Write an inequality for each problem and solve. See ample 8...

Write an inequality for each problem and solve. See ample 8
Melinda's first two test grades in Psychology were 87 and $94 .$ What does she need to make on the third test to maintain an average of at least $90 ?$

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Key Concepts

Inequalities

Inequalities are mathematical expressions that compare two values or expressions using symbols such as >, <, ?, or ?. They are used to represent conditions where one quantity must be greater than, less than, or equal to another, which is crucial when determining minimum or maximum values needed in a scenario.

Linear Inequalities

Linear inequalities involve expressions where the variable is to the first power, and they can be solved using similar methods to linear equations, with attention paid to the direction of the inequality when performing operations. They are essential for modeling and solving problems that require finding a range of acceptable values.

Averages

The average, or arithmetic mean, is calculated by summing a set of numbers and then dividing by the count of those numbers. In problems where a minimum average is required, setting up an equation or inequality based on the average formula is key to determining unknown values needed to meet this criterion.

Algebraic Translation

Algebraic translation is the process of converting a word problem into an algebraic expression or inequality. This involves identifying the unknown values, assigning variables, and setting up relationships that mirror the conditions described in the problem, which is crucial for solving real-world applications.

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