Question 1

Find the zero of f(x).
-$$f ( x ) = \frac { 1 } { 5 } x + \frac { 1 } { 10 }$$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 10 }$ 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $- \frac { 1 } { 10 }$ 
D)  $\frac { 1 } { 10 }$

Question 2

You are given a table showing input and output values for a given function $y _ { 1 } = f ( x )$ x). Use the table to answer the
question.
-What is the $y$-intercept of the graph of $y = f ( x )$ ?

Accepted Answer

A)  0 
B)  $- 3$ 
C)  3 
D)  $- 1$ 
A)  0 
B)  $- 3$ 
C)  3 
D)  $- 1$

Question 3

Translate the sentence to an algebraic inequality.
-The height of a member of the basketball team is at least 80 inches.

Accepted Answer

A)  $x \geq 80$ 
B)  $x \leq 80$ 
C)  $x  80$ 
A)  $x \geq 80$ 
B)  $x \leq 80$ 
C)  $x  80$

Question 4

Does the system have a unique solution, no solution, or many solutions?
-$$\left\{ \begin{array} { l } 
2 x - y = 5 \
- 4 x + 2 y = - 18
\end{array} \right.$$

Accepted Answer

A)  Many solutions 
B)  No solution 
C)  A unique solution 
A)  Many solutions 
B)  No solution 
C)  A unique solution

Question 5

To find the number of units that gives break-even for the product, solve the equation R $$\mathbf { R } = \mathbf { C }$$ ound your answer to the
nearest whole unit.
-A manufacturer has total revenue given by the function $$R = 258 x \text { and has total cost given by } C = 26 x + 974,000$$ where x is the number of units produced and sold.

Accepted Answer

A)  232 units 
B)  284 units 
C)  3430 units 
D)  4198 units 
A)  232 units 
B)  284 units 
C)  3430 units 
D)  4198 units

Question 6

You are given a table showing input and output values for a given function $y _ { 1 } = f ( x )$ x). Use the table to answer the
question.
-\[\begin{array}{l}
\text { What is the } y \text {-intercept of the graph of } y = f ( x ) \text { ? }\

Accepted Answer

A)  10 
B)  0 
C)  7 
D)  1 
A)  10 
B)  0 
C)  7 
D)  1

Question 7

Solve the equation using graphical methods. Round to the nearest thousandth when appropriate.
-$$8 x + 4 ( 1 + x ) = 3 ( x - 6 ) + 10 x$$

Accepted Answer

A)  $x = 7$ 
B)  $x = - 22$ 
C)  $x = - 7$ 
D)  $x = 22$ 
A)  $x = 7$ 
B)  $x = - 22$ 
C)  $x = - 7$ 
D)  $x = 22$

Question 8

Find the zero of f(x).
-$$f ( x ) = \frac { 1 } { 6 } x$$

Accepted Answer

A)  6 
B)  does not exist 
C)  0 
D)  $- 6$ 
A)  6 
B)  does not exist 
C)  0 
D)  $- 6$

Question 9

Solve the equation.
-$$- 7.6 q + 1.4 = - 41.3 - 1.5 q$$

Accepted Answer

A)  7 
B)  $5.6$ 
C)  $- 49$ 
D)  $5.8$ 
A)  7 
B)  $5.6$ 
C)  $- 49$ 
D)  $5.8$

Question 10

Solve the system of equations by elimination, if a solution exists.
-$$\left\{ \begin{array} { l } 
7 x - 7 y = 14 \
5 x + 3 y = - 22
\end{array} \right.$$

Accepted Answer

A)  $x = - 2 , y = - 3$ 
B)  No solution 
C)  $x = - 2 , y = - 4$ 
D)  $x = - 3 , y = - 3$ 
A)  $x = - 2 , y = - 3$ 
B)  No solution 
C)  $x = - 2 , y = - 4$ 
D)  $x = - 3 , y = - 3$

Question 11

The graph of a certain function $y = f ( x )$ and the zero of that function is given. Using this graph, find a) the $x$-intercept of the graph of $y = f ( x )$ and b) the solution to the equation $f ( x ) = 0$.
-

Accepted Answer

A)  a. $- 2$
b. $x = - 2$ 
B)  a. 0
b. $x = - 2$ 
C)  a. $- 2$
b. $x = 0$ 
D)  a. $- 1$
b. $x = - 1$ 
A)  a. $- 2$
b. $x = - 2$ 
B)  a. 0
b. $x = - 2$ 
C)  a. $- 2$
b. $x = 0$ 
D)  a. $- 1$
b. $x = - 1$

Question 12

Solve the equation.
-$$19 t - 47 = 7 t - 15$$

Accepted Answer

A)  $- \frac { 19 } { 62 }$ 
B)  $\frac { 8 } { 3 }$ 
C)  $- \frac { 13 } { 22 }$ 
D)  $- \frac { 8 } { 3 }$ 
A)  $- \frac { 19 } { 62 }$ 
B)  $\frac { 8 } { 3 }$ 
C)  $- \frac { 13 } { 22 }$ 
D)  $- \frac { 8 } { 3 }$

Find the zero of f(x). - $f ( x ) = \frac { 1 } { 5 } x + \frac { 1 } { 10 }$

Translate the sentence to an algebraic inequality. -The height of a member of the basketball team is at least 80 inches.

Does the system have a unique solution, no solution, or many solutions? - $\left\{ \begin{array} { l } 2 x - y = 5 \\- 4 x + 2 y = - 18\end{array} \right.$

Solve the equation using graphical methods. Round to the nearest thousandth when appropriate. - $8 x + 4 ( 1 + x ) = 3 ( x - 6 ) + 10 x$

Find the zero of f(x). - $f ( x ) = \frac { 1 } { 6 } x$

Solve the equation. - $- 7.6 q + 1.4 = - 41.3 - 1.5 q$

Solve the system of equations by elimination, if a solution exists. - $\left\{ \begin{array} { l } 7 x - 7 y = 14 \\5 x + 3 y = - 22\end{array} \right.$

The graph of a certain function $y = f ( x )$ and the zero of that function is given. Using this graph, find a) the $x$ -intercept of the graph of $y = f ( x )$ and b) the solution to the equation $f ( x ) = 0$ . -

Solve the equation. - $19 t - 47 = 7 t - 15$

Functions, Graphs, and Models; Linear Functions

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

Special Topics in Algebra

Filters

Exam 2: Linear Models, Equations, and Inequalities

Find the zero of f(x). - f(x)=15x+110f ( x ) = \frac { 1 } { 5 } x + \frac { 1 } { 10 }f(x)=51​x+101​

You are given a table showing input and output values for a given function y1=f(x)y _ { 1 } = f ( x )y1​=f(x) x). Use the table to answer the question. -What is the yyy -intercept of the graph of y=f(x)y = f ( x )y=f(x) ?

Translate the sentence to an algebraic inequality. -The height of a member of the basketball team is at least 80 inches.

Does the system have a unique solution, no solution, or many solutions? - {2x−y=5−4x+2y=−18\left\{ \begin{array} { l } 2 x - y = 5 \\- 4 x + 2 y = - 18\end{array} \right.{2x−y=5−4x+2y=−18​

You are given a table showing input and output values for a given function y1=f(x)y _ { 1 } = f ( x )y1​=f(x) x). Use the table to answer the question. - \[\begin{array}{l} \text { What is the } y \text {-intercept of the graph of } y = f ( x ) \text { ? }\\

Solve the equation using graphical methods. Round to the nearest thousandth when appropriate. - 8x+4(1+x)=3(x−6)+10x8 x + 4 ( 1 + x ) = 3 ( x - 6 ) + 10 x8x+4(1+x)=3(x−6)+10x

Find the zero of f(x). - f(x)=16xf ( x ) = \frac { 1 } { 6 } xf(x)=61​x

Solve the equation. - −7.6q+1.4=−41.3−1.5q- 7.6 q + 1.4 = - 41.3 - 1.5 q−7.6q+1.4=−41.3−1.5q

Solve the system of equations by elimination, if a solution exists. - {7x−7y=145x+3y=−22\left\{ \begin{array} { l } 7 x - 7 y = 14 \\5 x + 3 y = - 22\end{array} \right.{7x−7y=145x+3y=−22​

The graph of a certain function y=f(x)y = f ( x )y=f(x) and the zero of that function is given. Using this graph, find a) the xxx -intercept of the graph of y=f(x)y = f ( x )y=f(x) and b) the solution to the equation f(x)=0f ( x ) = 0f(x)=0 . -

Solve the equation. - 19t−47=7t−1519 t - 47 = 7 t - 1519t−47=7t−15