Question 1

Decide if the statement is .
--10 is a solution of $5 x+2=-47$.

Accepted Answer

A) True 
 B)False

Question 2

Solve the problem.
-When a loan scheduled to run $n$ payments is paid off $k$ payments ahead of schedule, the amount of unearned interest $\mathrm{u}$ is given by $\mathrm{u}=\mathrm{f} \cdot \frac{\mathrm{k}(\mathrm{k}+1)}{\mathrm{n}(\mathrm{n}+1)}$, where $\mathrm{f}$ is the total scheduled finance charge. The finance charge on a loan taken out by Ivan is $\$ 414$. If there were 48 equal monthly installments needed to repay the loan, and the loan is paid in full with 13 months remaining, find the total finance charge paid. (Round your answer to the nearest cent.)

Accepted Answer

A)  $\$ 221.79$ 
B)  $\$ 414.00$ 
C)  $\$ 381.96$ 
D)  $\$ 32.04$ 
A)  $\$ 221.79$ 
B)  $\$ 414.00$ 
C)  $\$ 381.96$ 
D)  $\$ 32.04$

Question 3

The intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers.

Accepted Answer

A) True 
 B)False

Question 4

Solve the problem.
-Jon has 928 points in his math class. He must have $71 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

Accepted Answer

A)  659 points 
B)  137 points 
C)  572 points 
D)  1065 points 
A)  659 points 
B)  137 points 
C)  572 points 
D)  1065 points

Question 5

Solve the problem.
-Behemoth Back Packs, Inc. finds that the cost to make $x$ back packs is $C=27 x+5385$, while the revenue produced from them is $\mathrm{R}=126 x$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of back packs, $x$, that must be sold for the company to show a profit?

Accepted Answer

A)  533,115 
B)  823,905 
C)  36 
D)  55 
A)  533,115 
B)  823,905 
C)  36 
D)  55

Question 6

The intersection of the set of nonpositive rational numbers and the set of whole numbers is $\{0\}$.

Accepted Answer

A) True 
 B)False

Question 7

Solve the problem.
-Walt made an extra $\$ 9000$ last year from a part-time job. He invested part of the money at $8 \%$ and the rest at $7 \%$. He made a total of $\$ 680$ in interest. How much did he invest at each rate?

Accepted Answer

A)  $\$ 5000$ at $7 \% ; \$ 4000$ at $8 \%$ 
B)  $\$ 4000$ at $7 \% ; \$ 5000$ at $8 \%$ 
C)  $\$ 4500$ at $7 \% ; \$ 5000$ at $8 \%$ 
D)  $\$ 4000$ at $7 \%$; $\$ 7000$ at $8 \%$ 
A)  $\$ 5000$ at $7 \% ; \$ 4000$ at $8 \%$ 
B)  $\$ 4000$ at $7 \% ; \$ 5000$ at $8 \%$ 
C)  $\$ 4500$ at $7 \% ; \$ 5000$ at $8 \%$ 
D)  $\$ 4000$ at $7 \%$; $\$ 7000$ at $8 \%$

Question 8

Solve the equation for $y$.
-$7 x+2 y=5$

Accepted Answer

A)  $y=\frac{5+7 x}{2}$ 
B)  $y=\frac{5-7 x}{2}$ 
C)  $y=\frac{-5-7 x}{2}$ 
D)  $y=-14 x+10$ 
A)  $y=\frac{5+7 x}{2}$ 
B)  $y=\frac{5-7 x}{2}$ 
C)  $y=\frac{-5-7 x}{2}$ 
D)  $y=-14 x+10$

Question 9

Solve the equation.
-$\frac{\mathrm{f}}{4}-3=1$

Accepted Answer

A)  $\{-16\}$ 
B)  $\{16\}$ 
C)  $\{-8\}$ 
D)  $\{8\}$ 
A)  $\{-16\}$ 
B)  $\{16\}$ 
C)  $\{-8\}$ 
D)  $\{8\}$

Question 10

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-The product of 3 and 2 less than a number

Accepted Answer

A)  $3(x+2)$ 
B)  $3(2-x)$ 
C)  $3(x-2)$ 
D)  $3 x-2$ 
A)  $3(x+2)$ 
B)  $3(2-x)$ 
C)  $3(x-2)$ 
D)  $3 x-2$

Question 11

Suppose you were to solve a problem involving motion, and the problem gave the rate in miles per hour and the time in minutes. Would you be able to determine the distance traveled? If so, how would you go about it?

Accepted Answer

Yes. You would need to convert

Question 12

In solving the inequality $4 x \leq-28$, would you have to reverse the inequality symbol? Explain why.

Accepted Answer

No, since you don't have to di

Question 13

Solve the equation.
-$12 x+9=15$

Accepted Answer

A)  $\left\{\frac{5}{12}\right\}$ 
B)  $\left\{\frac{1}{2}\right\}$ 
C)  $\{2\}$ 
D)  $\left\{-\frac{1}{2}\right\}$ 
A)  $\left\{\frac{5}{12}\right\}$ 
B)  $\left\{\frac{1}{2}\right\}$ 
C)  $\{2\}$ 
D)  $\left\{-\frac{1}{2}\right\}$

Question 14

For the compound inequality, give the solution set in both interval and graph forms.
-$9 x-3 \geq-39$ and $9 x+6 \geq 42$

Accepted Answer

A)  $[-4,4]$
  
B)  $[4, \infty)$
  
C)  $(-\infty,-4] \cup[4, \infty)$
  
D)  $[-4, \infty)$
  
A)  $[-4,4]$
  
B)  $[4, \infty)$
  
C)  $(-\infty,-4] \cup[4, \infty)$
  
D)  $[-4, \infty)$

Question 15

Solve the inequality and graph the solution set.
-$|5 x+3|<4$

Accepted Answer

A)    
B)  $(-\infty, 5)$
  
C)  $\left(-\frac{7}{5}, \frac{1}{5}\right)$
  
D)  $\left(-\infty,-\frac{7}{5}\right) \cup\left(\frac{1}{5}, \infty\right)$
  
A)    
B)  $(-\infty, 5)$
  
C)  $\left(-\frac{7}{5}, \frac{1}{5}\right)$
  
D)  $\left(-\infty,-\frac{7}{5}\right) \cup\left(\frac{1}{5}, \infty\right)$

Question 16

Solve the problem.
-Candy and Delvis are riding bicycles in the same direction. Candy is traveling at a speed of 8 miles per hour, and Delvis is traveling at a speed of 5 miles per hour. In 5 hours what is the distance between them (assuming that they began at the same point and time)?

Accepted Answer

A)  12 miles 
B)  24 miles 
C)  16 miles 
D)  15 miles 
A)  12 miles 
B)  24 miles 
C)  16 miles 
D)  15 miles

Question 17

The union of the set of rational numbers and the set of integers is the set of rational numbers.

Accepted Answer

A) True 
 B)False

Question 18

Solve the problem.
-Allied Plumbing spent $\$ 64,250$ this year on delivery costs alone. If total sales were $\$ 708,300$, what percent of total sales was spent on delivery costs? Round to the nearest tenth of a percent, if necessary.

Accepted Answer

A)  $110 \%$ 
B)  $9.1 \%$ 
C)  $0.9 \%$ 
D)  $11 \%$ 
A)  $110 \%$ 
B)  $9.1 \%$ 
C)  $0.9 \%$ 
D)  $11 \%$

Decide if the statement is . --10 is a solution of $5 x+2=-47$ .

The intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers.

Solve the problem. -Jon has 928 points in his math class. He must have $71 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

The intersection of the set of nonpositive rational numbers and the set of whole numbers is $\{0\}$ .

Solve the problem. -Walt made an extra $\$ 9000$ last year from a part-time job. He invested part of the money at $8 \%$ and the rest at $7 \%$ . He made a total of $\$ 680$ in interest. How much did he invest at each rate?

Solve the equation for $y$ . - $7 x+2 y=5$

Solve the equation. - $\frac{\mathrm{f}}{4}-3=1$

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -The product of 3 and 2 less than a number

Suppose you were to solve a problem involving motion, and the problem gave the rate in miles per hour and the time in minutes. Would you be able to determine the distance traveled? If so, how would you go about it?

In solving the inequality $4 x \leq-28$ , would you have to reverse the inequality symbol? Explain why.

Solve the equation. - $12 x+9=15$

For the compound inequality, give the solution set in both interval and graph forms. - $9 x-3 \geq-39$ and $9 x+6 \geq 42$ $For the compound inequality, give the solution set in both interval and graph forms. - 9 x-3 \geq-39 and 9 x+6 \geq 42$

Solve the inequality and graph the solution set. - $|5 x+3|<4$

Solve the problem. -Candy and Delvis are riding bicycles in the same direction. Candy is traveling at a speed of 8 miles per hour, and Delvis is traveling at a speed of 5 miles per hour. In 5 hours what is the distance between them (assuming that they began at the same point and time)?

The union of the set of rational numbers and the set of integers is the set of rational numbers.

Solve the problem. -Allied Plumbing spent $\$ 64,250$ this year on delivery costs alone. If total sales were $\$ 708,300$ , what percent of total sales was spent on delivery costs? Round to the nearest tenth of a percent, if necessary.

Review of the Real Number System

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 2: Linear Equations, Inequalities, and Applications

Decide if the statement is . --10 is a solution of 5x+2=−475 x+2=-475x+2=−47 .

The intersection of the set of rational numbers and the set of whole numbers is the set of rational numbers.

Solve the problem. -Jon has 928 points in his math class. He must have 71%71 \%71% of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

The intersection of the set of nonpositive rational numbers and the set of whole numbers is {0}\{0\}{0} .

Solve the problem. -Walt made an extra $9000\$ 9000$9000 last year from a part-time job. He invested part of the money at 8%8 \%8% and the rest at 7%7 \%7% . He made a total of $680\$ 680$680 in interest. How much did he invest at each rate?

Solve the equation for yyy . - 7x+2y=57 x+2 y=57x+2y=5

Solve the equation. - f4−3=1\frac{\mathrm{f}}{4}-3=14f​−3=1

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -The product of 3 and 2 less than a number

Suppose you were to solve a problem involving motion, and the problem gave the rate in miles per hour and the time in minutes. Would you be able to determine the distance traveled? If so, how would you go about it?

In solving the inequality 4x≤−284 x \leq-284x≤−28 , would you have to reverse the inequality symbol? Explain why.

Solve the equation. - 12x+9=1512 x+9=1512x+9=15

For the compound inequality, give the solution set in both interval and graph forms. - 9x−3≥−399 x-3 \geq-399x−3≥−39 and 9x+6≥429 x+6 \geq 429x+6≥42

Solve the inequality and graph the solution set. - ∣5x+3∣<4|5 x+3|<4∣5x+3∣<4

Solve the problem. -Candy and Delvis are riding bicycles in the same direction. Candy is traveling at a speed of 8 miles per hour, and Delvis is traveling at a speed of 5 miles per hour. In 5 hours what is the distance between them (assuming that they began at the same point and time)?

The union of the set of rational numbers and the set of integers is the set of rational numbers.

Solve the problem. -Allied Plumbing spent $64,250\$ 64,250$64,250 this year on delivery costs alone. If total sales were $708,300\$ 708,300$708,300 , what percent of total sales was spent on delivery costs? Round to the nearest tenth of a percent, if necessary.

Review of the Real Number System

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Decide if the statement is . --10 is a solution of $5 x+2=-47$ .

Solve the problem. -Jon has 928 points in his math class. He must have $71 \%$ of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the term to receive credit for the class?

The intersection of the set of nonpositive rational numbers and the set of whole numbers is $\{0\}$ .

Solve the problem. -Walt made an extra $\$ 9000$ last year from a part-time job. He invested part of the money at $8 \%$ and the rest at $7 \%$ . He made a total of $\$ 680$ in interest. How much did he invest at each rate?

Solve the equation for $y$ . - $7 x+2 y=5$

Solve the equation. - $\frac{\mathrm{f}}{4}-3=1$

In solving the inequality $4 x \leq-28$ , would you have to reverse the inequality symbol? Explain why.

Solve the equation. - $12 x+9=15$

For the compound inequality, give the solution set in both interval and graph forms. - $9 x-3 \geq-39$ and $9 x+6 \geq 42$ $For the compound inequality, give the solution set in both interval and graph forms. - 9 x-3 \geq-39 and 9 x+6 \geq 42$

Solve the inequality and graph the solution set. - $|5 x+3|<4$

Solve the problem. -Allied Plumbing spent $\$ 64,250$ this year on delivery costs alone. If total sales were $\$ 708,300$ , what percent of total sales was spent on delivery costs? Round to the nearest tenth of a percent, if necessary.