if two lines intersect at one point, the system is called
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If two lines intersect at one point, the system is called. consistent and dependent consistent and independent inconsistent and independent inconsistent and dependent . - PowerPoint PPT PresentationTRANSCRIPT
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If two lines intersect at one point, the system is called
1 2 3 4
25% 25%25%25%1. consistent and dependent
2. consistent and independent
3. inconsistent and independent
4. inconsistent and dependent
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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?
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25% 25%25%25%1. dependent system 2. none of these 3. consistent system 4. inconsistent
system
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Find the x-coordinate of the solution of the system
1 2 3 4
25% 25%25%25%x y
x y2 3
0
323
43
RS||T||
1. x = 3 2. x = -23. x = 2 4. x = -3
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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%?
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25% 25%25%25%1. $3800 2. $772 3. $4000 4. $3500
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Solve the following system by graphing and then give the y-coordinate of the solution.
1 2 3 4
25% 25%25%25%
x yx y RST
2 63
1. y = 4 2. y = -13. y = 1 4. y = -4
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Equations with different graphs are called ____________ equations.
1 2 3 4
25% 25%25%25%1. consistent 2. inconsistent 3. dependent 4. independent
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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?
1 2 3 4
25% 25%25%25%
31
1. one solution 2. infinitely many
solutions 3. cannot determine
from the information given
4. no solution
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Solve the system by graphing and then give the y-coordinate of the solution.
1 2 3 4
25% 25%25%25%
9552
yxyx
1. y = 2 2. y = – 1 3. y = – 2 4. y = 1
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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?
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25% 25%25%25%1. two parallel lines 2. two lines that
intersect in one point
3. two lines that coincide
4. two lines that are perpendicular
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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.
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25% 25%25%25%
1. 120 2. 100 3. 140 4. 55
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The solutions for the system
are in
1 2 3 4
25% 25%25%25%
200
yxyx
1. Quadrant I 2. Quadrant II 3. Quadrant III 4. Quadrant IV
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A system of equations that has at least one solution is called a(n) _________
system.
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25% 25%25%25%1. consistent 2. inconsistent 3. dependent 4. independent
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Determine the number of solutions for the system
1 2 3 4
25% 25%25%25%
xy
yx
433
1243
1. one solution 2. no solution 3. none of these 4. infinitely many
solutions
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Find the y-coordinate of the ordered pair of the solution of the system
1 2 3 4
25% 25%25%25%
372375yx
yx
1. y = – 1 2. y = 2 3. y = – 2 4. y = 1
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If the sum of the measures of two angles is 90, the angles are called ______________ angles.
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25% 25%25%25%
1. right 2. supplementary 3. complementary 4. obtuse
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Solve the following system by the elimination (addition) method.
1 2 3 4
25% 25%25%25%
224
3623
yx
yx
1. (2, 0) 2. (0, – 3) 3. The system is
inconsistent. 4. The equations are
dependent.
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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?
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25% 25%25%25%1. 3.50x + 6y = 100 2. 3.50x + 6y = 4.50 3. 3.50x + 6y = 450 4. x + y = 4.50
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The solutions for the system
are in
1 2 3 4
25% 25%25%25%
00
yx
1. Quadrant I 2. Quadrant II 3. Quadrant III 4. Quadrant IV
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A system with no solution is called
1 2 3 4
25% 25%25%25%1. an independent system
2. a dependent system
3. a consistent system
4. an inconsistent system
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Determine if (3,– 2) is a solution of the system
1 2 3 4
25% 25%25%25%
1. (3,– 2) is a solution of only the first equation
2. (3,– 2) is a solution of only the second equation
3. (3,– 2) is a solution of both equations
4. (3,– 2) is a not a solution of either equation
xy
yx5741323
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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?
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25% 25%25%25%
1. .10x + .40y = 3.6 2. .10x + .40y = 36 3. .10x + .40y = 12 4. .10x + .40y = .3
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Which of the following points cannot be used as a test point to determine which region to shade for the linear inequality ?
1 2 3 4
25% 25%25%25%1. (1, – 2) 2. (– 1, 2) 3. (1, 2) 4. (– 1,– 2)
1252 yx
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Equations with different graphs are called __________ equations.
1 2 3 4
25% 25%25%25%1. dependent 2. independent 3. consistent 4. inconsistent
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Solve the following system by graphing and then give the x-coordinate of the ordered pair of the solution.
1 2 3 4
25% 25%25%25%
1. x = 22. x = -2 3. x = 74. x = 0
1 322
y x
y
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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?
1 2 3 4
25% 25%25%25%
1. one solution 2. no solution 3. infinitely many
solutions 4. cannot determine
from the information given