Algebra 2 Unit 1 Review- SAVVAS

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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 set of values that satisfy all equations in the system.

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How do you solve a system of linear equations using substitution?

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To solve a system using substitution, solve one equation for one variable, then substitute that expression into the other equation to find the value of the second variable.

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What is the graphical representation of a system of equations?

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The graphical representation of a system of equations is the point(s) where the graphs of the equations intersect, which represents the solution(s) to the system.

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What is an arithmetic sequence?

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An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

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How do you find the nth term of an arithmetic sequence?

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The nth term of an arithmetic sequence can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

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What is the formula for the sum of the first n terms of an arithmetic series?

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The sum of the first n terms of an arithmetic series is given by S_n = n/2 * (a_1 + a_n), where a_1 is the first term and a_n is the nth term.

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What does it mean for a function to be reflected across the y-axis?

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A function is reflected across the y-axis if for every point (x, y) on the graph, the point (-x, y) is also on the graph.

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How do you determine the equation of a transformed quadratic function?

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To determine the equation of a transformed quadratic function, identify the transformations applied (e.g., shifts, reflections) and apply them to the standard form of the quadratic equation.

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What is the common difference in an arithmetic sequence?

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The common difference in an arithmetic sequence is the constant amount that each term increases or decreases by from the previous term.

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How do you solve a system of equations using elimination?

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To solve a system using elimination, manipulate the equations to eliminate one variable, allowing you to solve for the other variable.