Question 1

Determine whether the graph is the graph of a function.
-

Accepted Answer

A) True 
 B)False

Question 2

Find the intercepts and then graph the line.
-9y - 3x = -6

Accepted Answer

A)  $\left( 0 , - \frac { 2 } { 3 } \right) ; ( 2,0 )$
  
B)  $\left( 0 , \frac { 2 } { 3 } \right) ; ( - 2,0 )$
  
C)  $\left( 0 , \frac { 2 } { 3 } \right) ; ( 2,0 )$
  
D)  $\left( 0 , - \frac { 2 } { 3 } \right) ; ( - 2,0 )$
  
A)  $\left( 0 , - \frac { 2 } { 3 } \right) ; ( 2,0 )$
  
B)  $\left( 0 , \frac { 2 } { 3 } \right) ; ( - 2,0 )$
  
C)  $\left( 0 , \frac { 2 } { 3 } \right) ; ( 2,0 )$
  
D)  $\left( 0 , - \frac { 2 } { 3 } \right) ; ( - 2,0 )$

Question 3

Find an equation of the line containing the given pair of points
-$\left( 1 , \frac { 5 } { 8 } \right)$ and $\left( 8 , \frac { 3 } { 2 } \right)$

Accepted Answer

A)  $y = 8 x - 4$ 
B)  $y = \frac { 1 } { 8 } x + \frac { 1 } { 2 }$ 
C)  $y = 8 x - \frac { 59 } { 8 }$ 
D)  $y = \frac { 1 } { 8 } x + \frac { 59 } { 64 }$ 
A)  $y = 8 x - 4$ 
B)  $y = \frac { 1 } { 8 } x + \frac { 1 } { 2 }$ 
C)  $y = 8 x - \frac { 59 } { 8 }$ 
D)  $y = \frac { 1 } { 8 } x + \frac { 59 } { 64 }$

Question 4

Provide an appropriate response.
-Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

Accepted Answer

When x < 0, then y < 0 and the graph con

Question 5

Tell whether the lines are "parallel", "perpendicular", or "neither."
-$$\begin{array} { l } 
y + 7 = - 4 x \
5 y = 20 x - 8
\end{array}$$

Accepted Answer

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

Question 6

Find an equation of the line containing the given pair of points
-$\left( \frac { 1 } { 5 } , \frac { 3 } { 5 } \right)$ and $\left( - \frac { 1 } { 10 } , \frac { 1 } { 10 } \right)$

Accepted Answer

A)  $y = - \frac { 5 } { 3 } x$ 
B)  $y = \frac { 5 } { 3 } x + \frac { 4 } { 15 }$ 
C)  $y = \frac { 5 } { 3 } x - \frac { 2 } { 15 }$ 
D)  $y = \frac { 5 } { 3 } x$ 
A)  $y = - \frac { 5 } { 3 } x$ 
B)  $y = \frac { 5 } { 3 } x + \frac { 4 } { 15 }$ 
C)  $y = \frac { 5 } { 3 } x - \frac { 2 } { 15 }$ 
D)  $y = \frac { 5 } { 3 } x$

Question 7

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in
slope-intercept form.
-m = 1.1; (7, -2)

Accepted Answer

A) y = 1.1x + 5.7 
B) y = 1.1x - 9.7 
C) y = 1.1x - 5.7 
D) y = 1.1x + 9.7 
A) y = 1.1x + 5.7 
B) y = 1.1x - 9.7 
C) y = 1.1x - 5.7 
D) y = 1.1x + 9.7

Question 8

For the function represented in the graph, determine the domain or range, as requested.
-Find the domain.

Accepted Answer

A)  $\{ - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
B)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
C)  $\{ x \mid - 4 \leq x \leq 4 \}$ 
D)  $\{ x \mid - 3 \leq x \leq 3 \}$ 
A)  $\{ - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
B)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
C)  $\{ x \mid - 4 \leq x \leq 4 \}$ 
D)  $\{ x \mid - 3 \leq x \leq 3 \}$

Question 9

If possible, determine the slope.
-$$y = - \frac { 1 } { 6 }$$

Accepted Answer

A)  $- 6$ 
B)  Not defined 
C)  $- \frac { 1 } { 6 }$ 
D)  0 
A)  $- 6$ 
B)  Not defined 
C)  $- \frac { 1 } { 6 }$ 
D)  0

Question 10

For the function represented in the graph, determine the domain or range, as requested.
-Find the range.

Accepted Answer

A)  $\{ x \mid - 1 \leq x \leq 1 \}$ 
B)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3,4,5 \}$ 
C)  $\{ x \mid 1 \leq x \leq - 1 \}$ 
D)  $\{ x \mid - 4 \leq x \leq 1 \}$ 
A)  $\{ x \mid - 1 \leq x \leq 1 \}$ 
B)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3,4,5 \}$ 
C)  $\{ x \mid 1 \leq x \leq - 1 \}$ 
D)  $\{ x \mid - 4 \leq x \leq 1 \}$

Question 11

Graph the function.
-$(x)=|x|-1$

Accepted Answer

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

Question 12

Find the domain.
-$$f ( x ) = x ^ { 2 } + 7$$

Accepted Answer

A)  $\{ x \mid x$ is a real number and $x \neq \sqrt { 7 } \}$ 
B)  $\{ x \mid x$ is a real number and $x \neq - 7 \}$ 
C)  $\{ x \mid x$ is a real number and $x \neq 7 \}$ 
D)  All real numbers 
A)  $\{ x \mid x$ is a real number and $x \neq \sqrt { 7 } \}$ 
B)  $\{ x \mid x$ is a real number and $x \neq - 7 \}$ 
C)  $\{ x \mid x$ is a real number and $x \neq 7 \}$ 
D)  All real numbers

Question 13

Solve.
-The surface area a of a cylinder is shown in the graph below. What is the radius if the surface area is $30 \mathrm {~m} ^ { 2 }$ ?
Surface Area (in $\mathrm { m } ^ { 2 }$ )
 
Height (in ft)

Accepted Answer

A) 1.6 m 
B) 1.2 m 
C) 1.4 m 
D) 1.0 m 
A) 1.6 m 
B) 1.2 m 
C) 1.4 m 
D) 1.0 m

Question 14

Find a linear function whose graph has the given slope and y-intercept.
-Slope 3, y-intercept $\left( 0 , - \frac { 5 } { 6 } \right)$

Accepted Answer

A)  $f ( x ) = - \frac { 5 } { 6 } x - 3$ 
B)  $f ( x ) = 3 x + \frac { 5 } { 6 }$ 
C)  $f ( x ) = - \frac { 5 } { 6 } x + 3$ 
D)  $f ( x ) = 3 x - \frac { 5 } { 6 }$ 
A)  $f ( x ) = - \frac { 5 } { 6 } x - 3$ 
B)  $f ( x ) = 3 x + \frac { 5 } { 6 }$ 
C)  $f ( x ) = - \frac { 5 } { 6 } x + 3$ 
D)  $f ( x ) = 3 x - \frac { 5 } { 6 }$

Question 15

Find a linear function whose graph has the given slope and y-intercept.
-Slope $- \frac { 6 } { 5 } , y - i n t e r c e p t ( 0,8 )$

Accepted Answer

A)  $f ( x ) = \frac { 6 } { 5 } x - 8$ 
B)  $f ( x ) = - \frac { 6 } { 5 } x + 8$ 
C)  $f ( x ) = - \frac { 6 } { 5 } x - 8$ 
D)  $f ( x ) = \frac { 6 } { 5 } x + 8$ 
A)  $f ( x ) = \frac { 6 } { 5 } x - 8$ 
B)  $f ( x ) = - \frac { 6 } { 5 } x + 8$ 
C)  $f ( x ) = - \frac { 6 } { 5 } x - 8$ 
D)  $f ( x ) = \frac { 6 } { 5 } x + 8$

Question 16

For the function represented in the graph, determine the domain or range, as requested.
-Find the range.

Accepted Answer

A)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 3 \}$ 
C)  $\{ - 4 , - 3 , - 2 , - 1,0,1,2,3,4 \}$ 
D)  $\{ x \mid - 5 \leq x \leq 3 \}$ 
A)  $\{ - 5 , - 4 , - 3 , - 2 , - 1,0,1,2,3 \}$ 
B)  $\{ x \mid - 3 \leq x \leq 3 \}$ 
C)  $\{ - 4 , - 3 , - 2 , - 1,0,1,2,3,4 \}$ 
D)  $\{ x \mid - 5 \leq x \leq 3 \}$

Question 17

Graph.
-y = -1

Accepted Answer

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

Question 18

Solve.
-The graph shows the relationship between the area $\mathrm { A }$ of a rectangle and the length $\mathrm { L }$, if the width is fixed. Find the area if the length is $7 \mathrm {~cm}$.

Accepted Answer

A)  $63 \mathrm {~cm} ^ { 2 }$ 
B)  $28 \mathrm {~cm} ^ { 2 }$ 
C)  $35 \mathrm {~cm} ^ { 2 }$ 
D)  $49 \mathrm {~cm} ^ { 2 }$ 
A)  $63 \mathrm {~cm} ^ { 2 }$ 
B)  $28 \mathrm {~cm} ^ { 2 }$ 
C)  $35 \mathrm {~cm} ^ { 2 }$ 
D)  $49 \mathrm {~cm} ^ { 2 }$

Question 19

Graph.
-y + 3 = 0

Accepted Answer

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

Question 20

Solve.
-The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after 2.2 seconds?

Accepted Answer

A) 300 ft 
B) 350 ft 
C) 275 ft 
D) 325 ft 
A) 300 ft 
B) 350 ft 
C) 275 ft 
D) 325 ft

Determine whether the graph is the graph of a function. -

Find the intercepts and then graph the line. -9y - 3x = -6

Find an equation of the line containing the given pair of points - $\left( 1 , \frac { 5 } { 8 } \right)$ and $\left( 8 , \frac { 3 } { 2 } \right)$

Provide an appropriate response. -Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

Tell whether the lines are "parallel", "perpendicular", or "neither." - y+7=-4x 5y=20x-8

Find an equation of the line containing the given pair of points - $\left( \frac { 1 } { 5 } , \frac { 3 } { 5 } \right)$ and $\left( - \frac { 1 } { 10 } , \frac { 1 } { 10 } \right)$

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. -m = 1.1; (7, -2)

For the function represented in the graph, determine the domain or range, as requested. -Find the domain.

If possible, determine the slope. - $y = - \frac { 1 } { 6 }$

For the function represented in the graph, determine the domain or range, as requested. -Find the range.

Graph the function. - $(x)=|x|-1$

Find the domain. - $f ( x ) = x ^ { 2 } + 7$

Find a linear function whose graph has the given slope and y-intercept. -Slope 3, y-intercept $\left( 0 , - \frac { 5 } { 6 } \right)$

Find a linear function whose graph has the given slope and y-intercept. -Slope $- \frac { 6 } { 5 } , y - i n t e r c e p t ( 0,8 )$

For the function represented in the graph, determine the domain or range, as requested. -Find the range.

Graph. -y = -1

Graph. -y + 3 = 0

Solve. -The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after 2.2 seconds?

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

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Exam 7: Graphs, Functions, and Applications

Determine whether the graph is the graph of a function. -

Find the intercepts and then graph the line. -9y - 3x = -6

Find an equation of the line containing the given pair of points - (1,58)\left( 1 , \frac { 5 } { 8 } \right)(1,85​) and (8,32)\left( 8 , \frac { 3 } { 2 } \right)(8,23​)

Provide an appropriate response. -Without making a drawing, explain why the graph of the equation y = x - 5 passes through three quadrants.

Tell whether the lines are "parallel", "perpendicular", or "neither." - y+7=-4x 5y=20x-8

Find an equation of the line containing the given pair of points - (15,35)\left( \frac { 1 } { 5 } , \frac { 3 } { 5 } \right)(51​,53​) and (−110,110)\left( - \frac { 1 } { 10 } , \frac { 1 } { 10 } \right)(−101​,101​)

Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. -m = 1.1; (7, -2)

For the function represented in the graph, determine the domain or range, as requested. -Find the domain.

If possible, determine the slope. - y=−16y = - \frac { 1 } { 6 }y=−61​

For the function represented in the graph, determine the domain or range, as requested. -Find the range.

Graph the function. - (x)=∣x∣−1(x)=|x|-1(x)=∣x∣−1

Find the domain. - f(x)=x2+7f ( x ) = x ^ { 2 } + 7f(x)=x2+7

Solve. -The surface area a of a cylinder is shown in the graph below. What is the radius if the surface area is 30 m230 \mathrm {~m} ^ { 2 }30 m2 ? Surface Area (in m2\mathrm { m } ^ { 2 }m2 ) Height (in ft)

Find a linear function whose graph has the given slope and y-intercept. -Slope 3, y-intercept (0,−56)\left( 0 , - \frac { 5 } { 6 } \right)(0,−65​)

Find a linear function whose graph has the given slope and y-intercept. -Slope −65,y−intercept(0,8)- \frac { 6 } { 5 } , y - i n t e r c e p t ( 0,8 )−56​,y−intercept(0,8)

For the function represented in the graph, determine the domain or range, as requested. -Find the range.

Graph. -y = -1

Solve. -The graph shows the relationship between the area A\mathrm { A }A of a rectangle and the length L\mathrm { L }L , if the width is fixed. Find the area if the length is 7 cm7 \mathrm {~cm}7 cm .

Graph. -y + 3 = 0

Solve. -The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after 2.2 seconds?

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Find an equation of the line containing the given pair of points - $\left( 1 , \frac { 5 } { 8 } \right)$ and $\left( 8 , \frac { 3 } { 2 } \right)$

Find an equation of the line containing the given pair of points - $\left( \frac { 1 } { 5 } , \frac { 3 } { 5 } \right)$ and $\left( - \frac { 1 } { 10 } , \frac { 1 } { 10 } \right)$

If possible, determine the slope. - $y = - \frac { 1 } { 6 }$

Graph the function. - $(x)=|x|-1$

Find the domain. - $f ( x ) = x ^ { 2 } + 7$

Find a linear function whose graph has the given slope and y-intercept. -Slope 3, y-intercept $\left( 0 , - \frac { 5 } { 6 } \right)$

Find a linear function whose graph has the given slope and y-intercept. -Slope $- \frac { 6 } { 5 } , y - i n t e r c e p t ( 0,8 )$