Chapter 3 Part 2 Unit TEST: Quadratic Equations and Complex Numbers Answers

Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?

A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.

Which classification describes the following system of equations?

Mr. Lee asks a student to solve the following system of linear equations.Which ordered pair (p, q) is the solution to the system?

Which system of equations is consistent and dependent?

What is the point of intersection when the system of equations below is graphed on the coordinate plane?

Brandi is downloading music for her MP3 player. Albums cost $10 each, and singles cost $1 each. She wants to purchase at least 5 singles but wants to spend no more than $25 total. If Brandi purchases x albums and y singles, which of the following is a possible combination of albums and singles that Brandi could purchase and stay within her guidelines?

Which graph represents the solution to the system of inequalities?

Which classification describes the following system of equations?

A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus $0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost?

What is the value of y in the solution to the following system of linear equations?

What is one solution of the following system?

What is the value of w in the solution to the following system of linear equations?

The constraints of a problem are listed below. What are the vertices of the feasible region?

A school choir has 36 members. This year, there are three times as many returning members as new members. How many new members are in the choir this year?

Organizers of the town fair make a total of $706 from selling 164 hot dogs and 74 hamburgers at one of their concession stands. At their other concession stand, they make $884 by selling 256 hot dogs and 61 hamburgers. If the prices are the same at both concession stands, what is the price of a hot dog?

The constraints of a problem are listed below. What are the vertices of the feasible region?

Review the graph.

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?