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

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

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?

1 2 3 4

25% 25%25%25%1. dependent system 2. none of these 3. consistent system 4. inconsistent

system

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

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%?

1 2 3 4

25% 25%25%25%1. $3800 2. $772 3. $4000 4. $3500

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

Equations with different graphs are called ____________ equations.

1 2 3 4

25% 25%25%25%1. consistent 2. inconsistent 3. dependent 4. independent

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

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

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?

1 2 3 4

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

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.

1 2 3 4

25% 25%25%25%

1. 120 2. 100 3. 140 4. 55

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

A system of equations that has at least one solution is called a(n) _________

system.

1 2 3 4

25% 25%25%25%1. consistent 2. inconsistent 3. dependent 4. independent

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

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

If the sum of the measures of two angles is 90, the angles are called ______________ angles.

1 2 3 4

25% 25%25%25%

1. right 2. supplementary 3. complementary 4. obtuse

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.

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?

1 2 3 4

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

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

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

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

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?

1 2 3 4

25% 25%25%25%

1. .10x + .40y = 3.6 2. .10x + .40y = 36 3. .10x + .40y = 12 4. .10x + .40y = .3

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

Equations with different graphs are called __________ equations.

1 2 3 4

25% 25%25%25%1. dependent 2. independent 3. consistent 4. inconsistent

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

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