MATH 8 - Week 7

Which of the following pair of equations could NOT be considered a system of

linear equation in two variables?

• 7𝑥 − 𝑦 = 8

  2𝑥 + 4𝑦 = 8

• −𝑥 + 6𝑦 = 2

  7𝑥 = 𝑦 − 12

Which of the following is a system of linear equations in two variables?

• −𝑦 = 4

  𝑥 − 3𝑦 = 4

• 2𝑥 − 𝑦 = 4

  2𝑥 = −2

• 5 − 2𝑦 = 4

  −3𝑥 + 𝑦 = −2

• 𝑥 + 3 = 𝑦

  2𝑥 + 2𝑦 = 6

Which of the following system of linear equation in two variables is consistent and

independent?

• 3𝑥 − 2𝑦 = 1

  𝑥 + 2𝑦 = 5

• 𝑥 − 2𝑦 = 1

  𝑥 − 2𝑦 = 5

• 𝑥 + 3𝑦 = 5

  3𝑥 + 9𝑦 = 15

• 𝑥 − 𝑦 = 1

  𝑥 − 𝑦 = −5

Which of the following systems of linear equation in two variables is consistent

and dependent?

• 𝑥 + 2𝑦 = 5

  𝑥 + 2𝑦 = −3

• 3𝑥 − 2𝑦 = 6

  15𝑥 − 10𝑦 = 30

• 𝑥 + 3𝑦 = −5

  3𝑥 + 9𝑦 = 15

• 𝑥 − 𝑦 = 1

  𝑥 + 𝑦 = 4

Which of the following system of linear equations is inconsistent?

• 5𝑥 + 2𝑦 = 10

  2𝑥 + 5𝑦 = 10

• 4𝑥 − 3𝑦 = 12

  12𝑥 − 9𝑦 = −36

• 2𝑥 + 𝑦 = 4

  2𝑥 + 3𝑦 = 2

• 5𝑥 + 𝑦 = −3

  15𝑥 + 3𝑦 = −9

What is the solution to the system of equations shown in the graph?

• (0,−1)

• (0,2)

• (0,3)

• (3,0)

What do you call the graph of a system of linear equations in two variables which shows only one solution?

• coinciding

• intersecting

• parallel

• none of these

How do you describe the graphs of the system of linear equations in two variables which has no solution?

• coinciding

• intersecting

• parallel

• none of these

How many solutions does a system of linear equations in two variables have if the graphs are intersecting?

• one

• two

• no solution

• infinitely many

How many solutions does a system of linear equations in two variables have if the slopes of the lines are equal and the y-intercepts are also equal?

• one

• two

• no solution

• infinitely many