Modeling with Linear Systems

Question 1

Which system of equations models this problem?

Revolt · Accepted Answer

d = 56td = 60t – 2

Question 2

Which system models this problem?

Revolt · Accepted Answer

x + y < 50

Question 3

Finish solving the system using. What are y and z? y = ⇒ 9 z =

Revolt · Accepted Answer

Part 2: 8

Question 4

The solution can be expressed as .

Revolt · Accepted Answer

(11, 9, 8)

Question 5

The solutions to the system mean:

Revolt · Accepted Answer

The price of a standard ticket is $11. The price of a matinee ticket is $9. The price of a senior ticket is $8.

Question 6

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario.

Revolt · Accepted Answer

t + u = 910t + u = 10u + t – 9

Question 7

The system on the left can be reduced to:t + u = 99t – 9u = –9Solving the system t=, u= ⇒ 5.

Revolt · Accepted Answer

Part 1: 4; 4

Question 8

What is the original number described in the word problem?

Revolt · Accepted Answer

45

Question 9

Listed in order from smallest to largest, the numbers are , , and .

Revolt · Accepted Answer

Part 1: -2

Modeling with Linear Systems Answers

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