Algebra: Concepts and Connections EOC Review 2

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

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How do you represent a budget constraint in inequalities?

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A budget constraint can be represented as an inequality where the total cost must be less than or equal to the budget. For example, if T-shirts cost $16 each (x) and $10 each (y), the inequality is: 16x + 10y ≤ budget.

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What does the vertex form of a quadratic equation look like?

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How do you convert a quadratic equation to vertex form?

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What is the quadratic formula?

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What is the significance of the discriminant in a quadratic equation?

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What is a profit in a business context?

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Profit is the financial gain obtained when the revenue from sales exceeds the costs of production and expenses. It can be calculated as: Profit = Total Sales - Total Expenses.

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How do you graph a system of inequalities?

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To graph a system of inequalities, first graph each inequality as if it were an equation. Then, shade the region that satisfies each inequality. The solution is where the shaded regions overlap.

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What is the formula for the perimeter of a rectangle?

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How do you find the length of a side in a right triangle using the Pythagorean theorem?

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