Systems of Equations

Linear Equations

100

4x+8=20

What is x=3?

200

5(x−2)=15

What is x=5?

300

(x/3) + 4 = 9

What is x=15?

400

2(3x+1)−5=x+12

What is x=3?

500

(2x-3)/4=5/2

What is 13/2 or 6.5?

Factoring Quadratics

100

x²+7x+12=0

What is x=-3, -4?

200

x²−9=0

What is x=-3,3?

300

2x²+7x+3=0

What is x=-1/2, -3?

400

3x²−11x−4=0

What is x=-1/3, 4?

500

4x²−25=0

What is x=5/2,-5/2?

2x2 Systems

100

x+y=8

x−y=2

What is (5,3)?

200

2x+y=7

x+y=5

What is (2,3)?

300

BONUS WORTH 500pts!

A rectangle has a perimeter of 30 inches. Its length is 3 inches longer than twice its width. Find the dimensions. 

What is 11inches by 4 inches?

400

3x+y=10

x−y=−2

What is (2,4)? 

500

A campus coffee shop sold 48 drinks during the morning rush. Small drinks cost $3 each and large drinks cost $5 each. The total revenue from those drinks was $192.

How many small drinks and how many large drinks were sold?

What is 24 small drinks and 24 large drinks?

3x3 Systems

100

x+y+z=9

x+y=5

x-y=1

What is (3,2,4)?

200

x+y+z=18

z+y=10

y-z=4

What is (8,7,3)?

300

2x+y−z=2

x−2y+z=5

x+y+z=11 

What is (3,2,6)?

400

At a school carnival, three types of tickets were sold: regular tickets, student tickets, and VIP tickets.

• A total of 30 tickets were sold.
• The number of VIP tickets sold was 2 more than the number of student tickets.
• If you double the number of regular tickets, subtract the number of student tickets, and then add the number of VIP tickets, the result is 26.
• How many of each type of ticket were sold?

What is 12 regular tickets, 8 student tickets, and 10 VIP tickets?

500

At a college bookstore, notebooks, pens, and calculators were sold during a promotion.

• In total, 45 items were sold.
• The number of notebooks sold was 3 more than the number of calculators.
• Notebooks cost $4, pens cost $2, and calculators cost $10.
• The total sales amounted to $196

How many notebooks, pens, and calculators were sold?

What are 13 notebooks,22 pens, and 10 calculators?

Miscellaneous

100

Why was the equal sign so humble?

Because it knew it wasn't less than or greater than anyone else!

200

Why did the algebra student break up with the calculator?

Because there were too many problems!

300

What was Joan’s major in university? 

What is Psychology?

400

What is Isabella’s last name?

What is Hinojosa? 

500

I have no value alone, but when placed beside a number I can completely change an equation. What am I?

What is a variable, (or x)?