What is the formula for the perimeter of a rectangle?

Back

The formula for the perimeter (P) of a rectangle is P = 2L + 2W, where L is the length and W is the width.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate side of the circle.

Front

What does it mean for a solution to be 'at least' a certain value?

Back

'At least' means that the value can be equal to or greater than the specified number, often represented by the inequality symbol ≥.