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

2(3x-5)=6x–4

What is no solution?

100

The number of solutions for the system:

y = 2x + 7
y = 2x + 5

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

x+x/3=4

What is x=3?

200

The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?

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

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

What is $30?

300

(x-3)(x+4)=x2+4

What is x=16?

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

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.

What is 400 advanced tickets, 200 game-day tickets?

400

|2x–3|=5

What is x=4 and x=-1?

400

The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)

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

Solve for y:

2x2+2y=4x+2x2–7

What is y=2x–7/2?

500

The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?

500

The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)

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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