NC Math 1 EOC Review Packet #1

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To solve for x, first isolate x on one side of the inequality. Subtract 2x from both sides: 3 > 2x - 3. Then add 3 to both sides: 6 > 2x. Finally, divide by 2: 3 > x or x < 3.

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Using the distributive property (FOIL), we get: 5x * 3x + 5x * (-1) + 2 * 3x + 2 * (-1) = 15x^2 - 5x + 6x - 2 = 15x^2 + x - 2.

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Substituting -3 into the function: f(-3) = -2(-3)^2 + 5(-3) + 4 = -2(9) - 15 + 4 = -18 - 15 + 4 = -29.

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First, add 7x to both sides: 5 = 5x + 15. Then, subtract 15 from both sides: -10 = 5x. Finally, divide by 5: x = -2.

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Definition: Linear Equation

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Definition: Quadratic Function

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Definition: Inequality

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other, using symbols like >, <, ≥, or ≤.

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Definition: Distributive Property

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Definition: Exponent Rules

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