Question 1

Sketch the graph of $C ( x ) = \sqrt { x } - 1$ .

Accepted Answer

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

Question 2

Determine which of the lines $L _ { 1 } , L _ { 2 }$ and $L _ { 3 }$ passing through the indicated pairs of points are perpendicular. 
$\begin{array} { | l | l | } 
\hline L _ { 1 } &\left(-1, \frac{4}{3}\right),\left(1, \frac{2}{3}\right)\
\hline L _ { 2 } &\left(1,-\frac{7}{6}\right),\left(4,-\frac{5}{3}\right) \
\hline L _ { 3 }& (-1,-4),(4,11) \
\hline
\end{array}$

Accepted Answer

A)  $L _ { 2 } \text { and } L _ { 3 }$ 
B)  $L _ { 1 } \text { and } L _ { 2 }$ 
C)  $L _ { 1 } \text { and } L _ { 3 }$ 
D) all are perpendicular 
E) none are perpendicular 
A)  $L _ { 2 } \text { and } L _ { 3 }$ 
B)  $L _ { 1 } \text { and } L _ { 2 }$ 
C)  $L _ { 1 } \text { and } L _ { 3 }$ 
D) all are perpendicular 
E) none are perpendicular

Question 3

Plot the points $( 0,2 ) , ( 0 , - 1 ) , ( - 3 , - 1 )$ and $( - 3,2 )$ . Find the square that is obtained by connecting the points with line segments.

Accepted Answer

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

Question 4

Write an equation in slope-intercept form for a line that passes through (5,-8) and is parallel to $5 x + 6 y = 21$ .

Accepted Answer

A)  $y = \frac { 6 } { 5 } x - \frac { 23 } { 6 }$ 
B)  $y = - \frac { 5 } { 6 } x - \frac { 23 } { 6 }$ 
C)  $y = \frac { 5 } { 6 } x + \frac { 23 } { 6 }$ 
D)  $y = - \frac { 5 } { 6 } x - \frac { 43 } { 6 }$ 
E)  $y = - \frac { 6 } { 5 } x - \frac { 23 } { 6 }$ 
A)  $y = \frac { 6 } { 5 } x - \frac { 23 } { 6 }$ 
B)  $y = - \frac { 5 } { 6 } x - \frac { 23 } { 6 }$ 
C)  $y = \frac { 5 } { 6 } x + \frac { 23 } { 6 }$ 
D)  $y = - \frac { 5 } { 6 } x - \frac { 43 } { 6 }$ 
E)  $y = - \frac { 6 } { 5 } x - \frac { 23 } { 6 }$

Question 5

If $f ( x ) = \frac { x } { x + 6 }$ , find $f ( s - 6 )$ .

Accepted Answer

A)  $f ( s - 6 ) = \frac { s - 6 } { s }$ 
B)  $f ( s - 6 ) = \frac { s + 6 } { s + 12 }$ 
C)  $f ( s - 6 ) = \frac { - s - 6 } { s }$ 
D)  $f ( s - 6 ) = \frac { s + 6 } { s }$ 
E)  $f ( s - 6 ) = \frac { s - 6 } { s + 12 }$ 
A)  $f ( s - 6 ) = \frac { s - 6 } { s }$ 
B)  $f ( s - 6 ) = \frac { s + 6 } { s + 12 }$ 
C)  $f ( s - 6 ) = \frac { - s - 6 } { s }$ 
D)  $f ( s - 6 ) = \frac { s + 6 } { s }$ 
E)  $f ( s - 6 ) = \frac { s - 6 } { s + 12 }$

Question 6

A football quarterback throws a pass from the 10 -yardline, 10 yards from the sideline. The pass is caught by the wide receiver at the 48 -yardline, 31 yards from the same sideline. How long is the pass (in yards)? Round your answer to two decimal places.

Accepted Answer

A)  21.00 yards 
B)  49.04 yards 
C)  43.42 yards 
D)  38.00 yards 
E)  52.39 yards 
A)  21.00 yards 
B)  49.04 yards 
C)  43.42 yards 
D)  38.00 yards 
E)  52.39 yards

Question 7

Match the function $f ( x ) = x ^ { 2 } - 3$ with its graph.

Accepted Answer

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

Question 8

Determine if the table represents a function. 
$\begin{array} { | c | c | } 
\hline \text { Inputvalue, } x & \text { Outputvalue, } y \
\hline 0 & - 10 \
\hline 1 & 11 \
\hline 2 & 7 \
\hline 1 & - 5 \
\hline 0 & - 7 \
\hline
\end{array}$

Accepted Answer

A) The relation does not represent a function. 
B) The relation represents a function. 
A) The relation does not represent a function. 
B) The relation represents a function.

Question 9

Write an equation of the line through the point (-3,-5) that is parallel to the line $7 x + 3 y = - 8$ .

Accepted Answer

A)  $- 7 x - 3 y = - 36$ 
B)  $7 x + 3 y = - 36$ 
C)  $7 x - 3 y = - 6$ 
D)  $3 x + 7 y = - 44$ 
E)  $3 x - 7 y = 26$ 
A)  $- 7 x - 3 y = - 36$ 
B)  $7 x + 3 y = - 36$ 
C)  $7 x - 3 y = - 6$ 
D)  $3 x + 7 y = - 44$ 
E)  $3 x - 7 y = 26$

Question 10

Sketch the graph of the line through the point (1, 2)with slope m=3 .

Accepted Answer

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

Question 11

Write an equation in slope-intercept form of the line that passes through the point (0,9) and has a slope of $m = \frac { 1 } { 5 }$ .

Accepted Answer

A)  $y = \frac { 1 } { 5 } x + 9$ 
B)  $y = \frac { 1 } { 5 } x + \frac { 5 } { 9 }$ 
C)  $y = \frac { 1 } { 5 } x - 9$ 
D)  $y = \frac { 1 } { 5 } x + \frac { 9 } { 5 }$ 
E)  $y = - \frac { 1 } { 5 } x + 9$ 
A)  $y = \frac { 1 } { 5 } x + 9$ 
B)  $y = \frac { 1 } { 5 } x + \frac { 5 } { 9 }$ 
C)  $y = \frac { 1 } { 5 } x - 9$ 
D)  $y = \frac { 1 } { 5 } x + \frac { 9 } { 5 }$ 
E)  $y = - \frac { 1 } { 5 } x + 9$

Question 12

Determine which of the points is not a solution of the inequality $10 x + 3 y < 25$ .

Accepted Answer

A)  (4,-5) 
B)  (-10,-3) 
C)  (0,0) 
D)  (5,-3) 
E)  (3,-3) 
A)  (4,-5) 
B)  (-10,-3) 
C)  (0,0) 
D)  (5,-3) 
E)  (3,-3)

Question 13

Estimate the x - and y -intercepts of the graph.

Accepted Answer

A) x -intercept: -2 y -intercept: 1 
B) x -intercept: 2 y -intercept: -1 
C) x -intercept: -1 y -intercept: 2 
D) x -intercept: 2 y -intercept: 1 
E) x -intercept: 1 y -intercept: 2 
A) x -intercept: -2 y -intercept: 1 
B) x -intercept: 2 y -intercept: -1 
C) x -intercept: -1 y -intercept: 2 
D) x -intercept: 2 y -intercept: 1 
E) x -intercept: 1 y -intercept: 2

Question 14

Write the general form of the equation of the line that passes through (5,3) and (4,7) .

Accepted Answer

A)  $- 4 x - y = 0$ 
B)  $4 x - y = 23$ 
C)  $- 4 x - y = - 23$ 
D)  $- 4 x + y = - 23$ 
E)  $- x - 4 y = - 23$ 
A)  $- 4 x - y = 0$ 
B)  $4 x - y = 23$ 
C)  $- 4 x - y = - 23$ 
D)  $- 4 x + y = - 23$ 
E)  $- x - 4 y = - 23$

Question 15

Write the equation of the line that passes through the point (1,-1) and has slope m=5 . Write the equation in general form.

Accepted Answer

A)  $- 5 x + y - 4 = 0$ 
B)  $- 5 x + y + 6 = 0$ 
C)  $5 x + y - 4 = 0$ 
D)  $x + 5 y + 6 = 0$ 
E)  $5 x + y + 6 = 0$ 
A)  $- 5 x + y - 4 = 0$ 
B)  $- 5 x + y + 6 = 0$ 
C)  $5 x + y - 4 = 0$ 
D)  $x + 5 y + 6 = 0$ 
E)  $5 x + y + 6 = 0$

Question 16

Find the slope (if possible)of the line passing through the points $\left( \frac { 4 } { 5 } , - \frac { 7 } { 8 } \right)$ and $\left( - \frac { 5 } { 3 } , - 6 \right)$ .

Accepted Answer

A)  $\frac { 296 } { 615 }$ 
B)  $\frac { 615 } { 296 }$ 
C)  -$\frac { 615 } { 296 }$ 
D)  -$\frac { 296 } { 615 }$ 
E) not possible 
A)  $\frac { 296 } { 615 }$ 
B)  $\frac { 615 } { 296 }$ 
C)  -$\frac { 615 } { 296 }$ 
D)  -$\frac { 296 } { 615 }$ 
E) not possible

Question 17

Identify the line in the figure that has slope m=0.

Accepted Answer

A)  $L_{1}$ 
B)   $L_{3}$ 
C)   $L_{2}$ 
D)   $L_{4}$ 
E) none 
A)  $L_{1}$ 
B)   $L_{3}$ 
C)   $L_{2}$ 
D)   $L_{4}$ 
E) none

Question 18

Write an equation of the line through the point (4,-4) that is perpendicular to the line $7 x - 5 y = - 9$ .

Accepted Answer

A)  $7 x + 5 y = 8$ 
B)  $- 7 x + 5 y = - 9$ 
C)  $- 5 x - 7 y = 8$ 
D)  $- 5 x + 7 y = - 48$ 
E)  $7 x - 5 y = 48$ 
A)  $7 x + 5 y = 8$ 
B)  $- 7 x + 5 y = - 9$ 
C)  $- 5 x - 7 y = 8$ 
D)  $- 5 x + 7 y = - 48$ 
E)  $7 x - 5 y = 48$

Question 19

Find the slope (if possible)of the line passing through the points (-6,2) and $( - 7 , - 6 )$ .

Accepted Answer

A)  $- \frac { 1 } { 8 }$ 
B) 8 
C) -8 
D)  $\frac { 1 } { 8 }$ 
E) not possible 
A)  $- \frac { 1 } { 8 }$ 
B) 8 
C) -8 
D)  $\frac { 1 } { 8 }$ 
E) not possible

Question 20

Write $8 x - 6 y + 1 = 0$ in slope-intercept form.

Accepted Answer

A)  $y = \frac { 4 } { 3 } x + \frac { 1 } { 6 }$ 
B)  $y = \frac { 3 } { 4 } x + \frac { 1 } { 6 }$ 
C)  $y = \frac { 4 } { 3 } x - \frac { 1 } { 6 }$ 
D)  $y = - \frac { 4 } { 3 } x + \frac { 1 } { 6 }$ 
E)  $y = \frac { 4 } { 3 } x + 1$ 
A)  $y = \frac { 4 } { 3 } x + \frac { 1 } { 6 }$ 
B)  $y = \frac { 3 } { 4 } x + \frac { 1 } { 6 }$ 
C)  $y = \frac { 4 } { 3 } x - \frac { 1 } { 6 }$ 
D)  $y = - \frac { 4 } { 3 } x + \frac { 1 } { 6 }$ 
E)  $y = \frac { 4 } { 3 } x + 1$

Sketch the graph of $C ( x ) = \sqrt { x } - 1$ .

Determine which of the lines $L _ { 1 } , L _ { 2 }$ and $L _ { 3 }$ passing through the indicated pairs of points are perpendicular. -1, , 1, 1,- , 4,- (-1,-4),(4,11)

Plot the points $( 0,2 ) , ( 0 , - 1 ) , ( - 3 , - 1 )$ and $( - 3,2 )$ . Find the square that is obtained by connecting the points with line segments.

Write an equation in slope-intercept form for a line that passes through (5,-8) and is parallel to $5 x + 6 y = 21$ .

If $f ( x ) = \frac { x } { x + 6 }$ , find $f ( s - 6 )$ .

A football quarterback throws a pass from the 10 -yardline, 10 yards from the sideline. The pass is caught by the wide receiver at the 48 -yardline, 31 yards from the same sideline. How long is the pass (in yards)? Round your answer to two decimal places.

Match the function $f ( x ) = x ^ { 2 } - 3$ with its graph.

Determine if the table represents a function. Inputvalue, x Outputvalue, y 0 -10 1 11 2 7 1 -5 0 -7

Write an equation of the line through the point (-3,-5) that is parallel to the line $7 x + 3 y = - 8$ .

Sketch the graph of the line through the point (1, 2)with slope m=3 .

Write an equation in slope-intercept form of the line that passes through the point (0,9) and has a slope of $m = \frac { 1 } { 5 }$ .

Determine which of the points is not a solution of the inequality $10 x + 3 y < 25$ .

Estimate the x - and y -intercepts of the graph.

Write the general form of the equation of the line that passes through (5,3) and (4,7) .

Write the equation of the line that passes through the point (1,-1) and has slope m=5 . Write the equation in general form.

Find the slope (if possible)of the line passing through the points $\left( \frac { 4 } { 5 } , - \frac { 7 } { 8 } \right)$ and $\left( - \frac { 5 } { 3 } , - 6 \right)$ .

Identify the line in the figure that has slope m=0.

Write an equation of the line through the point (4,-4) that is perpendicular to the line $7 x - 5 y = - 9$ .

Find the slope (if possible)of the line passing through the points (-6,2) and $( - 7 , - 6 )$ .

Write $8 x - 6 y + 1 = 0$ in slope-intercept form.

Fundamentals of Algebra

Linear Equations and Inequalities

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Exam 3: Graphs and Functions

Sketch the graph of C(x)=x−1C ( x ) = \sqrt { x } - 1C(x)=x​−1 .

Determine which of the lines L1,L2L _ { 1 } , L _ { 2 }L1​,L2​ and L3L _ { 3 }L3​ passing through the indicated pairs of points are perpendicular. -1, , 1, 1,- , 4,- (-1,-4),(4,11)

Plot the points (0,2),(0,−1),(−3,−1)( 0,2 ) , ( 0 , - 1 ) , ( - 3 , - 1 )(0,2),(0,−1),(−3,−1) and (−3,2)( - 3,2 )(−3,2) . Find the square that is obtained by connecting the points with line segments.

Write an equation in slope-intercept form for a line that passes through (5,-8) and is parallel to 5x+6y=215 x + 6 y = 215x+6y=21 .

If f(x)=xx+6f ( x ) = \frac { x } { x + 6 }f(x)=x+6x​ , find f(s−6)f ( s - 6 )f(s−6) .

A football quarterback throws a pass from the 10 -yardline, 10 yards from the sideline. The pass is caught by the wide receiver at the 48 -yardline, 31 yards from the same sideline. How long is the pass (in yards)? Round your answer to two decimal places.

Match the function f(x)=x2−3f ( x ) = x ^ { 2 } - 3f(x)=x2−3 with its graph.

Determine if the table represents a function. Inputvalue, x Outputvalue, y 0 -10 1 11 2 7 1 -5 0 -7

Write an equation of the line through the point (-3,-5) that is parallel to the line 7x+3y=−87 x + 3 y = - 87x+3y=−8 .

Sketch the graph of the line through the point (1, 2)with slope m=3 .

Write an equation in slope-intercept form of the line that passes through the point (0,9) and has a slope of m=15m = \frac { 1 } { 5 }m=51​ .

Determine which of the points is not a solution of the inequality 10x+3y<2510 x + 3 y < 2510x+3y<25 .

Estimate the x - and y -intercepts of the graph.

Write the general form of the equation of the line that passes through (5,3) and (4,7) .

Write the equation of the line that passes through the point (1,-1) and has slope m=5 . Write the equation in general form.

Find the slope (if possible)of the line passing through the points (45,−78)\left( \frac { 4 } { 5 } , - \frac { 7 } { 8 } \right)(54​,−87​) and (−53,−6)\left( - \frac { 5 } { 3 } , - 6 \right)(−35​,−6) .

Identify the line in the figure that has slope m=0.

Write an equation of the line through the point (4,-4) that is perpendicular to the line 7x−5y=−97 x - 5 y = - 97x−5y=−9 .

Find the slope (if possible)of the line passing through the points (-6,2) and (−7,−6)( - 7 , - 6 )(−7,−6) .

Write 8x−6y+1=08 x - 6 y + 1 = 08x−6y+1=0 in slope-intercept form.

Fundamentals of Algebra

Linear Equations and Inequalities

Systems of Equations and Inequalities

Polynomials and Factoring

Rational Expressions, Equations, and Functions

Radicals and Complex Numbers

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conics

Sequences, Series, and the Binomial Theorem

Filters

Sketch the graph of $C ( x ) = \sqrt { x } - 1$ .

Determine which of the lines $L _ { 1 } , L _ { 2 }$ and $L _ { 3 }$ passing through the indicated pairs of points are perpendicular. -1, , 1, 1,- , 4,- (-1,-4),(4,11)

Plot the points $( 0,2 ) , ( 0 , - 1 ) , ( - 3 , - 1 )$ and $( - 3,2 )$ . Find the square that is obtained by connecting the points with line segments.

Write an equation in slope-intercept form for a line that passes through (5,-8) and is parallel to $5 x + 6 y = 21$ .

If $f ( x ) = \frac { x } { x + 6 }$ , find $f ( s - 6 )$ .

Match the function $f ( x ) = x ^ { 2 } - 3$ with its graph.

Write an equation of the line through the point (-3,-5) that is parallel to the line $7 x + 3 y = - 8$ .

Write an equation in slope-intercept form of the line that passes through the point (0,9) and has a slope of $m = \frac { 1 } { 5 }$ .

Determine which of the points is not a solution of the inequality $10 x + 3 y < 25$ .

Find the slope (if possible)of the line passing through the points $\left( \frac { 4 } { 5 } , - \frac { 7 } { 8 } \right)$ and $\left( - \frac { 5 } { 3 } , - 6 \right)$ .

Write an equation of the line through the point (4,-4) that is perpendicular to the line $7 x - 5 y = - 9$ .

Find the slope (if possible)of the line passing through the points (-6,2) and $( - 7 , - 6 )$ .

Write $8 x - 6 y + 1 = 0$ in slope-intercept form.