Question 1

Solve the system.
-

Accepted Answer

A)  {(10, -8), (10, 8)} 
B)  {(10, 8), (8, 10), (-10, -8), (-8, -10)} 
C)  {(10, 8), (-10, 8), (10, -8), (-10, -8)} 
D)  {(-10, -8), (-8, -10)} 
A)  {(10, -8), (10, 8)} 
B)  {(10, 8), (8, 10), (-10, -8), (-8, -10)} 
C)  {(10, 8), (-10, 8), (10, -8), (-10, -8)} 
D)  {(-10, -8), (-8, -10)}

Question 2

Find A, B, and C for the partial fraction decomposition.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Graph the solution set of the system.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Determine whether the given point is in the solution set to the given system.
-(5, 3) 4x + y = 17
3x + 4y = 3

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Determine whether the given point is in the solution set to the given system.
-(-3, -1, 4) 2x - 2y - 3z = -16
4x - 3y + 3z = 3
X + y - 5z = -24

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 6

Solve the system.
-

Accepted Answer

A)  {(1, 0)} 
B)  {(1, 0), (0, 1)} 
C)  {(1, 0), (-1, 0)} 
D)  {(1, 0), (-1, 0), (0, 1), (0, -1)} 
A)  {(1, 0)} 
B)  {(1, 0), (0, 1)} 
C)  {(1, 0), (-1, 0)} 
D)  {(1, 0), (-1, 0), (0, 1), (0, -1)}

Question 7

Solve the problem.
-Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91

Accepted Answer

A)  16 yd by 7 yd 
B)  13 yd by 7 yd 
C)  14 yd by 6 yd 
D)  15 yd by 6 yd 
A)  16 yd by 7 yd 
B)  13 yd by 7 yd 
C)  14 yd by 6 yd 
D)  15 yd by 6 yd

Question 8

Use a system of equations to find the parabola of the form y =   + bx + c that goes through the three given points.
-(4, -86), (5, -127), (3, -53)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 9

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(0.75, -4.5)} 
B)  {(0.75, 4.5)} 
C)  {(-0.75, -4.5)} 
D)  {(-0.75, 4.5)} 
A)  {(0.75, -4.5)} 
B)  {(0.75, 4.5)} 
C)  {(-0.75, -4.5)} 
D)  {(-0.75, 4.5)}

Question 10

Solve the system by addition.
-x - 2y = -16 -7x - 1y = -8

Accepted Answer

A)  {(-8, 0)} 
B)    
C)  {(1, 7)} 
D)  {(0, 8)} 
A)  {(-8, 0)} 
B)    
C)  {(1, 7)} 
D)  {(0, 8)}

Question 11

Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 61, and the tens digit is 1 more than the units digit. Find the number.

Accepted Answer

A)  54 
B)  56 
C)  65 
D)  45 
A)  54 
B)  56 
C)  65 
D)  45

Question 12

Solve the system by addition.
-  = -18   = -9

Accepted Answer

A)  {(-12, 0)} 
B)  {(0, -12)} 
C)  {(0, 12)} 
D)  {(12, 0)} 
A)  {(-12, 0)} 
B)  {(0, -12)} 
C)  {(0, 12)} 
D)  {(12, 0)}

Question 13

Find A, B, and C for the partial fraction decomposition.
-

Accepted Answer

A)  A = 0, B = -3, C = 2 
B)  A = 0, B = -2, C = 3 
C)  A = 0, B = 3, C = -2 
D)  A = 0, B = 2, C = -3 
A)  A = 0, B = -3, C = 2 
B)  A = 0, B = -2, C = 3 
C)  A = 0, B = 3, C = -2 
D)  A = 0, B = 2, C = -3

Question 14

Solve the problem.
-An office manager is buying used filing cabinets. Each small file cabinet costs $4, takes up 7 square feet of floor space, and holds 7 cubic feet of files. Each large file cabinet costs $9, takes up 10 square feet of floor space, and
Holds 13 cubic feet of files. The total cost cannot exceed $90, and the office has no more than 123 square feet of
Floor space available for the cabinets. How many of each file cabinet should the manager buy to maximize
Storage capacity? What is the maximum storage capacity?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Graph the inequality.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Decompose into partial fractions.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 17

Solve the system by addition.
-7x + 9y = -45 4x + 6y = -30

Accepted Answer

A)  {(0, -5)} 
B)  {(0, -4)} 
C)  {(-1, -4)} 
D)    
A)  {(0, -5)} 
B)  {(0, -4)} 
C)  {(-1, -4)} 
D)

Question 18

Solve the system by graphing.
-2x - 2y = 4 -2x + 2y = -4

Accepted Answer

A)  {(2, 0)} 
B)    
C)  {(8, 6)} 
D)  {(6, 8)} 
A)  {(2, 0)} 
B)    
C)  {(8, 6)} 
D)  {(6, 8)}

Question 19

Solve the problem.
-The perimeter of a triangle is 33 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.

Accepted Answer

A)  13 cm 
B)  6 cm 
C)  7 cm 
D)  11 cm 
A)  13 cm 
B)  6 cm 
C)  7 cm 
D)  11 cm

Question 20

Solve the problem.
-Find two complex numbers whose sum is 14 and whose product is 63.

Accepted Answer

A)  7 + 14i and 7 - 14i 
B)  7 + 7i and 7 - 7i 
C)    
D)    
A)  7 + 14i and 7 - 14i 
B)  7 + 7i and 7 - 7i 
C)    
D)

Solve the system. -

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Graph the solution set of the system. -

Determine whether the given point is in the solution set to the given system. -(5, 3) 4x + y = 17 3x + 4y = 3

Determine whether the given point is in the solution set to the given system. -(-3, -1, 4) 2x - 2y - 3z = -16 4x - 3y + 3z = 3 X + y - 5z = -24

Solve the system. -

Solve the problem. -Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91

Use a system of equations to find the parabola of the form y = + bx + c that goes through the three given points. -(4, -86), (5, -127), (3, -53)

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by addition. -x - 2y = -16 -7x - 1y = -8

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 61, and the tens digit is 1 more than the units digit. Find the number.

Solve the system by addition. - = -18 = -9

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Graph the inequality. -

Decompose into partial fractions. - $Decompose into partial fractions. -$

Solve the system by addition. -7x + 9y = -45 4x + 6y = -30

Solve the system by graphing. -2x - 2y = 4 -2x + 2y = -4

Solve the problem. -The perimeter of a triangle is 33 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.

Solve the problem. -Find two complex numbers whose sum is 14 and whose product is 63.

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters

Exam 8: Systems of Equations and Inequalities

Solve the system. -

Find A, B, and C for the partial fraction decomposition. -

Graph the solution set of the system. -

Determine whether the given point is in the solution set to the given system. -(5, 3) 4x + y = 17 3x + 4y = 3

Determine whether the given point is in the solution set to the given system. -(-3, -1, 4) 2x - 2y - 3z = -16 4x - 3y + 3z = 3 X + y - 5z = -24

Solve the system. -

Solve the problem. -Find the dimensions of a rectangular enclosure with perimeter 40 yd and area 91

Use a system of equations to find the parabola of the form y = + bx + c that goes through the three given points. -(4, -86), (5, -127), (3, -53)

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by addition. -x - 2y = -16 -7x - 1y = -8

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 61, and the tens digit is 1 more than the units digit. Find the number.

Solve the system by addition. - = -18 = -9

Find A, B, and C for the partial fraction decomposition. -

Graph the inequality. -

Decompose into partial fractions. -

Solve the system by addition. -7x + 9y = -45 4x + 6y = -30

Solve the system by graphing. -2x - 2y = 4 -2x + 2y = -4

Solve the problem. -The perimeter of a triangle is 33 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 2 cm, it would be equilateral. Find the base of the original triangle.

Solve the problem. -Find two complex numbers whose sum is 14 and whose product is 63.

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Decompose into partial fractions. - $Decompose into partial fractions. -$