System of Equations Review

Which of the following graphs displays a consistent and dependent system?

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Which of the following graphs displays a consistent and independent system?

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Which of the following graphs displays an inconsistent and independent system?

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• (2.4, 4.2)

• (4.2, 2.4)

• (4.2, 4.2)

• (2.4, 2.4)

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4,-2)

• (12,-34)

• (4,-18)

• (-2,-6)

Solve by elimination.

6x - y = 2

-3x - 6y = 12

• (2,0)

• no solution

• (0, -2)

• {x|6x - y =2}

When solving a system of equations leads to an equation such as 0 = 4, how many solutions does the system have?

• infinite solutions

• no solution

• one solution

• two solutions

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6

• x + y = 4
  x - y = 6

• 4x + 6y = 13
  3x + 7y = 13.5

• 4x - 6y = 13
  3x - 7y = 13.5

A chemist has a solution that is 20% acid and another solution that is 50% acid. How many liters of each solution should be mixed together to obtain 10 liters of a solution that is 30% acid? Write a system of equations and solve.

• 5 liters of the 20% acid solution and 5 liters of the 50% acid solution

• 4 liters of the 20% acid solution and 6 liters of the 50% acid solution

• 8 liters of the 20% acid solution and 2 liters of the 50% acid solution

• 2 liters of the 20% acid solution and 8 liters of the 50% acid solution

John invested $5000 in two different accounts. One account earns 5% interest and the other earns 8% interest. If the total interest earned after one year is $360, how much did John invest in each account? Write a system of equations and solve.

• John invested $2000 in the account earning 5% interest and $3000 in the account earning 8% interest.

• John invested $1000 in the account earning 5% interest and $4000 in the account earning 8% interest.

• John invested $3000 in the account earning 5% interest and $2000 in the account earning 8% interest.

• John invested $4000 in the account earning 5% interest and $1000 in the account earning 8% interest.