Alg. 2 wT 1st Sem. Rev. Ch. 3, 4 2020

Front

What is a system of equations?

Back

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

Front

Write a system of equations for the following problem: A theater sold 300 tickets, with child tickets at $3 and adult tickets at $5, totaling $1100.

Back

C + A = 300 and 3C + 5A = 1100.

Front

What does the inequality y ≥ -2x + 3 represent graphically?

Back

It represents the region above or on the line y = -2x + 3.

Front

What is the objective function in linear programming?

Back

An objective function is a mathematical expression that defines the goal of optimization, such as maximizing or minimizing a quantity.

Front

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

Back

Evaluate the objective function at the vertices of the feasible region defined by the constraints.

Front

What is the solution to the system of equations represented by the point (3, -1)?

Back

The solution (3, -1) satisfies both equations in the system.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What does the inequality y < |x - 1| represent?

Back

It represents the region below the V-shaped graph of y = |x - 1|.

Front

What is a feasible region in linear programming?

Back

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

Front

How do you interpret the solution of a system of equations graphically?

Back

The solution is the point where the graphs of the equations intersect.