Question 1

If y varies inversely as x, find the inverse variation equation for the situation.
-$y = 7$ when $x = 3$

Accepted Answer

A)  $y = \frac { 7 } { 3 } x$ 
B)  $y = \frac { 1 } { 21 x }$ 
C)  $y = \frac { x } { 21 }$ 
D)  $y = \frac { 21 } { x }$ 
A)  $y = \frac { 7 } { 3 } x$ 
B)  $y = \frac { 1 } { 21 x }$ 
C)  $y = \frac { x } { 21 }$ 
D)  $y = \frac { 21 } { x }$ D

Question 2

Find the square root.
-$\sqrt { \frac { 25 } { 49 } }$

Accepted Answer

A)  $- \frac { 25 } { 7 }$ 
B)  $- \frac { 5 } { 7 }$ 
C)  $- \frac { 5 } { 49 }$ 
D)  $\frac { 5 } { 7 }$ 
A)  $- \frac { 25 } { 7 }$ 
B)  $- \frac { 5 } { 7 }$ 
C)  $- \frac { 5 } { 49 }$ 
D)  $\frac { 5 } { 7 }$ B

Question 3

Find the variation equation for the variation statement.
-$y$ varies directly as the square of $x ; y = 150$ when $x = 5$

Accepted Answer

A)  $y = 25 x$ 
B)  $y = 150 x$ 
C)  $y = 30 x$ 
D)  $y = 6 x ^ { 2 }$ 
A)  $y = 25 x$ 
B)  $y = 150 x$ 
C)  $y = 30 x$ 
D)  $y = 6 x ^ { 2 }$ D

Question 4

Find an equation of the line. Write the equation using function notation.
-Through $( 5,1 )$; perpendicular to $x - 3 y = 3$

Accepted Answer

A)  $f ( x ) = - \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
B)  $f ( x ) = - 3 x + 16$ 
C)  $f ( x ) = \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
D)  $f ( x ) = - 3 x + 14$ 
A)  $f ( x ) = - \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
B)  $f ( x ) = - 3 x + 16$ 
C)  $f ( x ) = \frac { 1 } { 3 } x + \frac { 8 } { 3 }$ 
D)  $f ( x ) = - 3 x + 14$

Question 5

Solve.
-An investment is worth $\$ 3358$ in 2006. By 2011 it has grown to $\$ 6193$. Let y be the value of the investment in the year $x$, where $x = 0$ represents 2006 . Write a linear equation that relates value $y$ to year x.

Accepted Answer

A)  $y = \frac { 1 } { 567 } x + 3358$ 
B)  $y = - 567 x + 9028$ 
C)  $y = - 567 x + 3358$ 
D)  $y = 567 x + 3358$ 
A)  $y = \frac { 1 } { 567 } x + 3358$ 
B)  $y = - 567 x + 9028$ 
C)  $y = - 567 x + 3358$ 
D)  $y = 567 x + 3358$

Question 6

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { slope-intercept } & \text { directly } & \text { slope } \
\text { jointly } & \text { parallel } & \text { perpendicular } \
\text { function } & \text { inversely } & \text { linear function }
\end{array}$$
-A(n) -----------is a relation in which each first component in the ordered pairs corresponds to exactly one second component.

Accepted Answer

A)  function 
B)  parallel 
C)  slope-intercept 
D)  slope 
A)  function 
B)  parallel 
C)  slope-intercept 
D)  slope

Question 7

Solve the problem.
-Line $L _ { 1 }$ has the equation $8 x - 16 y = 1$. Line $L _ { 2 }$ passes through the points $( 1,5 )$ and $( 2,7 )$. Determine whether these lines are parallel, perpendicular, or neither.

Accepted Answer

A)  Parallel 
B)  Perpendicular 
C)  Neither 
A)  Parallel 
B)  Perpendicular 
C)  Neither

Question 8

Use the given graph of the function.
-If $f ( 4 ) = 6$, write the corresponding ordered pair.

Accepted Answer

A)  $( 4,6 )$ 
B)  $( 0,6 )$ 
C)  $( 6,4 )$ 
D)  $( 4,0 )$ 
A)  $( 4,6 )$ 
B)  $( 0,6 )$ 
C)  $( 6,4 )$ 
D)  $( 4,0 )$

Question 9

Solve.
-The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear function $\mathrm { h } ( \mathrm { t } ) = 800 \mathrm { t } + 3173$, where $\mathrm { h } ( \mathrm { t } )$ is in feet and $\mathrm { t }$ is the time in minutes since take-off. Find the altitude of the airplane after 4 minutes.

Accepted Answer

A)  6273 feet 
B)  3200 feet 
C)  6473 feet 
D)  6373 feet 
A)  6273 feet 
B)  3200 feet 
C)  6473 feet 
D)  6373 feet

Question 10

Find an equation of the line satisfying the given conditions. Write the equation in standard form.
-Through (-3, -9); slope 5

Accepted Answer

A)  x + 5y = -6 
B)  x - 5y = 6 
C)  5x - y = 6 
D)  -5x + y = 6 
A)  x + 5y = -6 
B)  x - 5y = 6 
C)  5x - y = 6 
D)  -5x + y = 6

Question 11

Solve.
-If the voltage, $\mathrm { V }$, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 420 milliamperes when the resistance is $2 \mathrm { ohms }$, find the current when the resistance is $12 \mathrm { ohms }$.

Accepted Answer

A)  2514 milliamperes 
B)  70 milliamperes 
C)  2520 milliamperes 
D)  140 milliamperes 
A)  2514 milliamperes 
B)  70 milliamperes 
C)  2520 milliamperes 
D)  140 milliamperes

Question 12

Find an equation of the line. Write the equation using function notation.
-$( 2,26 ) , ( 6,58 )$

Accepted Answer

A)  $f ( x ) = \frac { 1 } { 8 } x + \frac { 103 } { 4 }$ 
B)  $f ( x ) = - 8 x + 42$ 
C)  $y = 8 x + 10$ 
D)  $f ( x ) = 8 x + 10$ 
A)  $f ( x ) = \frac { 1 } { 8 } x + \frac { 103 } { 4 }$ 
B)  $f ( x ) = - 8 x + 42$ 
C)  $y = 8 x + 10$ 
D)  $f ( x ) = 8 x + 10$

Question 13

Graph the function.
-$f(x)=-|x+4|$

Accepted Answer

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

Question 14

Write an equation to describe the variation. Use k for the constant of proportionality.
-$w$ varies jointly as $x$ and the cube of $y$.

Accepted Answer

A)  $w = k + x + y ^ { 3 }$ 
B)  $w = k x y ^ { 3 }$ 
C)  $w + x + y ^ { 3 } = k$ 
D)  $w x y ^ { 3 } = k$ 
A)  $w = k + x + y ^ { 3 }$ 
B)  $w = k x y ^ { 3 }$ 
C)  $w + x + y ^ { 3 } = k$ 
D)  $w x y ^ { 3 } = k$

Question 15

Find the domain and range of the relation. Also determine whether the relation is a function.
-

Accepted Answer

A)  domain: $[ - 4 , \infty )$; range: $( - \infty , \infty )$; not a function 
B)  domain: $( - \infty , \infty )$; range: $( - , - 4 ]$; function 
C)  domain: $( - \infty , \infty )$; range: $[ - 4 , \infty )$; function 
D)  domain: $( - \infty , \infty )$; range: $[ - 4 , \infty )$; not a function 
A)  domain: $[ - 4 , \infty )$; range: $( - \infty , \infty )$; not a function 
B)  domain: $( - \infty , \infty )$; range: $( - , - 4 ]$; function 
C)  domain: $( - \infty , \infty )$; range: $[ - 4 , \infty )$; function 
D)  domain: $( - \infty , \infty )$; range: $[ - 4 , \infty )$; not a function

Question 16

Find the square root.
-$\sqrt { \frac { 1 } { 64 } }$

Accepted Answer

A)  64 
B)  8 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 4096 }$ 
A)  64 
B)  8 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 1 } { 4096 }$

Question 17

Find the equation of the line. Write the equation using standard notation.
-Through $( 3,5 )$; parallel to the line $8 x + 5 y = 5$

Accepted Answer

A)  $5 x + 8 y = 49$ 
B)  $8 x + 5 y = 49$ 
C)  $8 x - 5 y = 49$ 
D)  $5 x - 8 y = 49$ 
A)  $5 x + 8 y = 49$ 
B)  $8 x + 5 y = 49$ 
C)  $8 x - 5 y = 49$ 
D)  $5 x - 8 y = 49$

Question 18

Write an equation to describe the variation. Use k for the constant of proportionality.
-a varies inversely as $w$

Accepted Answer

A)  $a = \frac { k } { w }$ 
B)  $a = \frac { w } { k }$ 
C)  $w = \frac { a } { k }$ 
D)  $w = k a$ 
A)  $a = \frac { k } { w }$ 
B)  $a = \frac { w } { k }$ 
C)  $w = \frac { a } { k }$ 
D)  $w = k a$

Question 19

Solve.
-In 2005, John invested $19,000 in the stock market. By 2010 his investment had grown to $23,700. Find an equation relating time and the value of the investment. If the market continues to grow at
The same rate, how much will be in his account in 2017? Round to the nearest dollar.

Accepted Answer

A)  $28,400 
B)  $30,280 
C)  $25,581 
D)  $23,701 
A)  $28,400 
B)  $30,280 
C)  $25,581 
D)  $23,701

Question 20

Graph the function.
-$h(x)=|x|-4$

Accepted Answer

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

If y varies inversely as x, find the inverse variation equation for the situation. - $y = 7$ when $x = 3$

Find the square root. - $\sqrt { \frac { 25 } { 49 } }$

Find the variation equation for the variation statement. - $y$ varies directly as the square of $x ; y = 150$ when $x = 5$

Find an equation of the line. Write the equation using function notation. -Through $( 5,1 )$ ; perpendicular to $x - 3 y = 3$

Solve. -An investment is worth $\$ 3358$ in 2006. By 2011 it has grown to $\$ 6193$ . Let y be the value of the investment in the year $x$ , where $x = 0$ represents 2006 . Write a linear equation that relates value $y$ to year x.

Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -A(n) -----------is a relation in which each first component in the ordered pairs corresponds to exactly one second component.

Solve the problem. -Line $L _ { 1 }$ has the equation $8 x - 16 y = 1$ . Line $L _ { 2 }$ passes through the points $( 1,5 )$ and $( 2,7 )$ . Determine whether these lines are parallel, perpendicular, or neither.

Use the given graph of the function. -If $f ( 4 ) = 6$ , write the corresponding ordered pair.

Find an equation of the line satisfying the given conditions. Write the equation in standard form. -Through (-3, -9); slope 5

Solve. -If the voltage, $\mathrm { V }$ , in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If the current is 420 milliamperes when the resistance is $2 \mathrm { ohms }$ , find the current when the resistance is $12 \mathrm { ohms }$ .

Find an equation of the line. Write the equation using function notation. - $( 2,26 ) , ( 6,58 )$

Graph the function. - $f(x)=-|x+4|$

Write an equation to describe the variation. Use k for the constant of proportionality. - $w$ varies jointly as $x$ and the cube of $y$ .

Find the domain and range of the relation. Also determine whether the relation is a function. -

Find the square root. - $\sqrt { \frac { 1 } { 64 } }$

Find the equation of the line. Write the equation using standard notation. -Through $( 3,5 )$ ; parallel to the line $8 x + 5 y = 5$

Write an equation to describe the variation. Use k for the constant of proportionality. -a varies inversely as $w$

Solve. -In 2005, John invested $19,000 in the stock market. By 2010 his investment had grown to $23,700. Find an equation relating time and the value of the investment. If the market continues to grow at The same rate, how much will be in his account in 2017? Round to the nearest dollar.

Graph the function. - $h(x)=|x|-4$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 8: More on Functions and Graphs

If y varies inversely as x, find the inverse variation equation for the situation. - y=7y = 7y=7 when x=3x = 3x=3

Find the square root. - 2549\sqrt { \frac { 25 } { 49 } }4925​​

Find the variation equation for the variation statement. - yyy varies directly as the square of x;y=150x ; y = 150x;y=150 when x=5x = 5x=5

Find an equation of the line. Write the equation using function notation. -Through (5,1)( 5,1 )(5,1) ; perpendicular to x−3y=3x - 3 y = 3x−3y=3

Solve. -An investment is worth $3358\$ 3358$3358 in 2006. By 2011 it has grown to $6193\$ 6193$6193 . Let y be the value of the investment in the year xxx , where x=0x = 0x=0 represents 2006 . Write a linear equation that relates value yyy to year x.