EDGE Math 8

Choose your answer to each question.

1.	Which of the following ordered pairs is not a solution to the equation $2 x - 3 y = 6 ?$

(3, 0)

(0, - 2)

(\frac{1}{2}, - \frac{5}{3})

(- 3, - 4)

(\frac{1}{4}, \frac{- 1}{6})

Answer: $(\frac{1}{4}, \frac{- 1}{6})$

2.	Which of the following statements is true about the ordered pair $(- 1.5, 1.4)$ and the following system of linear equations?

{\begin{array}{l} 4 x - 5 y = - 13 \\ 3 x + 4 y = - 10.1 \end{array}

The given ordered pair satisfies the system of linear equations.

The given ordered pair satisfies only the first linear equation in the system.

The given ordered pair satisfies only the second linear equation in the system.

None of the options

Answer: The given ordered pair satisfies only the first linear equation in the system.

3.	Which is the correct classification of the following system of linear equations?

${\begin{cases} x - y = 1 \\ x + y = 1 \end{cases}$

inconsistent

consistent and dependent

consistent and independent

Answer: consistent and independent

4.	Which is the correct classification of the following system of linear equations?

${\begin{cases} x - y = 10 \\ x - y = 9 \end{cases}$

inconsistent

consistent and dependent

consistent and independent

Answer: inconsistent

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