Question
Lesson 11 system a linear equations unit test
Answers
GPT 3.5
Question 1
Solve the system of equations:
3x + 2y = 10
x - y = 3
a) x = 2, y = -1
b) x = 3, y = 1
c) x = 1, y = 4
d) x = 4, y = 1
Answer: b) x = 3, y = 1
Question 2
Solve the system of equations:
2x - y = 5
3x + 2y = 9
a) x = 2, y = -1
b) x = 3, y = 1
c) x = 1, y = 2
d) x = 4, y = 1
Answer: a) x = 2, y = -1
Question 3
Solve the system of equations:
4x + 3y = 11
2x - y = 4
a) x = 3, y = 1
b) x = 2, y = -1
c) x = 1, y = 2
d) x = 4, y = 3
Answer: a) x = 3, y = 1
Question 4
Which of the following statements is true about a system of equations with no solution?
a) The lines are parallel and do not intersect.
b) The lines are perpendicular and intersect at a right angle.
c) The lines intersect at a single point.
d) The lines coincide and overlap completely.
Answer: a) The lines are parallel and do not intersect.
Question 5
Which method can be used to solve a system of linear equations by graphing?
a) Substitution
b) Elimination
c) Matrix method
d) Graphing
Answer: d) Graphing
Solve the system of equations:
3x + 2y = 10
x - y = 3
a) x = 2, y = -1
b) x = 3, y = 1
c) x = 1, y = 4
d) x = 4, y = 1
Answer: b) x = 3, y = 1
Question 2
Solve the system of equations:
2x - y = 5
3x + 2y = 9
a) x = 2, y = -1
b) x = 3, y = 1
c) x = 1, y = 2
d) x = 4, y = 1
Answer: a) x = 2, y = -1
Question 3
Solve the system of equations:
4x + 3y = 11
2x - y = 4
a) x = 3, y = 1
b) x = 2, y = -1
c) x = 1, y = 2
d) x = 4, y = 3
Answer: a) x = 3, y = 1
Question 4
Which of the following statements is true about a system of equations with no solution?
a) The lines are parallel and do not intersect.
b) The lines are perpendicular and intersect at a right angle.
c) The lines intersect at a single point.
d) The lines coincide and overlap completely.
Answer: a) The lines are parallel and do not intersect.
Question 5
Which method can be used to solve a system of linear equations by graphing?
a) Substitution
b) Elimination
c) Matrix method
d) Graphing
Answer: d) Graphing