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

3

2

3

4

3

RS||T||

1. x = 3

2. x = -2

3. 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 y

x y

RST

2 6

3

1. y = 4

2. y = -1

3. 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%

3

1

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%

95

52

yx

yx

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%

2

0

0

yx

y

x

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

4

33

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%

372

375

yx

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

3

623

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%

0

0

y

x

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

yx

574

1323

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 = 2

2. x = -2

3. x = 7

4. x = 0

13

22

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