Question 1

Draw the graph of the equation.
-$$x ^ { 2 } = 5 y$$

Accepted Answer

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

Question 2

Write the function without radicals by using fractional exponents.
-$$y = \sqrt { ( 5 x - 8 ) ^ { 5 } }$$

Accepted Answer

A)  $y = ( 5 x - 8 ) ^ { 2 / 5 }$ 
B)  $y = ( 5 x - 8 ) ^ { 10 }$ 
C)  $y = ( 5 x - 8 ) ^ { 5 / 2 }$ 
D)  $y = ( 5 x - 8 ) ^ { 5 }$ 
A)  $y = ( 5 x - 8 ) ^ { 2 / 5 }$ 
B)  $y = ( 5 x - 8 ) ^ { 10 }$ 
C)  $y = ( 5 x - 8 ) ^ { 5 / 2 }$ 
D)  $y = ( 5 x - 8 ) ^ { 5 }$

Question 3

Draw the graph of the equation.
-$$x ^ { 2 } - 9 y - 6 x = 0$$

Accepted Answer

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

Question 4

Rewrite the expression as a sum, difference, or multiple of logarithms.
-$\ln \frac { 2 x - 7 } { x + 8 }$

Accepted Answer

A)  $\ln ( 2 x - 7 ) + \ln ( x + 8 )$ 
B)  $\ln ( x + 8 ) - \ln ( 2 x - 7 )$ 
C)  $\ln ( 2 x - 7 ) - \ln ( x + 8 )$ 
D)  $\ln ( 1 x - 15 )$ 
A)  $\ln ( 2 x - 7 ) + \ln ( x + 8 )$ 
B)  $\ln ( x + 8 ) - \ln ( 2 x - 7 )$ 
C)  $\ln ( 2 x - 7 ) - \ln ( x + 8 )$ 
D)  $\ln ( 1 x - 15 )$

Question 5

Graph the solution region for the system of inequalities and identify the corners of the region.
-$$\left\{ \begin{array} { l } 
x + 2 y \leq 10 \
2 x + y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right.$$

Accepted Answer

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

Question 6

Graph the inequality.
-$\frac { x } { 3 } - \frac { y } { 4 } > - 1$

Accepted Answer

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

Question 7

Zach is planning to invest up to $50,000 in corporate and municipal bonds. The least he will invest in corporate bonds is $9000 and he does not want to invest more than $27,000 in corporate bonds. He also does not want to
Invest more than $34,307 in municipal bonds. The interest is 8.2% on corporate bonds and 6.2% on municipal
Bonds. This is simple interest for one year. What is the maximum income?

Accepted Answer

A)  $3640 
B)  $26,640 
C)  $4788 
D)  $30,640 
A)  $3640 
B)  $26,640 
C)  $4788 
D)  $30,640

Question 8

Graph the circle.
-$$x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13$$

Accepted Answer

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

Question 9

Graph the region determined by the inequality in the context of the application.
-A hardware store has room for 300 bags of fertilizer. The fertilizer manufacturer plans to ship x bags of fertilizer with a weed killer and y bags of fertilizer without the weed killer. This can be represented by $$\text { by } x + y \leq 300$$

Accepted Answer

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

Question 10

Find the future value of $16,000 invested for 15 years at 9%, compounded daily. Round your answer to the nearest cent.

Accepted Answer

A)  $58,279.72 
B)  $56,397.98 
C)  $61,408.69 
D)  $61,708.54 
A)  $58,279.72 
B)  $56,397.98 
C)  $61,408.69 
D)  $61,708.54

Question 11

Graph.
-$x ^ { 2 } - y ^ { 2 } = 32$

Accepted Answer

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

Question 12

Solve the equation for y.
-$$y ^ { 2 } + 9 x - y = 0$$

Accepted Answer

A)  $y = \frac { 1 \pm \sqrt { - 1 - 36 x } } { 2 }$ 
B)  $y = \frac { 1 \pm \sqrt { 1 - 36 x } } { 2 }$ 
C)  $y = \frac { 1 \pm \sqrt { 1 + 36 x } } { 2 }$ 
D)  $y = \frac { - 1 \pm \sqrt { 1 - 36 x } } { 2 }$ 
A)  $y = \frac { 1 \pm \sqrt { - 1 - 36 x } } { 2 }$ 
B)  $y = \frac { 1 \pm \sqrt { 1 - 36 x } } { 2 }$ 
C)  $y = \frac { 1 \pm \sqrt { 1 + 36 x } } { 2 }$ 
D)  $y = \frac { - 1 \pm \sqrt { 1 - 36 x } } { 2 }$

Question 13

Suppose a new business makes a profit of $4000 in its first year, and its profit increases by 18% in each succeeding year. How much total profit did it earn in its first 6 years? Round your answer to the nearest cent.

Accepted Answer

A)  $37,767.87 
B)  $48,566.09 
C)  $38,731.81 
D)  $28,616.84 
A)  $37,767.87 
B)  $48,566.09 
C)  $38,731.81 
D)  $28,616.84

Question 14

The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a
parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the
parabola and its associated equation.
-Equation of parabola: $f ( x ) = x ^ { 2 } - 6 x + 1$; associated equation: $0 = 2 x - 6$

Accepted Answer

A)  $( 3 , - 8 )$ 
B)  $( 3,28 )$ 
C)  $( - 3,28 )$ 
D)  $( - 3 , - 8 )$ 
A)  $( 3 , - 8 )$ 
B)  $( 3,28 )$ 
C)  $( - 3,28 )$ 
D)  $( - 3 , - 8 )$

Question 15

Find the first five terms of the sequence defined by the given general term.
-$$f ( n ) = 2 n - 2$$

Accepted Answer

A)  $0,1,2,3,4$ 
B)  $0,2,4,6,8$ 
C)  $4,6,8,10,12$ 
D)  $0 , - 2 , - 4 , - 6 , - 8$ 
A)  $0,1,2,3,4$ 
B)  $0,2,4,6,8$ 
C)  $4,6,8,10,12$ 
D)  $0 , - 2 , - 4 , - 6 , - 8$

Question 16

Find the sum of the first 11 terms of the arithmetic sequence 1, 3, 5, . . . .

Accepted Answer

A)  121 
B)  144 
C)  100 
D)  132 
A)  121 
B)  144 
C)  100 
D)  132

Question 17

Suppose an animal feed to be mixed from soybean meal and oats must contain at least 100 lb of protein, 20 lb of fat, and 9 lb of mineral ash. Each 100-lb sack of soybean meal costs $20 and contains 50 lb of protein, 10 lb of fat,And 8 lb of mineral ash. Each 100-lb sack of oats costs $10 and contains 20 lb of protein, 5 lb of fat, and 1 lb of Mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?
Fractional sacks are allowed.

Accepted Answer

A)  2 sacks of soybeans and 0 sacks of oats 
B)  0 sacks of soybeans and 4 sacks of oats 
C)  $\frac { 14 } { 11 }$ sacks of soybeans and $\frac { 20 } { 11 }$ sacks of oats 
D)  $\frac { 7 } { 3 }$ sacks of soybeans and $\frac { 5 } { 6 }$ sacks of oats 
A)  2 sacks of soybeans and 0 sacks of oats 
B)  0 sacks of soybeans and 4 sacks of oats 
C)  $\frac { 14 } { 11 }$ sacks of soybeans and $\frac { 20 } { 11 }$ sacks of oats 
D)  $\frac { 7 } { 3 }$ sacks of soybeans and $\frac { 5 } { 6 }$ sacks of oats

Question 18

Graph the circle.
-$(x-2)^{2}+(y+3)^{2}=9$

Accepted Answer

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

Question 19

Graph the solution region for the system of inequalities and identify the corners of the region.
-$$\left\{ \begin{array} { l } 
y \leq 3 x - 1 \
y \geq - 3 x - 1 \
x \leq 3
\end{array} \right.$$

Accepted Answer

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

Question 20

Draw the graph of the equation.
-$$y ^ { 2 } = 7 x$$

Accepted Answer

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

Draw the graph of the equation. - $x ^ { 2 } = 5 y$ $Draw the graph of the equation. - x ^ { 2 } = 5 y$

Write the function without radicals by using fractional exponents. - $y = \sqrt { ( 5 x - 8 ) ^ { 5 } }$

Draw the graph of the equation. - $x ^ { 2 } - 9 y - 6 x = 0$ $Draw the graph of the equation. - x ^ { 2 } - 9 y - 6 x = 0$

Rewrite the expression as a sum, difference, or multiple of logarithms. - $\ln \frac { 2 x - 7 } { x + 8 }$

Graph the inequality. - $\frac { x } { 3 } - \frac { y } { 4 } > - 1$ $Graph the inequality. - \frac { x } { 3 } - \frac { y } { 4 } > - 1$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13$

Find the future value of $16,000 invested for 15 years at 9%, compounded daily. Round your answer to the nearest cent.

Graph. - $x ^ { 2 } - y ^ { 2 } = 32$ $Graph. - x ^ { 2 } - y ^ { 2 } = 32$

Solve the equation for y. - $y ^ { 2 } + 9 x - y = 0$

Suppose a new business makes a profit of $4000 in its first year, and its profit increases by 18% in each succeeding year. How much total profit did it earn in its first 6 years? Round your answer to the nearest cent.

Find the first five terms of the sequence defined by the given general term. - $f ( n ) = 2 n - 2$

Find the sum of the first 11 terms of the arithmetic sequence 1, 3, 5, . . . .

Graph the circle. - $(x-2)^{2}+(y+3)^{2}=9$ $Graph the circle. - (x-2)^{2}+(y+3)^{2}=9$

Draw the graph of the equation. - $y ^ { 2 } = 7 x$ $Draw the graph of the equation. - y ^ { 2 } = 7 x$

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Exam 8: Special Topics in Algebra

Draw the graph of the equation. - x2=5yx ^ { 2 } = 5 yx2=5y

Write the function without radicals by using fractional exponents. - y=(5x−8)5y = \sqrt { ( 5 x - 8 ) ^ { 5 } }y=(5x−8)5​

Draw the graph of the equation. - x2−9y−6x=0x ^ { 2 } - 9 y - 6 x = 0x2−9y−6x=0

Rewrite the expression as a sum, difference, or multiple of logarithms. - ln⁡2x−7x+8\ln \frac { 2 x - 7 } { x + 8 }lnx+82x−7​

Graph the solution region for the system of inequalities and identify the corners of the region. - {x+2y≤102x+y≤8x≥0,y≥0\left\{ \begin{array} { l } x + 2 y \leq 10 \\2 x + y \leq 8 \\x \geq 0 , y \geq 0\end{array} \right.⎩⎨⎧​x+2y≤102x+y≤8x≥0,y≥0​

Graph the inequality. - x3−y4>−1\frac { x } { 3 } - \frac { y } { 4 } > - 13x​−4y​>−1

Graph the circle. - x2+y2−4x=−10y−13x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13x2+y2−4x=−10y−13

Find the future value of $16,000 invested for 15 years at 9%, compounded daily. Round your answer to the nearest cent.

Graph. - x2−y2=32x ^ { 2 } - y ^ { 2 } = 32x2−y2=32

Solve the equation for y. - y2+9x−y=0y ^ { 2 } + 9 x - y = 0y2+9x−y=0

Suppose a new business makes a profit of $4000 in its first year, and its profit increases by 18% in each succeeding year. How much total profit did it earn in its first 6 years? Round your answer to the nearest cent.

Find the first five terms of the sequence defined by the given general term. - f(n)=2n−2f ( n ) = 2 n - 2f(n)=2n−2

Find the sum of the first 11 terms of the arithmetic sequence 1, 3, 5, . . . .

Graph the circle. - (x−2)2+(y+3)2=9(x-2)^{2}+(y+3)^{2}=9(x−2)2+(y+3)2=9

Graph the solution region for the system of inequalities and identify the corners of the region. - {y≤3x−1y≥−3x−1x≤3\left\{ \begin{array} { l } y \leq 3 x - 1 \\y \geq - 3 x - 1 \\x \leq 3\end{array} \right.⎩⎨⎧​y≤3x−1y≥−3x−1x≤3​

Draw the graph of the equation. - y2=7xy ^ { 2 } = 7 xy2=7x

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Draw the graph of the equation. - $x ^ { 2 } = 5 y$ $Draw the graph of the equation. - x ^ { 2 } = 5 y$

Write the function without radicals by using fractional exponents. - $y = \sqrt { ( 5 x - 8 ) ^ { 5 } }$

Draw the graph of the equation. - $x ^ { 2 } - 9 y - 6 x = 0$ $Draw the graph of the equation. - x ^ { 2 } - 9 y - 6 x = 0$

Rewrite the expression as a sum, difference, or multiple of logarithms. - $\ln \frac { 2 x - 7 } { x + 8 }$

Graph the inequality. - $\frac { x } { 3 } - \frac { y } { 4 } > - 1$ $Graph the inequality. - \frac { x } { 3 } - \frac { y } { 4 } > - 1$

Graph the circle. - $x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } - 4 x = - 10 y - 13$

Graph. - $x ^ { 2 } - y ^ { 2 } = 32$ $Graph. - x ^ { 2 } - y ^ { 2 } = 32$

Solve the equation for y. - $y ^ { 2 } + 9 x - y = 0$

Find the first five terms of the sequence defined by the given general term. - $f ( n ) = 2 n - 2$

Graph the circle. - $(x-2)^{2}+(y+3)^{2}=9$ $Graph the circle. - (x-2)^{2}+(y+3)^{2}=9$

Draw the graph of the equation. - $y ^ { 2 } = 7 x$ $Draw the graph of the equation. - y ^ { 2 } = 7 x$