Systems of Linear Equations

Equal Values Method

100

Solve the following system of equations using the equal values method: y=x+2 and y=2x-1

x=3 and y = 5 or (3, 5)

200

Solve the following system of equations using the equal values method: y=3x+5 and y=4x+8

x = -3 and y = -4 or (-3, -4)

300

Solve the following system of equations using the equal values method: y=11-2x and y=x+2

x = 3 and y = 5 or (3, 5)

400

Solve the following system of equations using the equal values method: y=3-2x and y=1+2x

x = 1/2 and y = 2 or ( 0.5, 2)

500

Solve the following system of linear equations using the equal values method: y=-2/3x+4 and y=1/3x-2

x = 6 and y = 0 or (6, 0)

Let's Have Some Fun

100

If you travel from Florida to Hawaii, how many hours do you have to turn your clock back?

A) 6 B) 8 C) 10

200

In the Star Wars series, episode 1 (The Phantom Menace), what is the name of the 9-year old boy that eventually turns into Darth Vader?

A) Luke B) Anakin C) Kylo D) Spencer

300

According to multiple sources, what is the #1 selling car in America?

A) Honda Civic B) Nissan Altima C) Ford Focus D) Toyota Camry

400

What is the capital of Germany?

A) Berlin B) Hamburg C) Frankfurt D) Munich

500

Which fast-food chain uses the slogan, "Think outside the bun"?

A) Wendy's B) Burger King C) Taco Bell D) Five Guys

Trivia

100

Yoshi, the popular green dinosaur from Mario, actually has a longer name. What is it?

A) Yoshimitzu B) T. Yoshisaur Munchakoopas C) Yoshizar herbivore D) Yosh-salami

200

This U.S. President delivered the longest inaugural address in history. On March 4, 1841, an extremely cold day, this president did not dress accordingly and stood outside for 105 minutes giving his speech. He later contracted pneumonia and died in the White House, only serving as president for a single month.

A) Grover Cleveland B) William Henry Harrison C) James Polk

300

On the periodic table, what is the symbol for silver?

A) Si B) Sv C) Ag

400

Where did New England QB Tom Brady play college football?

A) Univ. of Michigan B) Univ. of Kentucky C) Univ. of Florida

500

What is the theoretical maximum amount of money you can win by playing one single game of Jeopardy? Assuming you hit all of your Double Jeopardy's at the end of each round & win Final Jeopardy, wagering all of your money every single time.

A) $148,400 B) $252,600 C) $292,600 D) $566,400

Real World - Jacksonville

100

Dennis is looking at buying a house and has 2 great offers. House 'A' would require him to pay $20,000 up front and then pay $800/month. House 'B' would require him to pay $30,000 up front and then pay $550/month. (1) After how many months will Dennis have paid the same amount of money for both houses? (2) How much money will he have spent at that point?

(1) x = 40 months (2) $52,000

200

Jon is looking to switch cell phone carriers and decided to take a look at Verizon and Metro PCS. The guy at Verizon offers Jon an iPhone 7 for $549 and a monthly payment plan of $40/month, while the guy at Metro PCS offers the same iPhone 7 for $399 and a monthly payment plan of $60/month. (1) After how many months will Jon have paid the same amount of money for both plans? (2) How much money will he have spent at that point?

(1) x = 7.5 months (2) $849

300

Austin is looking to buy the all new Audi R8 from two separate dealers. The guy from dealer 'A' can hook him up for $800/month, as long as Austin puts down $90,000. The guy from dealer 'B', however, can get Austin in the car for $950/month and an $80,000 down payment. (1) After how many months will Austin have paid the same amount of money for both offers? (2) How much money will he have spent at that point?

(1) x = 66.6 months (2) $143,280

400

Taylor is in the market for home internet service and can't decide on whether to go with Comcast or AT&T. Although Comcast' customer service is absolutely atrocious, they have far more superior internet speeds than AT&T. Her choices are: Comcast internet package: $0 joining fee, $59/month. AT&T internet package: $100 joining fee, $49/month. (1) After how many months will Taylor have paid the same amount of money for both plans? (2) How much money will she have spent at that point?

(1) x = 10 months (2) $599

500

Jace decides she wants to go into business and operate her own movie theatres. For theatre 'A', she decides to charge customers an unbelievably low rate of $3/movie, but in order to get in to the theatre, customers have to pay a one time membership fee of $99. For theatre 'B', she only charges her customers $6/movie ticket & no membership fee. (1) How many movies do her customers have to see before they pay the same amount of money for both theatres? (2) Hypothetically, if you plan on seeing 50 movies, which theatre is the better deal?

(1) x = 33 (2) Theatre A: 50 movies = $249 Theatre B: 50 movies = $300

Short Answer

100

If both equations in a system have the same slope and y intercept, how many solution exist to the equations?

infinite

200

If two linear equations intersect, how many solutions do they have?

one

300

If a system of equations has no solution, what do you know about the graphs of the lines?

1. They're parallel 2. They do not intersect 3. There's no solution (All answers are acceptable)

400

If two linear equations have the same slope, but different y-intercepts, how many solutions do they have?

none

500

The price of admission to Busch Gardens is $50. Each side game that you play cost $5. (1) Write an equation to show how much money you would spend, given the number of games you chose to play in. (2) How much money would you spend if you bought 1 ticket and played 20 side games?

(1) y = $5g + $50 (2) y = $150