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If two lines intersect at one point, the system is called

If two lines intersect at one point, the system is called. consistent and dependent consistent and independent inconsistent and independent inconsistent and dependent .

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If two lines intersect at one point, the system is called

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  1. If two lines intersect at one point, the system is called • consistent and dependent • consistent and independent • inconsistent and independent • inconsistent and dependent

  2. In solving a system of equations using the substitution method, suppose you obtain the result of 3 = 4. What term is used to describe the system? • dependent system • none of these • consistent system • inconsistent system

  3. Find the x-coordinate of the solution of the system • x = 3 • x = -2 • x = 2 • x = -3

  4. Hilda wants to invest part of $6000 in an account that paid 3% and part in an account that paid 5%. The total annual interest from both accounts is $256. How much was invested at 5%? • $3800 • $772 • $4000 • $3500

  5. Solve the following system by graphing and then give the y-coordinate of the solution. • y = 4 • y = -1 • y = 1 • y = -4

  6. Equations with different graphs are called ____________ equations. • consistent • inconsistent • dependent • independent

  7. If line 1 has slope 3 and y-intercept 4 and line 2 has slope and y-intercept 4, how many solutions does the system have? • one solution • infinitely many solutions • cannot determine from the information given • no solution

  8. Solve the system by graphing and then give the y-coordinate of the solution. • y = 2 • y = – 1 • y = – 2 • y = 1

  9. In solving a system of equations using the substitution method, suppose you obtain the result of 2 = 2. What would be the graph of the system? • two parallel lines • two lines that intersect in one point • two lines that coincide • two lines that are perpendicular

  10. At the concession stand hot dogs sold for $1.00 and hamburgers for $1.50. At the last football game 175 hot dogs and hamburgers were sold and $235 was collected. How many hamburgers were sold? Solve by writing a system of two equations in two variables. • 120 • 100 • 140 • 55

  11. The solutions for the system are in • Quadrant I • Quadrant II • Quadrant III • Quadrant IV

  12. A system of equations that has at least one solution is called a(n) _________ system. • consistent • inconsistent • dependent • independent

  13. Determine the number of solutions for the system • one solution • no solution • none of these • infinitely many solutions

  14. Find the y-coordinate of the ordered pair of the solution of the system • y = – 1 • y = 2 • y = – 2 • y = 1

  15. If the sum of the measures of two angles is 90, the angles are called ______________ angles. • right • supplementary • complementary • obtuse

  16. Solve the following system by the elimination (addition) method. • (2, 0) • (0, – 3) • The system is inconsistent. • The equations are dependent.

  17. A merchant wishes to mix peanuts that sell for $3.50 per pound and cashews that sell for $6 per pound to get 100 pounds of mixed nuts that sell for $4.50 per pound. Let x equal the number of pounds of peanuts and y equal the number of pounds of cashews. If solving this by writing two equations in two variables, which of the following could be one of the equations? • 3.50x + 6y = 100 • 3.50x + 6y = 4.50 • 3.50x + 6y = 450 • x + y = 4.50

  18. The solutions for the systemare in • Quadrant I • Quadrant II • Quadrant III • Quadrant IV

  19. A system with no solution is called • an independent system • a dependent system • a consistent system • an inconsistent system

  20. Determine if (3,– 2) is a solution of the system • (3,– 2) is a solution of only the first equation • (3,– 2) is a solution of only the second equation • (3,– 2) is a solution of both equations • (3,– 2) is a not a solution of either equation

  21. A chemist needs 12 liters of a 30% acid solution. He has a 10% acid solution and a 40% acid solution. Let x equal number of liters of 10% acid solution and y equal number of liters of 40% acid solution. If solving this problem by writing two equations in two variables, which of the following could be one of the equations? • .10x + .40y = 3.6 • .10x + .40y = 36 • .10x + .40y = 12 • .10x + .40y = .3

  22. Which of the following points cannot be used as a test point to determine which region to shade for the linear inequality ? • (1, – 2) • (– 1, 2) • (1, 2) • (– 1,– 2)

  23. Equations with different graphs are called __________ equations. • dependent • independent • consistent • inconsistent

  24. Solve the following system by graphing and then give the x-coordinate of the ordered pair of the solution. • x = 2 • x = -2 • x = 7 • x = 0

  25. If line 1 has slope 5 and y-intercept 3 and line 2 has slope -5 and y-intercept 4, how many solutions does the system have? • one solution • no solution • infinitely many solutions • cannot determine from the information given

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