Question 1

Graph the inequality. $$- x - y > 0$$

Accepted Answer

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

Question 2

A student in a chemistry laboratory has access to two acid solutions. The first solution is $10 \%$ acid and the second is $35 \%$ acid. (The percentages are by volume.) How many cubic centimeters of each should she mix together to obtain $150 \mathrm {~cm} ^ { 3 }$ of a $25 \%$ acid solution?

Accepted Answer

A)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 102 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
B)  $50 \mathrm { cc } \text { of } 10 \% \text { solution and } 90 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
C)  $90 \mathrm { cc } \text { of } 10 \% \text { solution and } 60 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
D)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 90 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
E)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 100 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
A)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 102 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
B)  $50 \mathrm { cc } \text { of } 10 \% \text { solution and } 90 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
C)  $90 \mathrm { cc } \text { of } 10 \% \text { solution and } 60 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
D)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 90 \mathrm { cc } \text { of } 35 \% \text { solution }$ 
E)  $60 \mathrm { cc } \text { of } 10 \% \text { solution and } 100 \mathrm { cc } \text { of } 35 \% \text { solution }$

Question 3

Assume that the supply and demand functions for a commodity are as follows: Supply: q = 200p; Demand: q = 4,200 - 400p.
Find the equilibrium price and the corresponding equilibrium quantity.

Accepted Answer

A)  The equilibrium price is $8 when equilibrium quantity is 1,400 items. 
B)  The equilibrium price is $7 when equilibrium quantity is 1,300 items. 
C)  The equilibrium price is $7 when equilibrium quantity is 1,400 items. 
D)  The equilibrium price is $7 when equilibrium quantity is 1,600 items. 
E)  The equilibrium price is $6 when equilibrium quantity is 2,400 items. 
A)  The equilibrium price is $8 when equilibrium quantity is 1,400 items. 
B)  The equilibrium price is $7 when equilibrium quantity is 1,300 items. 
C)  The equilibrium price is $7 when equilibrium quantity is 1,400 items. 
D)  The equilibrium price is $7 when equilibrium quantity is 1,600 items. 
E)  The equilibrium price is $6 when equilibrium quantity is 2,400 items.

Question 4

Use a graphing utility to find all solutions to the nearest one tenth. $$\left\{ \begin{array} { l } 
y = \sqrt { x + 1 } + 3 \
3 x + 4 y = 12
\end{array} \right.$$

Accepted Answer

A)  $( - 0.7,3.5 )$ 
B)  $( - 0.4,3.3 )$ 
C)  $( - 0.6,3.4 )$ 
D)  $( - 1,3.7 )$ 
E)  $( - 0.3,3.2 )$ 
A)  $( - 0.7,3.5 )$ 
B)  $( - 0.4,3.3 )$ 
C)  $( - 0.6,3.4 )$ 
D)  $( - 1,3.7 )$ 
E)  $( - 0.3,3.2 )$

Question 5

Find all solutions of the system. $\left\{ \begin{array} { r } 
- x + 6 y + 5 z = 0 \
6 z = 0
\end{array} \right.$

Accepted Answer

A)  $( y , 5 y , 6 )$ 
B)  $( 6 y , y , 0 )$ 
C)  $( y , 5 y , 0 )$ 
D)  $\text { The system is dependent. }$ 
E)  $\text { The system is inconsistent. }$ 
A)  $( y , 5 y , 6 )$ 
B)  $( 6 y , y , 0 )$ 
C)  $( y , 5 y , 0 )$ 
D)  $\text { The system is dependent. }$ 
E)  $\text { The system is inconsistent. }$

Graph the inequality. $- x - y > 0$

A student in a chemistry laboratory has access to two acid solutions. The first solution is $10 \%$ acid and the second is $35 \%$ acid. (The percentages are by volume.) How many cubic centimeters of each should she mix together to obtain $150 \mathrm {~cm} ^ { 3 }$ of a $25 \%$ acid solution?

Assume that the supply and demand functions for a commodity are as follows: Supply: q = 200p; Demand: q = 4,200 - 400p. Find the equilibrium price and the corresponding equilibrium quantity.

Use a graphing utility to find all solutions to the nearest one tenth. $\left\{ \begin{array} { l } y = \sqrt { x + 1 } + 3 \\3 x + 4 y = 12\end{array} \right.$

Find all solutions of the system. $\left\{ \begin{array} { r } - x + 6 y + 5 z = 0 \\6 z = 0\end{array} \right.$

Fundamentals

Equations and Inequalities

Functions

Polynomial and Rational Functions Applications to Optimization

Exponential and Logarithmic Functions

An Introduction to Trigonometry Via Right Triangles

The Trigonometric Functions

Graphs of the Trigonometric Functions

Analytical Trigonometry

Additional Topics in Trigonometry

The Conic Sections

Roots of Polynomial Equations

Additional Topics in Algebra

Filters

Exam 11: Systems of Equations

Graph the inequality. −x−y>0- x - y > 0−x−y>0