3x3 Word Problems

3x3 System Word Problems

PAP Algebra 2

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Multiple Select

A piggy bank contains only nickels, dimes and quarters. Given the following information, write a 3x3 system to determine how many of each type of coin are in the bank.n=#nickels, d=#dimes, q=#quarters

• The coins total $4.50.

• There are 32 coins in the bank.

• The number of nickels and dimes together is 8 more than the number of quarters.

Which of the following equations would be a part of the system? (select all that apply)

• n+d+q=4.50

• n+d+q=32

• .05n+.10d+.25q=32

• .05n+.10d+.25q=4.50

• n+d=8+q

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Multiple Select

Write a 3x3 system, to determine three numbers that satisfy the following conditions:

• the sum of the three numbers is 2.

• the sum of the first number, 5 times the second number, and 5 times the third number is -10.

• the sum of the first number, double the second number, and triple the third number is -3.

Let a=#1, b=#2, c=#3 Which of the following equations would be part of the system? (select all that apply)

• a+5b=3c-10

• a+5b+5c=-10

• a+2b+3c=-3

• a+2b=3c-3

• a+b+c=2

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Multiple Choice

Caleb placed $5,500 in three investments that pay an annual interest of 4%, 5% and 7%. He placed twice as much money in the 7% investment as he did in the 4% investment. His total interest for the year is $320. Using a 3x3 system, determine the amount of money Caleb placed in each of the three investments. Let:

a=investment @ 4%, b=investment @ 5%, c=investment @ 7% Which system of equations can be used to solve the problem?

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Poll

How do you feel about setting up and solving 3x3 word problems

• Completely confident

• Confident

• Want some more practice

• Need more practice