Question 1

Graph.
-$9 x ^ { 2 } - y ^ { 2 } = 36$

Accepted Answer

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

Question 2

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the minimum possible value of $g = 4 x + 5 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 
x - 2 y \leq 5 \
2 x + y \geq 15 \
x \geq 0 , y \geq 0
\end{array} \right.$$

Accepted Answer

A)  39 
B)  20 
C)  75 
D)  33 
A)  39 
B)  20 
C)  75 
D)  33

Question 3

Draw the graph of the equation.
-$$x ^ { 2 } + y - 4 = 0$$

Accepted Answer

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

Question 4

Graph the solution set of the system of inequalities.
-A company manufactures two types of lawn mowers, a gas-powered model and an electric model. The company's production plan calls for the production of at least 940 mowers per month. Write the inequality that
Describes the production plan, if x represents the number of gas-powered mowers and y represents the number
Of electric mowers.

Accepted Answer

A)  $x + y \leq 940$ 
B)  $x - y \leq 940$ 
C)  $x + y \geq 940$ 
D)  $x - y \geq 940$ 
A)  $x + y \leq 940$ 
B)  $x - y \leq 940$ 
C)  $x + y \geq 940$ 
D)  $x - y \geq 940$

Question 5

Use negative exponents where necessary to write the expression with all variables in the numerator of a term. That is,
write each term in the form c $c x ^ { n }$ if the term contains a variable.
-$$y = 7 x ^ { 2 } + 5 - \frac { 3 } { x } + \frac { 3 } { x ^ { 2 } }$$

Accepted Answer

A)  $y = 7 x ^ { 2 } + 5 + x ^ { - 1 } + x ^ { - 2 }$ 
B)  $y = 7 x ^ { 2 } + 5 - 3 x ^ { - 1 } + 3 x ^ { - 2 }$ 
C)  $y = 5 - 3 x ^ { - 1 } + 10 x ^ { - 2 }$ 
D)  $y = 7 x ^ { 2 } + 5 - ( 3 x ) ^ { - 1 } + ( 3 x ) ^ { - 2 }$ 
A)  $y = 7 x ^ { 2 } + 5 + x ^ { - 1 } + x ^ { - 2 }$ 
B)  $y = 7 x ^ { 2 } + 5 - 3 x ^ { - 1 } + 3 x ^ { - 2 }$ 
C)  $y = 5 - 3 x ^ { - 1 } + 10 x ^ { - 2 }$ 
D)  $y = 7 x ^ { 2 } + 5 - ( 3 x ) ^ { - 1 } + ( 3 x ) ^ { - 2 }$

Question 6

Write the indicated term of the binomial expansion.
-$( x + 2 y ) ^ { 11 ; } 9$ th term

Accepted Answer

A)  $42,240 x ^ { 8 } y ^ { 3 }$ 
B)  $42,240 x ^ { 3 } y ^ { 8 }$ 
C)  $21,120 x ^ { 8 } y ^ { 3 }$ 
D)  $21,120 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 9 }$ 
A)  $42,240 x ^ { 8 } y ^ { 3 }$ 
B)  $42,240 x ^ { 3 } y ^ { 8 }$ 
C)  $21,120 x ^ { 8 } y ^ { 3 }$ 
D)  $21,120 \mathrm { x } ^ { 3 } \mathrm { y } ^ { 9 }$

Question 7

A railroad bridge is built over a V-shaped canyon. If the supports are 3 feet long at each end, the center support is 253 feet long, and the supports increase in length by 2 feet with each support (from 3 feet to 253 feet),
What is the total length of all the supports?

Accepted Answer

A)  32,003 feet 
B)  32,001 feet 
C)  32,000 feet 
D)  32,005 feet 
A)  32,003 feet 
B)  32,001 feet 
C)  32,000 feet 
D)  32,005 feet

Question 8

Graph the solution region for the system of inequalities and identify the corners of the region.
-$$\left\{ \begin{array} { l } 
2 y + x \geq - 2 \
y + 3 x \leq 9 \
y \leq 0 , x \geq 0
\end{array} \right.$$

Accepted Answer

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

Question 9

Find the sum of the first 5 terms of the geometric sequence 4, 12, 36, . . . .

Accepted Answer

A)  481 
B)  484 
C)  483 
D)  494 
A)  481 
B)  484 
C)  483 
D)  494

Question 10

Write the equation for the shape described.
-The circle with endpoints of a diameter at $( 2,9 )$ and $( 6,1 )$

Accepted Answer

A)  $( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 20$ 
B)  $( x - 4 ) ^ { 2 } + y ^ { 2 } = 16$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 20$ 
D)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 4$ 
A)  $( x - 4 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 20$ 
B)  $( x - 4 ) ^ { 2 } + y ^ { 2 } = 16$ 
C)  $( x - 5 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 20$ 
D)  $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 4$

Question 11

Write the equation of the circle with the given center and radius.
-center $( 0,2 )$, radius $\sqrt { 15 }$

Accepted Answer

A)  $( x + 2 ) ^ { 2 } + y ^ { 2 } = 225$ 
B)  $( x - 2 ) ^ { 2 } + y ^ { 2 } = 225$ 
C)  $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 15$ 
D)  $x ^ { 2 } + ( y + 2 ) ^ { 2 } = 15$ 
A)  $( x + 2 ) ^ { 2 } + y ^ { 2 } = 225$ 
B)  $( x - 2 ) ^ { 2 } + y ^ { 2 } = 225$ 
C)  $x ^ { 2 } + ( y - 2 ) ^ { 2 } = 15$ 
D)  $x ^ { 2 } + ( y + 2 ) ^ { 2 } = 15$

Question 12

An equation of the form $y = \left( a x ^ { k } + b \right) ^ { n }$ can be thought of as the composition of the functions $f ( u ) = u n$ and u(x) $=$ ax S1U1P1k + bS1S1P0 and can be written as $y = u ^ { n }$ where \(u = a x ^k + b. Use this concept to fill in the blanks.

-$$y = \left( 8 x ^ { 2 } - 1 \right) ^ { 2 } \text { can be written as } y = u ^ { - } \text {where } u ( x ) =ـــــــــــ$$

Accepted Answer

The answer of An equation of the form \(y =...

Question 13

The population of a town was 27,600 when the first official population was recorded. If the population decreased 350 people per year, how many people lived in the town 15 years later?

Accepted Answer

A)  22,000 
B)  22,700 
C)  22,350 
D)  5250 
A)  22,000 
B)  22,700 
C)  22,350 
D)  5250

Question 14

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 2 x + 5 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 
3 x + 2 y \leq 6 \
- 2 x + 4 y \leq 8 \
x \geq 0 , y \geq 0
\end{array} \right.$$

Accepted Answer

A)  19 
B)  $\frac { 34 } { 3 }$ 
C)  $\frac { 49 } { 4 }$ 
D)  10 
A)  19 
B)  $\frac { 34 } { 3 }$ 
C)  $\frac { 49 } { 4 }$ 
D)  10

Question 15

Write the equation for the shape described.
-The upper semicircle centered at (0, 0) with radius 3

Accepted Answer

A)  $y = - \sqrt { 9 - x ^ { 2 } }$ 
B)  $y = \sqrt { 3 + x ^ { 2 } }$ 
C)  $y = \sqrt { 3 - x ^ { 2 } }$ 
D)  $y = \sqrt { 9 - x ^ { 2 } }$ 
A)  $y = - \sqrt { 9 - x ^ { 2 } }$ 
B)  $y = \sqrt { 3 + x ^ { 2 } }$ 
C)  $y = \sqrt { 3 - x ^ { 2 } }$ 
D)  $y = \sqrt { 9 - x ^ { 2 } }$

Question 16

Graph the solution region for the system of inequalities and identify the corners of the region.
-$$\left\{ \begin{array} { l } 
3 x + 2 y \geq - 12 \
x - 2 y \leq - 4 \
y \leq 6
\end{array} \right.$$

Accepted Answer

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

Question 17

Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of
Protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans
Costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?
Fractional servings are allowed.

Accepted Answer

A)  4 servings of refried pinto beans and $\frac { 7 } { 3 }$ servings of kidney beans 
B)  $\frac { 23 } { 3 }$ servings of refried pinto beans and 0 servings of kidney beans 
C)  $\frac { 7 } { 3 }$ servings of refried pinto beans and 4 servings of kidney beans 
D)  $\frac { 19 } { 3 }$ servings of kidney beans and 0 servings of refried pinto beans 
A)  4 servings of refried pinto beans and $\frac { 7 } { 3 }$ servings of kidney beans 
B)  $\frac { 23 } { 3 }$ servings of refried pinto beans and 0 servings of kidney beans 
C)  $\frac { 7 } { 3 }$ servings of refried pinto beans and 4 servings of kidney beans 
D)  $\frac { 19 } { 3 }$ servings of kidney beans and 0 servings of refried pinto beans

Question 18

Find the center and radius of the circle with the given equation.
-$$( x + 2.4 ) ^ { 2 } + \left( y - \frac { 3 } { 4 } \right) ^ { 2 } = \frac { 49 } { 64 }$$

Accepted Answer

A)  $( 2.4 , - 0.75 ) ; \mathrm { r } = \frac { 7 } { 64 }$ 
B)  $( 0.75 , - 2.4 ) ; r = \frac { 49 } { 64 }$ 
C)  $( - 2.4,0.75 ) ; \mathrm { r } = \frac { 7 } { 8 }$ 
D)  $( 0.75,2.4 ) ; \mathrm { r } = \frac { 7 } { 8 }$ 
A)  $( 2.4 , - 0.75 ) ; \mathrm { r } = \frac { 7 } { 64 }$ 
B)  $( 0.75 , - 2.4 ) ; r = \frac { 49 } { 64 }$ 
C)  $( - 2.4,0.75 ) ; \mathrm { r } = \frac { 7 } { 8 }$ 
D)  $( 0.75,2.4 ) ; \mathrm { r } = \frac { 7 } { 8 }$

Question 19

Find the next three terms of the arithmetic sequence.
-$3,1 , - 1 , \ldots$

Accepted Answer

A)  $- 6 , - 7 , - 10$ 
B)  $- 3 , - 5 , - 7$ 
C)  $1,3,5$ 
D)  $- 3 , - 6 , - 9$ 
A)  $- 6 , - 7 , - 10$ 
B)  $- 3 , - 5 , - 7$ 
C)  $1,3,5$ 
D)  $- 3 , - 6 , - 9$

Question 20

Write the indicated term of the binomial expansion.
-$( 5 x + 4 ) ^ { 3 }$; 3rd term

Accepted Answer

A)  $960 \mathrm { x }$ 
B)  $240 x$ 
C)  $300 x ^ { 2 }$ 
D)  192 
A)  $960 \mathrm { x }$ 
B)  $240 x$ 
C)  $300 x ^ { 2 }$ 
D)  192

Graph. - $9 x ^ { 2 } - y ^ { 2 } = 36$ $Graph. - 9 x ^ { 2 } - y ^ { 2 } = 36$

Draw the graph of the equation. - $x ^ { 2 } + y - 4 = 0$ $Draw the graph of the equation. - x ^ { 2 } + y - 4 = 0$

Use negative exponents where necessary to write the expression with all variables in the numerator of a term. That is, write each term in the form c $c x ^ { n }$ if the term contains a variable. - $y = 7 x ^ { 2 } + 5 - \frac { 3 } { x } + \frac { 3 } { x ^ { 2 } }$

Write the indicated term of the binomial expansion. - $( x + 2 y ) ^ { 11 ; } 9$ th term

A railroad bridge is built over a V-shaped canyon. If the supports are 3 feet long at each end, the center support is 253 feet long, and the supports increase in length by 2 feet with each support (from 3 feet to 253 feet), What is the total length of all the supports?

Find the sum of the first 5 terms of the geometric sequence 4, 12, 36, . . . .

Write the equation for the shape described. -The circle with endpoints of a diameter at $( 2,9 )$ and $( 6,1 )$

Write the equation of the circle with the given center and radius. -center $( 0,2 )$ , radius $\sqrt { 15 }$

The population of a town was 27,600 when the first official population was recorded. If the population decreased 350 people per year, how many people lived in the town 15 years later?

Write the equation for the shape described. -The upper semicircle centered at (0, 0) with radius 3

Find the center and radius of the circle with the given equation. - $( x + 2.4 ) ^ { 2 } + \left( y - \frac { 3 } { 4 } \right) ^ { 2 } = \frac { 49 } { 64 }$

Find the next three terms of the arithmetic sequence. - $3,1 , - 1 , \ldots$

Write the indicated term of the binomial expansion. - $( 5 x + 4 ) ^ { 3 }$ ; 3rd term

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

Graph. - 9x2−y2=369 x ^ { 2 } - y ^ { 2 } = 369x2−y2=36

Draw the graph of the equation. - x2+y−4=0x ^ { 2 } + y - 4 = 0x2+y−4=0

Write the indicated term of the binomial expansion. - (x+2y)11;9( x + 2 y ) ^ { 11 ; } 9(x+2y)11;9 th term

A railroad bridge is built over a V-shaped canyon. If the supports are 3 feet long at each end, the center support is 253 feet long, and the supports increase in length by 2 feet with each support (from 3 feet to 253 feet), What is the total length of all the supports?

Graph the solution region for the system of inequalities and identify the corners of the region. - {2y+x≥−2y+3x≤9y≤0,x≥0\left\{ \begin{array} { l } 2 y + x \geq - 2 \\y + 3 x \leq 9 \\y \leq 0 , x \geq 0\end{array} \right.⎩⎨⎧​2y+x≥−2y+3x≤9y≤0,x≥0​

Find the sum of the first 5 terms of the geometric sequence 4, 12, 36, . . . .

Write the equation for the shape described. -The circle with endpoints of a diameter at (2,9)( 2,9 )(2,9) and (6,1)( 6,1 )(6,1)

Write the equation of the circle with the given center and radius. -center (0,2)( 0,2 )(0,2) , radius 15\sqrt { 15 }15​

The population of a town was 27,600 when the first official population was recorded. If the population decreased 350 people per year, how many people lived in the town 15 years later?

Write the equation for the shape described. -The upper semicircle centered at (0, 0) with radius 3

Graph the solution region for the system of inequalities and identify the corners of the region. - {3x+2y≥−12x−2y≤−4y≤6\left\{ \begin{array} { l } 3 x + 2 y \geq - 12 \\x - 2 y \leq - 4 \\y \leq 6\end{array} \right.⎩⎨⎧​3x+2y≥−12x−2y≤−4y≤6​

Find the center and radius of the circle with the given equation. - (x+2.4)2+(y−34)2=4964( x + 2.4 ) ^ { 2 } + \left( y - \frac { 3 } { 4 } \right) ^ { 2 } = \frac { 49 } { 64 }(x+2.4)2+(y−43​)2=6449​

Find the next three terms of the arithmetic sequence. - 3,1,−1,…3,1 , - 1 , \ldots3,1,−1,…

Write the indicated term of the binomial expansion. - (5x+4)3( 5 x + 4 ) ^ { 3 }(5x+4)3 ; 3rd term

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

Graph. - $9 x ^ { 2 } - y ^ { 2 } = 36$ $Graph. - 9 x ^ { 2 } - y ^ { 2 } = 36$

Draw the graph of the equation. - $x ^ { 2 } + y - 4 = 0$ $Draw the graph of the equation. - x ^ { 2 } + y - 4 = 0$

Write the indicated term of the binomial expansion. - $( x + 2 y ) ^ { 11 ; } 9$ th term

Write the equation for the shape described. -The circle with endpoints of a diameter at $( 2,9 )$ and $( 6,1 )$

Write the equation of the circle with the given center and radius. -center $( 0,2 )$ , radius $\sqrt { 15 }$

Find the center and radius of the circle with the given equation. - $( x + 2.4 ) ^ { 2 } + \left( y - \frac { 3 } { 4 } \right) ^ { 2 } = \frac { 49 } { 64 }$

Find the next three terms of the arithmetic sequence. - $3,1 , - 1 , \ldots$

Write the indicated term of the binomial expansion. - $( 5 x + 4 ) ^ { 3 }$ ; 3rd term