Solving Systems by Graphing
Solving Systems by Elimination
Solving Systems by Substitution
Systems Word Problems
100

The number of solutions for the system:


What is none?

100

The solution to the system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

100

The sum of two numbers is 104. Their difference is 68. What is one of the numbers?

What are 86 and 18?

200

The solution to the system of equations:


What is (1, -3)?

200

The solution to the system:

8x + 5y = 9
2x - 5y = -4

What is (0.5, 1)?

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

200

There are 21 animals on Farmer Cole's farm - all sheep and chickens. If the animals have a total of 56 legs, how many of each type of animal lives on his farm?

What are 7 sheep and 14 chickens?

300

The solution to the system of equations:

y = -3
x = 5

What is (5, -3)

300

The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?

300

The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)

300

Bob climbed down a ladder from his roof, while Roy climbed up another ladder next to Bob's ladder. Each ladder had 30 rungs. Bob went down two rungs every second. Roy went up one rung every second. At some point, Bob and Roy were at the same height. Which rung were they on?

What is the tenth rung?

400

The solution to the system of equations


What is (1, 3)

400

The solution to the system

2x - 4y = 12
-8x + 16y = -48

What is infinitely many solutions?

400

The solution to the system

3x - 2y = 4
y = 2x - 1

What is (-2, -5)?

400

The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width

What is 26x13?

500

The solution to the system of equations:


What is infinitely many solutions?

500

The solution to the system: (look familiar?)

3x - y = 17

-x + y = -7

What is (5, -2)

500

The solution to the system

x + y = 12
x = (1/3)y

What is (3, 9)?

500

The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.

What is $15,000 for the son and $10,000 for the daughter?

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