Simultaneous Equations
Math ⇒ Algebra
Simultaneous Equations starts at 8 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Simultaneous Equations.
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See sample questions for grade 8
A number is 4 more than another number. Their sum is 16. What are the numbers?
A shop sells pencils and pens. 2 pencils and 3 pens cost $12. 1 pencil and 2 pens cost $7. How much does one pen cost?
A system of equations has exactly one solution. What does this mean about the lines represented by the equations?
A system of equations has no solution. What does this mean about the lines represented by the equations?
If 2x + 3y = 12 and x - y = 1, what is the value of x?
If 3x + 2y = 12 and 2x - y = 1, what is the value of y?
A number is 4 more than another number. Their sum is 16. What are the numbers?
A shop sells pencils and pens. 2 pencils and 3 pens cost $12. 1 pencil and 2 pens cost $7. How much does one pen cost?
If the solution to a system is (2, 5), which of the following systems could it be? (1) x + y = 7, x - y = -3 (2) x + y = 8, x - y = -2 (3) x + y = 7, x - y = 3 (4) x + y = 6, x - y = 4
If x + 2y = 8 and 2x + 4y = 16, what can you say about the solutions? (1) One solution (2) No solution (3) Infinitely many solutions (4) Cannot be determined
Which method is best when one variable is already isolated in one of the equations? (1) Elimination (2) Substitution (3) Graphical (4) Guess and check
Which of the following is a pair of simultaneous equations? (1) x + y = 5 and x - y = 3 (2) x = 2x (3) y = 7 (4) x + 2 = 4
Fill in the blank: If two equations have the same slope but different y-intercepts, their graphs are __________ lines.
Fill in the blank: If two equations represent the same line, the system has __________ solutions.
Fill in the blank: If two lines are parallel, their system of equations has __________ solution(s).
Fill in the blank: The elimination method is also known as the __________ method.
A system of equations is called consistent if it has at least one solution. True or False?
True or False: The elimination method always requires multiplying one or both equations by a constant.
True or False: The graphical method can be used to estimate the solution to a system of equations.
True or False: The solution to a pair of simultaneous equations is the point where their graphs intersect.
