EDGE Math 8

1.	Which of the following ordered pairs is not a solution to the equation $3 x - y = 4 ?$

(−2, −2)

(−1, −7)

(0, −4)

(2, 2)

Answer: (−2, −2)

2.	Which of the following is an inconsistent system of linear equations?

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

{\begin{array}{l} x + y = 3 \\ - x - y = - 3 \end{array}

{\begin{array}{l} x + y = 3 \\ x + y = 6 \end{array}

{\begin{array}{l} x - y = 3 \\ x + 2 y = 4 \end{array}

Answer: ${\begin{array}{l} x + y = 3 \\ x + y = 6 \end{array}$

3.	How many solutions does the following system of linear equations have?

{\begin{array}{l} 2 x + y = 1 \\ 4 x + 2 y = 2 \end{array}

1

2

3

infinite

Answer: infinite

4.	What kind of system is described by the graph below?

inconsistent

independent

consistent and dependent

consistent and independent

Answer: inconsistent

5.	How many solutions does a consistent system of two linear equations in two variables have?

two

none

always one

either one or infinite

Answer: either one or infinite