A set of two or more equations in two or more variables
What is a system of equations
100
Two systems of equations that have the same solution set
What is equivalent
100
The process used to write a system of linear equations in row-echelon form
What is Gaussian elimination
100
If the degree of the numerator of rational expression is greater than or equal to the degree of the denominator, then the fraction is called
What is improper
100
An ordered pair, (a,b) is a __ of an inequality in x and y if the inequality is true when a and b are substituted for x and y, respectively.
What is solution
200
Determine which ordered pair is a solution of the system of equations: {4x-y = 1
{6x+y = -6
(a) (0,-3)
(b) (-1,-4)
(c) (-3/2, -2)
(d) (-1/2, -3)
What is D
200
Solve using elimination:
{x+3y = 1
{-x+2y = 4
What is (2,1)
200
Determine which ordered triple is a solution of the system of equations.
{3x -y+ z = 1
{2x -3z = -14
{ 5y+2z = 8
(a) (2,0,-3)
(b) (-2,0,8)
(c) (0,-1,3)
(d) (-1,0,4)
What is D
200
What is the decomposition form of 3x-1/x(x-4)?
What is A/x + B/x-4
200
Graph the inequality.
y< 2- x^2
What is (region inside arc is shaded)
300
Solve by method of substitution:
{2x+y = 6
{-x+y = 0
What is (2,2)
300
Solve using elimination:
{ x -y = 2
{-2x+2y = 5
What is no solution
300
Solve using back substitution.
{2x-y+5z = 24
{ y+2z = 6
{ z = 4
What is (1,-2,4)
300
Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.
7/x^2 - 14x
What is A/x + B/x-14
300
Use a graphing utility to graph the inequality. Shade the region representing the solution.
y< ln x
What is (region below arc is shaded)
400
Solve using substitution:
{-2x+y =-5
{x^2 + y^2 = 25
What is (0,-5), (4,3)
400
Solve using any method:
{3x-5y = 7
{2x+y = 9
What is (4,1)
400
Perform the row operation and write the equivalent system.
Add Equation 1 to Equation 2.
{ x-2y+3z = 5
{-x+3y-5z = 4
{2x -3z = 0
What is {x-2y+3z = 5
{ y-2z = 9
{2x -3z = 0
400
Write the partial fraction decomposition of the improper rational expression.
x^2 -x/ x^2 +x +1
What is 1- (2x+1/x^2 +x +1)
400
Determine which ordered pair is a solution of the system of linear inequalities.
{x >(or = to) -4
{y >-3
{y <(or = to) -8x -3
(a) (0,0)
(b) (-1,-3)
(c) (-4,0)
What is C
500
Find the sales necessary to break even (R=C) for the cost C of producing x units and the revenue R obtained by selling x units. (Round to the nearest whole unit.)
C = 8650x + 250,000
R = 9950x
What is 192 units
500
Find the equilibrium point of the demand and supply equations. The equilibrium point is the price p and the number of units x that satisfy both the demand and supply equations.
Demand: p = 50-0.5x
Supply: p = 0.125x
What is (80,10)
500
Solve the system of linear equations.
{12x+5y+z = 0
{23x+4y -z = 0
What is (9a, -35a, 67a)
500
True or false:
For the rational expression x/[(x+10)(x-10)^2] the partial fraction decomposition is of the form A/(x+10) + B/[(x-10)^2].
What is False. The partial faction decomposition is
A/(x+10) + B/(x-10) + C/[(x-10)^2]
500
Use a graphing utility to graph the systems and find the consumer surplus and the producer surplus.
What is Consumer surplus: $1600
Producer surplus: $400