Algebra I Final 2024 Review

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

How do you graph the inequality y < -x + 3?

Back

1. Start by graphing the line y = -x + 3 (dashed line). 2. Shade below the line to represent y < -x + 3.

Front

What does the inequality y > x - 1 represent graphically?

Back

It represents the area above the line y = x - 1 (dashed line).

Front

How do you write a linear inequality in standard form?

Back

A linear inequality in standard form is written as Ax + By ≤ C or Ax + By ≥ C, where A, B, and C are constants.

Front

What is the standard form of the inequality for the Math Pentathalon team's goal?

Back

x + 2y ≥ 240, where x is the number of hot chocolate glasses sold and y is the number of apple cider glasses sold.

Front

What is the solution to the system of equations 3x + y = -14 and -2x - y = 9?

Back

The solution is (-5, 1).

Front

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

Back

Use the formula: Area = Length × Width. Rearrange to find Width = Area / Length.

Front

What is the area of a rectangle if it is given as 8x^2 + 6x - 9 and the length is 2x + 3?

Back

The width is 4x - 3, found by dividing the area by the length.

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

How do you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run) between two points.