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Word Problems
100

Evaluate f(x) = 9x + 3 for f(2)

f(2) = 21

100
The quadrant in which the solution to the following system lies:

y = x + 4
y = 2x + 5

What is II
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 are the numbers?
What are 86 and 18?
200

Write a function rule for the statement:

The output is 5 more than twice the input

y = 2x + 5

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

(Your answer will include a decimal)

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

Do the following ordered pairs represent a function:

(3, 9)

(4, 11)

(4, 13)

No, because 4 has two different outputs

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

Do the following ordered pairs show a function?

(3, 7)

(4, 7)

(5, 9)

Yes, because each input has exactly one output (it's ok if some of the outputs are the same)

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

10x - 2y = -50
x = 2y - 5

What is (-5, 0)

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

Evaluate f(x) = 1 - 8x for f(3)

f(3) = -23

500
The solution to the system of equations:

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

What is no solution?
500

The solution to the system:

3x + 4y = 10
-3x - 4y = 7

No Solution

500
The solution to the system

t + u = 12
t = (1/3)u

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?