Question 1

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

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 $x$-intercept of the graph of $y = f ( x )$ ?

Accepted Answer

A)  $- 1$ 
B)  0 
C)  6 
D)  $- 2$

Question 3

Solve the equation.
-$$( y - 7 ) - ( y + 2 ) = 4 y$$

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $- \frac { 9 } { 7 }$ 
C) $ - \frac { 9 } { 4 }$ 
D)  $- \frac { 9 } { 5 }$

Question 4

Solve the equation.
-$$6 ( 3 x - 1 ) = 24$$

Accepted Answer

A)  1 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 25 } { 18 }$ 
D)  $\frac { 23 } { 18 }$

Question 5

Solve the inequality and draw a number line graph of the solution.
-$$0.5 a > 7$$

Accepted Answer

A)  $k \leq 14$
 
B)  $\mathrm { k }  14$

Question 6

Solve the equation.
-$$9 x - ( 4 x - 1 ) = 2$$

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $- \frac { 1 } { 13 }$ 
C)  $\frac { 1 } { 13 }$ 
D)  $- \frac { 1 } { 5 }$

Question 7

Provide an appropriate response.
-$\text { If } a \leq b \text {, is it always true that } a + 6 \leq b + 6$ ? Explain.

Accepted Answer

The answer of Provide an appropriate response.
-\(\text { If }...

Question 8

Solve the double inequality.
-$$- 8 \leq 0.2 z + 3 \leq - 5$$

Accepted Answer

A)  $- 55 < \mathrm { z } < - 40$ 
B)  $- 55 \leq \mathrm { z } < - 40$ 
C)  $- 55 \leq \mathrm { z } \leq - 40$ 
D)  $- 55 \leq z \leq - 40$

Question 9

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.
-Suppose that the number of inhabitants of Country A is given by $y = - 7.33 x + 909.51$ million, and the number of inhabitants of Country B is given by $y = 2.07 x + 815.51$ million, where $x$ is the number of years since 2010 . Find the year in which the number of inhabitants of Country A equals the number of inhabitants of Country B.

Accepted Answer

A)  2024 
B)  2022 
C)  2020 
D)  2026

Question 10

Solve the double inequality.
-$$- 5 < \frac { 6 - 5 x } { 10 } \leq 3$$

Accepted Answer

A)  $\frac { 24 } { 5 } < x < \frac { 56 } { 5 }$ 
B)  $- \frac { 24 } { 5 } \leq x < \frac { 56 } { 5 }$ 
C)  $- \frac { 24 } { 5 } \leq x \leq \frac { 56 } { 5 }$ 
D)  $\frac { 24 } { 5 } \leq x < \frac { 56 } { 5 }$

Question 11

Translate the sentence to an algebraic inequality.
-The cost is no more than $336.95.

Accepted Answer

A)  $x  336.95$

Question 12

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if
necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 \
\hline \mathrm{y} & 54 & 53 & 55 & 54 & 56
\end{array}$

Accepted Answer

A)  $y = 54$ 
B)  $y = 3 x + 50$ 
C)  $y = 55.3$ 
D)  $y = 2.5 x + 50.4$

Question 13

Does the system have a unique solution, no solution, or many solutions?
-$$\left\{ \begin{array} { l } 
x + y = 7 \
x + y = 8
\end{array} \right.$$

Accepted Answer

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

Question 14

Provide an appropriate response.
-$\text { If } a < b \text {, is it always true that } \frac { 1 } { a } > \frac { 1 } { b } \text { ? Explain. }$

Accepted Answer

The answer of Provide an appropriate response.
-\(\text { If }...

Question 15

Provide an appropriate response.
-$\text { If } a \leq b \text {, is it always true that } - 4 a \leq - 4 b$ ? Explain.

Accepted Answer

The answer of Provide an appropriate response.
-\(\text { If }...

Question 16

Solve the system of equations by elimination, if a solution exists.
-$$\left\{ \begin{array} { c } 
8 x + 9 y = 8 \
- 5 x + 7 y = - 5
\end{array} \right.$$

Accepted Answer

A)  $x = 1 , y = 0$ 
B)  $x = 0 , y = 1$ 
C)  No solution 
D)  $x = 1 , y = 1$

Question 17

Solve the double inequality.
-$- 13 < - 3 a + 5$ and $- 3 a + 5 \leq - 1$

Accepted Answer

A)  $2 \leq a < 6$ 
B)  $- 6 \leq a < - 2$ 
C)  $2 < a \leq 6$ 
D)  $- 6 < a \leq - 2$

Question 18

Translate the sentence to an algebraic inequality.
-A salesperson has two job offers. Company A offers a weekly salary of $400 plus commission of 10% of sales. Company B offers a weekly salary of $800 plus commission of 5% of sales. What is the amount of sales above
Which Company A's offer is the better of the two?

Accepted Answer

A)  $8100 
B)  $4000 
C)  $8000 
D)  $16,000

Question 19

Solve the equation for y.
-An average score of 90 for 5 exams is needed for a final grade of A. John's first 4 exam grades are 79, 89, 97, and 95. Determine the grade needed on the fifth exam to get an A in the course.

Accepted Answer

A)  100 
B)  85 
C)  95 
D)  90

Question 20

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. $- 5$
b. $x = 0$ 
B)  a. 0
b. $x = - 5$ 
C)  a. $- 6$
b. $x = - 6$ 
D)  a. $- 5$
b. $x = - 5$

Exam 2: Linear Models, Equations, and Inequalities

Solve the equation. - $( y - 7 ) - ( y + 2 ) = 4 y$

Solve the equation. - $6 ( 3 x - 1 ) = 24$

Solve the inequality and draw a number line graph of the solution. - $0.5 a > 7$ $Solve the inequality and draw a number line graph of the solution. - 0.5 a > 7 A) k \leq 14 B) \mathrm { k } < 14 C) k \geq 14 D) \mathrm { k } > 14$

Solve the equation. - $9 x - ( 4 x - 1 ) = 2$

Provide an appropriate response. - $\text { If } a \leq b \text {, is it always true that } a + 6 \leq b + 6$ ? Explain.

Solve the double inequality. - $- 8 \leq 0.2 z + 3 \leq - 5$

Solve the double inequality. - $- 5 < \frac { 6 - 5 x } { 10 } \leq 3$

Translate the sentence to an algebraic inequality. -The cost is no more than $336.95.

Find the linear function that is the best fit for the given data. Round decimal values to the nearest hundredth, if necessary. - $\begin{array}{l|lllll}\mathrm{x} & 1.2 & 1.4 & 1.6 & 1.8 & 2.0 \\\hline \mathrm{y} & 54 & 53 & 55 & 54 & 56\end{array}$

Does the system have a unique solution, no solution, or many solutions? - $\left\{ \begin{array} { l } x + y = 7 \\x + y = 8\end{array} \right.$

Provide an appropriate response. - $\text { If } a < b \text {, is it always true that } \frac { 1 } { a } > \frac { 1 } { b } \text { ? Explain. }$

Provide an appropriate response. - $\text { If } a \leq b \text {, is it always true that } - 4 a \leq - 4 b$ ? Explain.

Solve the system of equations by elimination, if a solution exists. - $\left\{ \begin{array} { c } 8 x + 9 y = 8 \\- 5 x + 7 y = - 5\end{array} \right.$

Solve the double inequality. - $- 13 < - 3 a + 5$ and $- 3 a + 5 \leq - 1$

Solve the equation for y. -An average score of 90 for 5 exams is needed for a final grade of A. John's first 4 exam grades are 79, 89, 97, and 95. Determine the grade needed on the fifth exam to get an A in the course.

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 $f ( x ) = 0$ . -

Exam 2: Linear Models, Equations, and Inequalities

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) ?

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 xxx -intercept of the graph of y=f(x) y = f ( x ) y=f(x) ?

Solve the equation. - (y−7) −(y+2) =4y( y - 7 ) - ( y + 2 ) = 4 y(y−7) −(y+2) =4y

Solve the equation. - 6(3x−1) =246 ( 3 x - 1 ) = 246(3x−1) =24

Solve the inequality and draw a number line graph of the solution. - 0.5a>70.5 a > 70.5a>7

Solve the equation. - 9x−(4x−1) =29 x - ( 4 x - 1 ) = 29x−(4x−1) =2

Provide an appropriate response. - If a≤b, is it always true that a+6≤b+6\text { If } a \leq b \text {, is it always true that } a + 6 \leq b + 6 If a≤b, is it always true that a+6≤b+6 ? Explain.

Solve the double inequality. - −8≤0.2z+3≤−5- 8 \leq 0.2 z + 3 \leq - 5−8≤0.2z+3≤−5

Solve the double inequality. - −5<6−5x10≤3- 5 < \frac { 6 - 5 x } { 10 } \leq 3−5<106−5x​≤3

Translate the sentence to an algebraic inequality. -The cost is no more than $336.95.

Does the system have a unique solution, no solution, or many solutions? - {x+y=7x+y=8\left\{ \begin{array} { l } x + y = 7 \\x + y = 8\end{array} \right.{x+y=7x+y=8​

Provide an appropriate response. - If a<b, is it always true that 1a>1b ? Explain. \text { If } a < b \text {, is it always true that } \frac { 1 } { a } > \frac { 1 } { b } \text { ? Explain. } If a<b, is it always true that a1​>b1​ ? Explain.

Provide an appropriate response. - If a≤b, is it always true that −4a≤−4b\text { If } a \leq b \text {, is it always true that } - 4 a \leq - 4 b If a≤b, is it always true that −4a≤−4b ? Explain.

Solve the system of equations by elimination, if a solution exists. - {8x+9y=8−5x+7y=−5\left\{ \begin{array} { c } 8 x + 9 y = 8 \\- 5 x + 7 y = - 5\end{array} \right.{8x+9y=8−5x+7y=−5​

Solve the double inequality. - −13<−3a+5- 13 < - 3 a + 5−13<−3a+5 and −3a+5≤−1- 3 a + 5 \leq - 1−3a+5≤−1

Solve the equation for y. -An average score of 90 for 5 exams is needed for a final grade of A. John's first 4 exam grades are 79, 89, 97, and 95. Determine the grade needed on the fifth exam to get an A in the course.

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. - $( y - 7 ) - ( y + 2 ) = 4 y$

Solve the equation. - $6 ( 3 x - 1 ) = 24$

Solve the inequality and draw a number line graph of the solution. - $0.5 a > 7$ $Solve the inequality and draw a number line graph of the solution. - 0.5 a > 7 A) k \leq 14 B) \mathrm { k } < 14 C) k \geq 14 D) \mathrm { k } > 14$

Solve the equation. - $9 x - ( 4 x - 1 ) = 2$

Provide an appropriate response. - $\text { If } a \leq b \text {, is it always true that } a + 6 \leq b + 6$ ? Explain.

Solve the double inequality. - $- 8 \leq 0.2 z + 3 \leq - 5$

Solve the double inequality. - $- 5 < \frac { 6 - 5 x } { 10 } \leq 3$

Does the system have a unique solution, no solution, or many solutions? - $\left\{ \begin{array} { l } x + y = 7 \\x + y = 8\end{array} \right.$

Provide an appropriate response. - $\text { If } a < b \text {, is it always true that } \frac { 1 } { a } > \frac { 1 } { b } \text { ? Explain. }$

Provide an appropriate response. - $\text { If } a \leq b \text {, is it always true that } - 4 a \leq - 4 b$ ? Explain.

Solve the system of equations by elimination, if a solution exists. - $\left\{ \begin{array} { c } 8 x + 9 y = 8 \\- 5 x + 7 y = - 5\end{array} \right.$

Solve the double inequality. - $- 13 < - 3 a + 5$ and $- 3 a + 5 \leq - 1$

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 $f ( x ) = 0$ . -