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WorksheetsQ1M7 SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES
Total questions: 15
Worksheet time: 8mins
Which of the following illustrates a system of linear equations in two variables?
2x−y>1 y=2x2−1
x+y=0 8y>x−64
x−7<2y y=5x−1
x−y=4 y=x+2
Which of the following ordered pairs is the solution of the system:
(3, 2)
(4, 1)
(5, 0)
(6, -1)
Eulah wants to buy materials for her Math project. If she buys an illustration board and a marker, she needs to pay P 22.00. But if she buys 2 illustration boards and a marker she will pay P 37.00. What is the system of the linear equations in the problem?
a.
b.
c.
d.
Eulah wants to buy materials for her Math project. If she buys an illustration board and a marker, she needs to pay P 22.00. But if she buys 2 illustration boards and a marker she will pay P 37.00. What ordered pair will make the equations true?
(5, 17)
(10, 12)
(15, 7)
(20, 2)
Which of the following methods can be used in graphing system of linear equations in two variables?
two points
x and y – intercepts
slope and y- intercept
all of the above
Which of the following is correct when the system is graphed using a slope and y-intercept method?
Equation1:m=2,b=−2 Equation2:m=2,b=−1
Equation1:m=−2,b=2 Equation2:m=−2,b=1
Equation1:m=21,b=−1 Equation1:m=21,b=−2
Equation1:m=−21,b=2 Equation1:m=−21,b=1
What is the graph of the system?
How do you describe the graphs of the system?
coinciding lines
intersecting lines
parallel lines
skew lines
Which of the following is true about the graph of the system?
The slopes are the same.
The slopes are different.
The y-intercepts are the same.
There is a point of intersection.
Which system of linear equation has graphs that show parallel lines?
consistent
dependent
inconsistent
independent
What is the graph of consistent and dependent equations?
coinciding lines
intersecting lines
parallel lines
skew lines
How many solutions does a consistent and independent system of linear equations have?
0
1
2
infinite
Which system of equations is a graph that shows intersecting lines?
x−y=1 2x−y=1
x+y=2 2x+2y=4
2x−y=2 4x−2y=5
x+y=4 x+y=2
Joshua says that the system has no solution. Which of the following reasons would support his statement?
I. The graph of the system of equations shows parallel lines. II. The graph of the system of equations shows intersecting lines. III. The two lines have the same slope but different y – intercepts.
I and II
I and III
II and III
I, II, and III
Which of the following defines a system of linear equations?
A set of two or more linear equations that have common variables.
A set of two or more linear equations that have no common variables.
A set of two or more linear and non-linear equations that have common variables.
A set of two or more linear and non-linear equations that have no common variables.
