Algebra 1 Semester 2 Final REVIEW

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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How do you solve a system of equations using substitution?

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1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

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What does it mean for a system of equations to have no solution?

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A system has no solution if the equations represent parallel lines that never intersect.

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The solution is (7, 0).

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What is a quadratic function?

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How do you find the roots of a quadratic equation?

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What does it mean for a function to have infinitely many solutions?

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It means that there are an infinite number of points that satisfy the equation, often represented by overlapping lines.

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It represents a range of values for n that satisfy the inequality, which can be solved to find the solution set.

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It indicates that n can take any value less than or equal to 0.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or equal to the other.