
Solving Systems of Equations
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Mathematics
9th Grade
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16 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean if a system of equations has one solution?
The lines representing the equations are parallel and never intersect.
The lines representing the equations intersect at exactly one point.
The lines representing the equations coincide and have infinitely many solutions.
The lines representing the equations intersect at two points.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a system of equations?
A single equation with one variable.
A set of two or more equations with the same variables.
An equation that has no solution.
A method for solving quadratic equations.
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What does it mean to solve a system of equations?
Finding the values of the variables that satisfy all equations in the system.
Identifying the number of equations in the system.
Graphing the equations to find their intersection points.
Eliminating one variable to simplify the equations.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
How do you solve the system by elimination: 3x + 2y = 12 and 6x + 4y = 24?
Multiply the first equation by 2 to get 6x + 4y = 24, which is the same as the second equation, indicating infinite solutions.
Add the two equations to eliminate y and solve for x.
Subtract the second equation from the first to find a unique solution.
Multiply the second equation by 0 to simplify the system.
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the first step in solving a system of equations by substitution?
Isolate one variable in one of the equations.
Add the equations together to eliminate a variable.
Graph the equations to find the intersection point.
Substitute one equation into the other without isolating a variable.
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a consistent system of equations?
A system that has no solutions.
A system that has exactly two solutions.
A system that has at least one solution.
A system that has infinitely many solutions.
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Solve the system by substitution: y = -3x + 4 and 2x + y = 10.
x = -6, y = 22
x = 2, y = -2
x = 0, y = 4
x = 1, y = 1
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