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AlgebraLAND

Lauren Goughnour

Created on October 8, 2025

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Transcript

Algebra 1

AlgebraLAND

Equations and Their Solutions and Graphs

start

AlgebraLAND

Awards achieved:

Throw the clown!

Answer correctly and make the clown fall into the water three times to win your reward

Start

1/3

The equation M = 250 + 132.5T represents the relationship between the quantities in this situation, where M is the mass, in grams, of the filled box and T the number of shirts in the box. Which ordered pair (T, M) is a solution to the equation?

(10, 1575)

(25, 3337)

(6, 1040)

1/3

Great!

Next

2/3

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels and the amount of money in dollars is represented by the equation 0.10d + 0.05n = 22.25. Which values of (d, n) are solutions to the equation?

(0, 440)

(172, 100)

(118, 209)

2/3

Great!

Next

3/3

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 each. What combinations of necklaces and bracelets could the artist sell for exactly $12.00?

4 necklaces and 2 bracelets

3 necklaces and 3 bracelets

3 necklaces and 5 bracelets

3/3

Great!

Prize!

Try again!

You have won your first stuffed animal

Next challenge!

GENIALLYLAND

Awards achieved:

Are you sure?

You will need to redo theprevious tests to return to where you are now

Stay

Exit

MIRROR MAZE

Which image is the real one?Choose wisely and reach your prize!

Start

1/3

The equation C = f + 6.50n models the total cost a company charges to print shirts. C is the total cost of printing n shirts. The company charges an additional fee, depending on different factors. If the total cost of printing 21 shirts is $201.50, what was the additional fee charged by the company?

$65

$70

$95

2/3

The equation M = 250 + 132.5T represents the relationship between the quanities in this situation, where M is the mass, in grams, of the filled box and T the number of shirts in the box. If the box has a mass of 1310 grams, how many T-shirts are in the box?

12

3/3

Tyler spends $45 on T-shirts and socks. A T-shirt costs $10, and a pair of socks costs $2.50. If t represents the number of T-shirts and p represents the number of pairs of socks Tyler buys, the equation 10t + 2.50p = 45 models the scenario. If Tyler buys 3 T-shirts, how many pairs of socks did he buy?

10

You have won your second stuffed animal

Next challenge!

Try again and give it another go

GENIALLYLAND

Awards achieved:

HORSE RACE

00:03

Start

Answer correctly before time runs out and make your horse reach the finish line first

1/3

Which ordered pair is a solution to the graphed equation?

YOU

(3, 1)

(0, 6)

(2, 0)

Try again!

1/3

Oops, incorrect

Try again!

2/3

Which ordered pair is a solution to the graphed equation?

YOU

(-2, 1)

(0, -2)

(-2, 0)

Try again!

2/3

Oops, it's not correct

Try again!

3/3

Which ordered pair is a solution to the graphed equation?

YOU

(20, 80)

(10, 200)

(70, 180)

Try again!

3/3

Oops, it's not correct

Try again!

You've won your third stuffed animal

Next challenge!

GENIALLYLAND

Awards received:

THE HOUSEOF TERROR

Move the light halo tofind the correct answer.Try to get out without getting scared!

Enter

1/3

A theater is selling tickets to a play. Adult tickets cost $8 each and children’s tickets cost $5 each. They collect $275 after selling x adult tickets and y children’s tickets. Which statement correctly places the solution (30, 7) in context?

They sold 30 children's tickets and 7 adult tickets.

They sold 7 total tickets to collect $30.

They sold 30 adult tickets and 7 children's tickets.

Drag the halo of light!

2/3

A 450-gallon tank full of water is draining at a rate of 20 gallons per minute. The equation y = 450 - 20x models the relationship between the gallons of water in the tank, y, and the minutes the tank has been draining, x. What does the ordered pair (22.5, 0) represent?

There is 450 gallons of water at 22.5 minutes.

There is 22.5 gallons of water at 0 minutes.

The tank is empty at 22.5 minutes.

3/3

The equation 2x + 0.50y = 120 representsthe pounds of beans (x) and pounds of rice (y) you can purchase for $120. What does the solution (10, 200) represent?

You can buy 10 pounds of beans and 200 pounds of rice for $120.

You can buy 10 pounds of rice and 200 pounds of beans for $120.

You can buy 10 pounds of rice and beans for $200.

You have won your fourth stuffed animal

Congratulations!

Try again!

CONGRATULATIONS!

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