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by BlastRoom
Solving three linear equations in three variables, and counting the solutions.
#algebra_2
40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
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Consider the system x - 2y + z = 4, 2x - 4y + 2z = 8, 3x - 6y + 3z = 12. How many solutions does it have?
Consider the system 2x - y + z = -9, x - y + 2z = -9, x - 2y + z = -6. How many solutions does it have?
Solve the system x + y + z = 8, x + 3y + 2z = 17, 2x + 2y - z = 7. What is the value of x?
Solve the system x - y + 2z = -2, x - 2y + z = 3, 3x - y + 2z = -4. What is the solution as an ordered triple (x, y, z)?
For the system (1) 2x - y + z = 2, (2) x - y + 2z = 2, (3) 3x + y - z = 3, which pair of equations eliminates z when the two are added as written?
Solve the system x + 2y - z = 1, x - y + 2z = 4, 3x + y - z = 5. What is the value of z?
A club sold 250 memberships for $2000. Gold memberships cost $12, silver memberships $8 and bronze memberships $6, and twice as many silver memberships sold as bronze memberships. Which system models this, with g, s and b the counts?
Solve the system x + y + z = -3, 2x + 2y - z = -6, 3x - y + 2z = 3. What is the value of y?
Solve the system x + y + z = 2, x + 2y - z = 9, x - 2y + z = -7. What is the solution as an ordered triple (x, y, z)?
Solve the system x + y + z = 0, 2x - y + z = -2, 3x + y - z = -8. What is the value of x?
Consider the system x + y + z = -5, 2x - y + z = -10, x + 3y + 2z = -6. How many solutions does it have?
For the system (1) x - y + 2z = 2, (2) 2x + 2y - z = 3, (3) x - 2y + z = 0, which pair of equations eliminates y when the two are added as written?
A club sold 300 memberships for $3000. Gold memberships cost $15, silver memberships $10 and bronze memberships $5, and twice as many silver memberships sold as bronze memberships. Which system models this, with g, s and b the counts?
A club sold 200 memberships for $1600. Gold memberships cost $12, silver memberships $8 and bronze memberships $6, and twice as many silver memberships sold as bronze memberships. Which system models this, with g, s and b the counts?
For the system (1) 3x + y - z = 3, (2) 2x + 2y - z = 3, (3) x - 2y + z = 0, which pair of equations eliminates y when the two are added as written?
A theater sold 200 tickets for $1600. Adult tickets cost $12, student tickets $8 and child tickets $6, and twice as many student tickets sold as child tickets. Which system models this, with a, s and c the counts?
Solve the system x + y + z = -1, 3x + y - z = 3, 3x - y + 2z = 9. What is the solution as an ordered triple (x, y, z)?
Solve the system x + y + z = -1, x + 2y - z = 8, 2x + 2y - z = 7. What is the solution as an ordered triple (x, y, z)?
Consider the system x - y + 2z = -4, 3x + y - z = -9, x - 2y + z = -2. How many solutions does it have?
For the system (1) 2x - y + z = 2, (2) x + 2y - z = 2, (3) x - y + 2z = 2, which pair of equations eliminates z when the two are added as written?
Consider the system x + y + z = -4, 2x - y + z = -7, 3x + y - z = -8. How many solutions does it have?
A theater sold 200 tickets for $2000. Adult tickets cost $15, student tickets $10 and child tickets $5, and twice as many student tickets sold as child tickets. Which system models this, with a, s and c the counts?
For the system (1) x - y + 2z = 2, (2) 3x + y - z = 3, (3) 2x + 2y - z = 3, which pair of equations eliminates y when the two are added as written?
Consider the system x + 2y - z = -7, 3x + y - z = -11, x - 2y + z = 1. How many solutions does it have?
Solve the system 2x - y + z = -1, x + 2y - z = 2, 2x + 2y - z = 2. What is the value of y?
Solve the system x + y + z = 1, 2x - y + z = -1, x + 2y - z = -5. What is the value of z?
For the system (1) 3x + y - z = 3, (2) 2x + 2y - z = 3, (3) 3x - y + 2z = 4, which pair of equations eliminates y when the two are added as written?
Solve the system x + y + z = 2, 3x + y - z = -10, 2x + y + 3z = 5. What is the solution as an ordered triple (x, y, z)?
Solve the system x + y + z = 1, x + 3y + 2z = 1, 3x - y + 2z = 5. What is the value of y?
Solve the system x + 2y - z = -3, 2x + 2y - z = -1, 3x - y + 2z = 7. What is the solution as an ordered triple (x, y, z)?
Consider the system x + y + z = -6, x + 2y - z = 0, x - 2y + z = -6. How many solutions does it have?
A stall sold 250 boxes for $3000. Large boxes cost $20, medium boxes $12 and small boxes $8, and twice as many medium boxes sold as small boxes. Which system models this, with l, m and s the counts?
Solve the system 2x - y + z = -6, x + 2y - z = 9, 2x + 2y - z = 9. What is the value of x?
Solve the system x + y + z = -1, x + 3y + 2z = 2, 3x - y + 2z = -12. What is the value of z?
Solve the system x + y + z = -3, x + 2y - z = 3, x - 2y + z = -9. What is the solution as an ordered triple (x, y, z)?
Solve the system x - y + 2z = -5, 3x + y - z = 4, 3x - y + 2z = -5. What is the value of x?
Consider the system 2x - y + z = -2, 2x + 2y - z = -12, 3x - y + 2z = -3. How many solutions does it have?
A theater sold 300 tickets for $3000. Adult tickets cost $15, student tickets $10 and child tickets $5, and twice as many student tickets sold as child tickets. Which system models this, with a, s and c the counts?
A club sold 400 memberships for $3200. Gold memberships cost $12, silver memberships $8 and bronze memberships $6, and twice as many silver memberships sold as bronze memberships. Which system models this, with g, s and b the counts?
Solve the system 2x - y + z = 0, 2x + y + 3z = 4, x + 3y + 2z = 1. What is the solution as an ordered triple (x, y, z)?
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Solving Quadratics by Factoring
40 questions
