Algebra 1 EOC review 1

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other. Examples include: x > 5, y ≤ 3.

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How do you add polynomials?

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To add polynomials, combine like terms. For example, (x³ - 2x² + 3) + (2x³ + 3x² - 1) = (1x³ + 2x³) + (-2x² + 3x²) + (3 - 1) = 3x³ + x² + 2.

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How do you subtract polynomials?

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To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x² - 3x + 2) - (x² - 2x + 1) = (3x² - x²) + (-3x + 2x) + (2 - 1) = 2x² - x + 1.

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What does it mean to find the solution of an equation?

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What are like terms in polynomials?

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Like terms are terms that have the same variable raised to the same power. For example, in the polynomial 3x² + 4x - 2x², the like terms are 3x² and -2x².

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x³ + 2x² - x + 5, the degree is 3.

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What is a solution set?

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A solution set is the set of all possible solutions to an equation or inequality. For example, the solution set for the equation x² = 4 is {2, -2}.

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How do you graph an inequality on a number line?

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To graph an inequality on a number line, use an open circle for < or > (not including the endpoint) and a closed circle for ≤ or ≥ (including the endpoint). Shade the region that satisfies the inequality.

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What is the difference between a linear equation and a polynomial?

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A linear equation is a polynomial of degree 1, which means it has the form ax + b = 0. A polynomial can have degrees greater than 1, such as x² or x³.