Alg. 2 1st Sem. Rev. Ch. 3 2020

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What is a system of equations?

Back

A system of equations is a set of two or more equations that have the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean for a solution to a system of equations?

Back

A solution to a system of equations is a set of values for the variables that makes all the equations true.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

The elimination method is a technique for solving systems of equations by eliminating one variable at a time.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a linear inequality?

Back

A linear inequality is an inequality that involves a linear function, typically expressed in the form ax + by <, >, ≤, or ≥ c.

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How do you graph a linear inequality?

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To graph a linear inequality, first graph the corresponding linear equation as a boundary line, then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What is the feasible region in linear programming?

Back

The feasible region is the set of all possible points that satisfy the constraints of a linear programming problem.

Tags

CCSS.HSA.REI.D.12

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What is an objective function in linear programming?

Back

An objective function is a mathematical expression that defines the goal of the optimization problem, typically to maximize or minimize a value.

Tags

CCSS.HSF.IF.A.2

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How do you find the maximum value of an objective function?

Back

To find the maximum value of an objective function, evaluate the function at the vertices of the feasible region.

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What does it mean for a point to be a vertex of the feasible region?

Back

A vertex of the feasible region is a corner point where two or more constraints intersect.

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What is the solution to the system: x + y + z = 4, x = -2y, z = -3y?

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The solution is (2, -1, 3).