Algebra I Final 2024 Review

Front

What is the area of a rectangle formula?

Back

The area of a rectangle is calculated using the formula: Area = Length × Width.

Front

How do you find the width of a rectangle if the area and length are known?

Back

To find the width, rearrange the area formula: Width = Area ÷ Length.

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a boundary line. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the region that satisfies the inequality.

Front

What does it mean for a system of inequalities to be solved by graphing?

Back

It means finding the region on a graph where all inequalities in the system are satisfied simultaneously.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert a word problem into a linear inequality?

Back

Identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it in the form of an inequality.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables (positive slope means increasing, negative slope means decreasing).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How do you solve a system of equations?

Back

You can solve a system of equations using substitution, elimination, or graphing methods to find the point(s) where the equations intersect.