24-25 Final Review #11

Front

What is an inequality and how is it used in real-life situations?

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. In real-life situations, inequalities can be used to represent constraints, such as budget limits or resource availability.

Front

Write an inequality to represent the situation: Lauren has $128.75 and each book costs $15.37.

Back

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes.

Front

Identify the system of equations represented by the graph: y = (1/3)x + 6 and y = -3x - 4.

Back

These equations represent two lines that intersect at a point, indicating a solution to the system.

Front

How do you translate a verbal statement into an equation?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, meaning they have no solutions in common.

Front

How do you find the area of a rectangle?

Back

The area of a rectangle is found by multiplying its length by its width. The formula is Area = Length × Width.

Front

If the area of a rectangle is 18 sq. ft. and the width is 3 ft., what is the length?

Back

The length is 6 ft., calculated using the formula: Length = Area / Width = 18 / 3.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.