Question 1

Provide an appropriate response.
-Give the number of solutions for $|a x+b|>k$ if $k<0$.

Accepted Answer

A)  1 
B)  0 
C)  2 
D)  An infinite number 
A)  1 
B)  0 
C)  2 
D)  An infinite number D

Question 2

For the compound inequality, give the solution set in both interval and graph forms.
-$x-3>2$ or $x+3<2$

Accepted Answer

A)  $(-\infty,-1) \cup(5, \infty)$
  
B)  $(-\infty, 1) \cup(5, \infty)$
  
C)  $(-\infty, 5)$
  
D)  $(-1, \infty)$
  
A)  $(-\infty,-1) \cup(5, \infty)$
  
B)  $(-\infty, 1) \cup(5, \infty)$
  
C)  $(-\infty, 5)$
  
D)  $(-1, \infty)$
  A

Question 3

Solve the problem.
-Company A rents copiers for a monthly charge of $\$ 360$ plus 12 cents per copy. Company B rents copiers for a monthly charge of $\$ 720$ plus 6 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Accepted Answer

A)  3000 copies 
B)  6100 copies 
C)  12,000 copies 
D)  6000 copies 
A)  3000 copies 
B)  6100 copies 
C)  12,000 copies 
D)  6000 copies D

Question 4

Solve the problem.
-Find the length of a rectangular lot with a perimeter of $70 \mathrm{~m}$ if the length is $7 \mathrm{~m}$ more than the width.

Accepted Answer

A)  $14 \mathrm{~m}$ 
B)  $42 \mathrm{~m}$ 
C)  $35 \mathrm{~m}$ 
D)  $21 \mathrm{~m}$ 
A)  $14 \mathrm{~m}$ 
B)  $42 \mathrm{~m}$ 
C)  $35 \mathrm{~m}$ 
D)  $21 \mathrm{~m}$

Question 5

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-

Accepted Answer

A)  $2< x \leq 6$ 
B)  $2 \leq x \leq 6$ 
C)  $2 \leq x<6$ 
D)  $2< x<6$ 
A)  $2< x \leq 6$ 
B)  $2 \leq x \leq 6$ 
C)  $2 \leq x<6$ 
D)  $2< x<6$

Question 6

Solve the equation or inequality.
-$|x-3| \leq 0$

Accepted Answer

A)  $\{-3\}$ 
B)  $\{3\}$ 
C)  $\varnothing$ 
D)  $(-\infty, 3)$ 
A)  $\{-3\}$ 
B)  $\{3\}$ 
C)  $\varnothing$ 
D)  $(-\infty, 3)$

Question 7

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set.
-$\mathrm{C} \cup \mathrm{A}$

Accepted Answer

A)  $\varnothing$ 
B)  $\{\mathrm{s}, \mathrm{t}\}$ 
C)  $\{\mathrm{q}, \mathrm{s}, \mathrm{u}, \mathrm{v}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$ 
D)  $\{\mathrm{q}, \mathrm{s}, \mathrm{u}, \mathrm{v}, \mathrm{w}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$ or $\mathrm{A}$ 
A)  $\varnothing$ 
B)  $\{\mathrm{s}, \mathrm{t}\}$ 
C)  $\{\mathrm{q}, \mathrm{s}, \mathrm{u}, \mathrm{v}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$ 
D)  $\{\mathrm{q}, \mathrm{s}, \mathrm{u}, \mathrm{v}, \mathrm{w}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$ or $\mathrm{A}$

Question 8

If $a \leq b$, is it always true that $a^{2} \leq b^{2}$ ? Explain.

Accepted Answer

No. It is only true that @#LAT-DLM& if @#LAT-DLM&.

Question 9

Solve the equation.
-$-[8 x+(2 x+9)]=8-(5 x+4)$

Accepted Answer

A)  $\left\{-\frac{13}{5}\right\}$ 
B)  $\left\{-\frac{3}{5}\right\}$ 
C)  $\{-3\}$ 
D)  $\{-13\}$ 
A)  $\left\{-\frac{13}{5}\right\}$ 
B)  $\left\{-\frac{3}{5}\right\}$ 
C)  $\{-3\}$ 
D)  $\{-13\}$

Question 10

Solve the equation. Then tell whether the equation is a conditional equation, an identity, or a contradiction.
-$-4(-2 x+7)=-24-5 x+9 x$

Accepted Answer

A)  $\{1\}$; conditional equation 
B)  $\varnothing$; contradiction 
C)  $(-\infty, \infty)$; identity 
D)  $\{-1\}$; conditional equation 
A)  $\{1\}$; conditional equation 
B)  $\varnothing$; contradiction 
C)  $(-\infty, \infty)$; identity 
D)  $\{-1\}$; conditional equation

Question 11

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set.
-$C \cup D$

Accepted Answer

A)  $\{s, v, w, x, y, z\}$ 
B)  $\{w, y, z\}$ 
C)  $\{\mathrm{w}, \mathrm{y}\}$ 
D)  $\{\mathrm{s}, \mathrm{u}, \mathrm{w}, \mathrm{y}, \mathrm{z}\}$ 
A)  $\{s, v, w, x, y, z\}$ 
B)  $\{w, y, z\}$ 
C)  $\{\mathrm{w}, \mathrm{y}\}$ 
D)  $\{\mathrm{s}, \mathrm{u}, \mathrm{w}, \mathrm{y}, \mathrm{z}\}$

Question 12

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-$[-6,-2)$

Accepted Answer

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

Question 13

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-$(-\infty,-5)$

Accepted Answer

A) $x>-5$ B) $x<-5$ C) $x \geq-5$ D) $x \leq-5$ A) $x>-5$ B) $x<-5$ C) $x \geq-5$ D) $x \leq-5$

Question 14

Solve the equation.
-$|3s - 5|=|s - 4|$

Accepted Answer

A)  $\left\{\frac{1}{2}\right\}$ 
B)  $\varnothing$ 
C)  $\left\{\frac{1}{2}, \frac{9}{4}\right\}$ 
D)  $\left\{-\frac{1}{2},-\frac{9}{4}\right\}$ 
A)  $\left\{\frac{1}{2}\right\}$ 
B)  $\varnothing$ 
C)  $\left\{\frac{1}{2}, \frac{9}{4}\right\}$ 
D)  $\left\{-\frac{1}{2},-\frac{9}{4}\right\}$

Question 15

The intersection of the set of positive numbers and the set of negative numbers is $\{0\}$.

Accepted Answer

A) True 
 B)False

Question 16

Solve the problem.
-A certificate of deposit pays $\$ 1866.75$ in simple interest for $1 \mathrm{yr}$ on a principal on $\$ 28,500$. What is the rate of interest?

Accepted Answer

A)  $6.6 \%$ 
B)  $6.5 \%$ 
C)  $6.55 \%$ 
D)  $7.55 \%$ 
A)  $6.6 \%$ 
B)  $6.5 \%$ 
C)  $6.55 \%$ 
D)  $7.55 \%$

Question 17

If $a \leq b$, is it always true that $-6 a \leq-6 b$ ? Explain.

Accepted Answer

No..Multiplying an inequality

Question 18

Solve the equation for the specified variable. Use the distributive property to factor as necessary.
-$c=\frac{9 t+4}{t}$ for $t$

Accepted Answer

A)  $\mathrm{t}=\frac{4}{\mathrm{c}-9}$ or $\mathrm{t}=\frac{-4}{-\mathrm{c}+9}$ 
B)  $t=\frac{13}{c}$ or $t=\frac{-13}{-c}$ 
C)  $\mathrm{t}=\frac{-4}{\mathrm{c}-9}$ or $\mathrm{t}=\frac{4}{-\mathrm{c}+9}$ 
D)  $\mathrm{t}=\frac{\mathrm{c}+9}{4}$ or $\mathrm{t}=\frac{-\mathrm{c}-9}{-4}$ 
A)  $\mathrm{t}=\frac{4}{\mathrm{c}-9}$ or $\mathrm{t}=\frac{-4}{-\mathrm{c}+9}$ 
B)  $t=\frac{13}{c}$ or $t=\frac{-13}{-c}$ 
C)  $\mathrm{t}=\frac{-4}{\mathrm{c}-9}$ or $\mathrm{t}=\frac{4}{-\mathrm{c}+9}$ 
D)  $\mathrm{t}=\frac{\mathrm{c}+9}{4}$ or $\mathrm{t}=\frac{-\mathrm{c}-9}{-4}$

Question 19

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 Ximena is $\$ 668$. If there were 24 equal monthly installments needed to repay the loan, and the loan is paid in full with 15 months remaining, find the amount of unearned interest. (Round your answer to the nearest cent.)

Accepted Answer

A)  $\$ 87.13$ 
B)  $\$ 267.20$ 
C)  $\$ 100.20$ 
D)  $\$ 254.13$ 
A)  $\$ 87.13$ 
B)  $\$ 267.20$ 
C)  $\$ 100.20$ 
D)  $\$ 254.13$

Question 20

Decide whether the following is an expression or an equation.
-$-8 x+8-3 x+13=0$

Accepted Answer

A)  Equation 
B)  Expression 
A)  Equation 
B)  Expression

Provide an appropriate response. -Give the number of solutions for $|a x+b|>k$ if $k<0$ .

For the compound inequality, give the solution set in both interval and graph forms. - $x-3>2$ or $x+3<2$

Solve the problem. -Company A rents copiers for a monthly charge of $\$ 360$ plus 12 cents per copy. Company B rents copiers for a monthly charge of $\$ 720$ plus 6 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Solve the problem. -Find the length of a rectangular lot with a perimeter of $70 \mathrm{~m}$ if the length is $7 \mathrm{~m}$ more than the width.

Write an inequality statement involving the letter x that describes the given graph or interval notation. -

Solve the equation or inequality. - $|x-3| \leq 0$

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - $\mathrm{C} \cup \mathrm{A}$

If $a \leq b$ , is it always true that $a^{2} \leq b^{2}$ ? Explain.

Solve the equation. - $-[8 x+(2 x+9)]=8-(5 x+4)$

Solve the equation. Then tell whether the equation is a conditional equation, an identity, or a contradiction. - $-4(-2 x+7)=-24-5 x+9 x$

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - $C \cup D$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $[-6,-2)$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $(-\infty,-5)$

Solve the equation. - $|3s - 5|=|s - 4|$

The intersection of the set of positive numbers and the set of negative numbers is $\{0\}$ .

Solve the problem. -A certificate of deposit pays $\$ 1866.75$ in simple interest for $1 \mathrm{yr}$ on a principal on $\$ 28,500$ . What is the rate of interest?

If $a \leq b$ , is it always true that $-6 a \leq-6 b$ ? Explain.

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - $c=\frac{9 t+4}{t}$ for $t$

Decide whether the following is an expression or an equation. - $-8 x+8-3 x+13=0$

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

Provide an appropriate response. -Give the number of solutions for ∣ax+b∣>k|a x+b|>k∣ax+b∣>k if k<0k<0k<0 .

For the compound inequality, give the solution set in both interval and graph forms. - x−3>2x-3>2x−3>2 or x+3<2x+3<2x+3<2

Solve the problem. -Company A rents copiers for a monthly charge of $360\$ 360$360 plus 12 cents per copy. Company B rents copiers for a monthly charge of $720\$ 720$720 plus 6 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?

Solve the problem. -Find the length of a rectangular lot with a perimeter of 70 m70 \mathrm{~m}70 m if the length is 7 m7 \mathrm{~m}7 m more than the width.

Write an inequality statement involving the letter x that describes the given graph or interval notation. -

Solve the equation or inequality. - ∣x−3∣≤0|x-3| \leq 0∣x−3∣≤0

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - C∪A\mathrm{C} \cup \mathrm{A}C∪A

If a≤ba \leq ba≤b , is it always true that a2≤b2a^{2} \leq b^{2}a2≤b2 ? Explain.

Solve the equation. - −[8x+(2x+9)]=8−(5x+4)-[8 x+(2 x+9)]=8-(5 x+4)−[8x+(2x+9)]=8−(5x+4)

Solve the equation. Then tell whether the equation is a conditional equation, an identity, or a contradiction. - −4(−2x+7)=−24−5x+9x-4(-2 x+7)=-24-5 x+9 x−4(−2x+7)=−24−5x+9x

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - C∪DC \cup DC∪D

Write an inequality statement involving the letter x that describes the given graph or interval notation. - [−6,−2)[-6,-2)[−6,−2)

Write an inequality statement involving the letter x that describes the given graph or interval notation. - (−∞,−5)(-\infty,-5)(−∞,−5)

Solve the equation. - ∣3s−5∣=∣s−4∣|3s - 5|=|s - 4|∣3s−5∣=∣s−4∣

The intersection of the set of positive numbers and the set of negative numbers is {0}\{0\}{0} .

Solve the problem. -A certificate of deposit pays $1866.75\$ 1866.75$1866.75 in simple interest for 1yr1 \mathrm{yr}1yr on a principal on $28,500\$ 28,500$28,500 . What is the rate of interest?

If a≤ba \leq ba≤b , is it always true that −6a≤−6b-6 a \leq-6 b−6a≤−6b ? Explain.

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - c=9t+4tc=\frac{9 t+4}{t}c=t9t+4​ for ttt

Decide whether the following is an expression or an equation. - −8x+8−3x+13=0-8 x+8-3 x+13=0−8x+8−3x+13=0