Question 1

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.
-$A \cap B$

Accepted Answer

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

Question 2

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
-$2(12 t+8)=4(4 t+2)$

Accepted Answer

A)  Conditional; $\{-1\}$ 
B)  Conditional; $\{-3\}$ 
C)  Contradiction; $\varnothing$ 
D)  Identity; {all real numbers} 
A)  Conditional; $\{-1\}$ 
B)  Conditional; $\{-3\}$ 
C)  Contradiction; $\varnothing$ 
D)  Identity; {all real numbers}

Question 3

Solve the equation or inequality.
-$|3 x-8|+9<0$

Accepted Answer

A)  $\left(-\infty,-\frac{1}{3}\right)$ 
B)  $\left(-\frac{1}{3}, \frac{17}{3}\right)$ 
C)  $\varnothing$ 
D)  $\left(-\infty, \frac{17}{3}\right)$ 
A)  $\left(-\infty,-\frac{1}{3}\right)$ 
B)  $\left(-\frac{1}{3}, \frac{17}{3}\right)$ 
C)  $\varnothing$ 
D)  $\left(-\infty, \frac{17}{3}\right)$

Question 4

Solve the problem.
-What is the perimeter of a rectangle of length $15 \mathrm{ft}$ and width $13 \mathrm{ft}$ ?

Accepted Answer

A)  $112 \mathrm{ft}$ 
B)  $28 \mathrm{ft}$ 
C)  $43 \mathrm{ft}$ 
D)  $56 \mathrm{ft}$ 
A)  $112 \mathrm{ft}$ 
B)  $28 \mathrm{ft}$ 
C)  $43 \mathrm{ft}$ 
D)  $56 \mathrm{ft}$

Question 5

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-8 more than a number

Accepted Answer

A)  $8+x$ 
B)  $8 x$ 
C)  $8-\mathrm{x}$ 
D)  8 
A)  $8+x$ 
B)  $8 x$ 
C)  $8-\mathrm{x}$ 
D)  8

Question 6

Decide whether the following is an expression or an equation.
-$-4(x-9)-3(x+4)-4 x$

Accepted Answer

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

Question 7

Solve the problem.
-There were 540 people at a play. The admission price was $\$ 2.00$ for adults and $\$ 1.00$ for children. The admission receipts were $\$ 890$. How many adults and children attended?

Accepted Answer

A)  350 adults and 190 children 
B)  95 adults and 445 children 
C)  222 adults and 318 children 
D)  190 adults and 350 children 
A)  350 adults and 190 children 
B)  95 adults and 445 children 
C)  222 adults and 318 children 
D)  190 adults and 350 children

Question 8

If $bb$ ? Explain.

Accepted Answer

The answer of If $bb$ ? Explain....

Question 9

For the compound inequality, give the solution set in both interval and graph forms.
-$-4 x+1 \geq 9$ or $6 x+3 \geq-21$

Accepted Answer

A)  $[-4, \infty)$
  
B)  $[-2, \infty)$
  
C)  $(-\infty, \infty)$
  
D)  $[-4,-2]$
  
A)  $[-4, \infty)$
  
B)  $[-2, \infty)$
  
C)  $(-\infty, \infty)$
  
D)  $[-4,-2]$

Question 10

Solve the compound or absolute value inequality.
-$\mid$ y $-8 \mid \leq-15$

Accepted Answer

A)  $(-\infty, \infty)$ 
B)  $[7,22]$ 
C)  $\varnothing$ 
D)  $[9,22]$ 
A)  $(-\infty, \infty)$ 
B)  $[7,22]$ 
C)  $\varnothing$ 
D)  $[9,22]$

Question 11

Solve the inequality and graph the solution set.
-$|\mathrm{r}-1|>4$

Accepted Answer

A)  $(5, \infty)$
  
B)  $(-3,5)$
  
C)  $(-\infty,-3) \cup(5, \infty)$
  
D)  $\varnothing$
  
A)  $(5, \infty)$
  
B)  $(-3,5)$
  
C)  $(-\infty,-3) \cup(5, \infty)$
  
D)  $\varnothing$

Question 12

Solve the percent problem.
-After spending $\$ 3650$ for tables and $\$ 3250$ for chairs, a convention center manager finds that $15 \%$ of his original budget remains. Find the amount that remains. Round your answer to the nearest dollar, if necessary.

Accepted Answer

A)  $\$ 1218$ 
B)  $\$ 1035$ 
C)  $\$ 3824$ 
D)  $\$ 8118$ 
A)  $\$ 1218$ 
B)  $\$ 1035$ 
C)  $\$ 3824$ 
D)  $\$ 8118$

Question 13

Solve the problem.
-Find the area of a triangle with height $16 \mathrm{~m}$ and base $13 \mathrm{~m}$.

Accepted Answer

A)  $104 \mathrm{~m}^{2}$ 
B)  $208 \mathrm{~m}^{2}$ 
C)  $416 \mathrm{~m}^{2}$ 
D)  $14.5 \mathrm{~m}^{2}$ 
A)  $104 \mathrm{~m}^{2}$ 
B)  $208 \mathrm{~m}^{2}$ 
C)  $416 \mathrm{~m}^{2}$ 
D)  $14.5 \mathrm{~m}^{2}$

Question 14

Solve the inequality. Give the solution set in both interval and graph forms.
-$a+12<7$

Accepted Answer

A)  
$ (-5, \infty) $
  
B)  
$ [-5, \infty) $
  
C)  
$ (-\infty,-5) $
  
D)  
$ (-\infty,-5] $
  
A)  
$ (-5, \infty) $
  
B)  
$ [-5, \infty) $
  
C)  
$ (-\infty,-5) $
  
D)  
$ (-\infty,-5] $

Question 15

Solve the inequality. Give the solution set in both interval and graph forms.
-$5 x+5(x-7)>10 x-2$

Accepted Answer

A)  $ (-\infty, 0) $
  
B)  $ \varnothing $
  
C)  $ (0, \infty) $
  
D)  $ (-\infty, \infty) $
  
A)  $ (-\infty, 0) $
  
B)  $ \varnothing $
  
C)  $ (0, \infty) $
  
D)  $ (-\infty, \infty) $

Question 16

Solve the problem.
-Find the measures of the complementary angles.

Accepted Answer

A)  $42^{\circ}, 48^{\circ}$ 
B)  $40^{\circ}, 50^{\circ}$ 
C)  $80^{\circ}, 100^{\circ}$ 
D)  $45^{\circ}, 45^{\circ}$ 
A)  $42^{\circ}, 48^{\circ}$ 
B)  $40^{\circ}, 50^{\circ}$ 
C)  $80^{\circ}, 100^{\circ}$ 
D)  $45^{\circ}, 45^{\circ}$

Question 17

Solve.
-$-3 \mathrm{~s}+7 \mathrm{p}=\mathrm{tp}-7$ for $\mathrm{p}$

Accepted Answer

A)  $\mathrm{p}=\frac{7-\mathrm{t}}{3 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{-3 \mathrm{~s}+7}$ 
B)  $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{7}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{-7}$ 
C)  $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{\mathrm{t}}$ 
D)  $p=\frac{3 s-7}{7-t}$ or $p=\frac{-3 s+7}{t-7}$ 
A)  $\mathrm{p}=\frac{7-\mathrm{t}}{3 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{-3 \mathrm{~s}+7}$ 
B)  $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{7}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{-7}$ 
C)  $\mathrm{p}=\frac{-3 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{3 \mathrm{~s}-7}{\mathrm{t}}$ 
D)  $p=\frac{3 s-7}{7-t}$ or $p=\frac{-3 s+7}{t-7}$

Question 18

Solve the equation.
-$|\mathrm{n}-6|=|6-\mathrm{n}|$

Accepted Answer

A)  $\{6\}$ 
B)  $\varnothing$ 
C)  $\{0\}$ 
D)  $\{12\}$ 
A)  $\{6\}$ 
B)  $\varnothing$ 
C)  $\{0\}$ 
D)  $\{12\}$

Question 19

Solve the equation.
-$42 \mathrm{~s}+20=12 \mathrm{~s}$

Accepted Answer

A)  $\left\{\frac{10}{27}\right\}$ 
B)  $\left\{-\frac{2}{3}\right\}$ 
C)  $\left\{\frac{3}{2}\right\}$ 
D)  $\left\{\frac{2}{3}\right\}$ 
A)  $\left\{\frac{10}{27}\right\}$ 
B)  $\left\{-\frac{2}{3}\right\}$ 
C)  $\left\{\frac{3}{2}\right\}$ 
D)  $\left\{\frac{2}{3}\right\}$

Question 20

Solve the inequality. Give the solution set in both interval and graph forms.
-$12<-4 x \leq 28$

Accepted Answer

A)  $ (-7,-3] $
  
B)  $ [3,7) $
  
C)  $ [-7,-3) $
  
D)  $ (3,7] $
  
A)  $ (-7,-3] $
  
B)  $ [3,7) $
  
C)  $ [-7,-3) $
  
D)  $ (3,7] $

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. - $A \cap B$

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - $2(12 t+8)=4(4 t+2)$

Solve the equation or inequality. - $|3 x-8|+9<0$

Solve the problem. -What is the perimeter of a rectangle of length $15 \mathrm{ft}$ and width $13 \mathrm{ft}$ ?

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -8 more than a number

Decide whether the following is an expression or an equation. - $-4(x-9)-3(x+4)-4 x$

Solve the problem. -There were 540 people at a play. The admission price was $\$ 2.00$ for adults and $\$ 1.00$ for children. The admission receipts were $\$ 890$ . How many adults and children attended?

If $b<0$ , is it true that $b^{2}>b$ ? Explain.

For the compound inequality, give the solution set in both interval and graph forms. - $-4 x+1 \geq 9$ or $6 x+3 \geq-21$ $For the compound inequality, give the solution set in both interval and graph forms. - -4 x+1 \geq 9 or 6 x+3 \geq-21$

Solve the compound or absolute value inequality. - $\mid$ y $-8 \mid \leq-15$

Solve the inequality and graph the solution set. - $|\mathrm{r}-1|>4$ $Solve the inequality and graph the solution set. - |\mathrm{r}-1|>4$

Solve the percent problem. -After spending $\$ 3650$ for tables and $\$ 3250$ for chairs, a convention center manager finds that $15 \%$ of his original budget remains. Find the amount that remains. Round your answer to the nearest dollar, if necessary.

Solve the problem. -Find the area of a triangle with height $16 \mathrm{~m}$ and base $13 \mathrm{~m}$ .

Solve the inequality. Give the solution set in both interval and graph forms. - $a+12<7$

Solve the inequality. Give the solution set in both interval and graph forms. - $5 x+5(x-7)>10 x-2$

Solve the problem. -Find the measures of the complementary angles.

Solve. - $-3 \mathrm{~s}+7 \mathrm{p}=\mathrm{tp}-7$ for $\mathrm{p}$

Solve the equation. - $|\mathrm{n}-6|=|6-\mathrm{n}|$

Solve the equation. - $42 \mathrm{~s}+20=12 \mathrm{~s}$

Solve the inequality. Give the solution set in both interval and graph forms. - $12<-4 x \leq 28$ $Solve the inequality. Give the solution set in both interval and graph forms. - 12<-4 x \leq 28$

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

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. - A∩BA \cap BA∩B

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - 2(12t+8)=4(4t+2)2(12 t+8)=4(4 t+2)2(12t+8)=4(4t+2)

Solve the equation or inequality. - ∣3x−8∣+9<0|3 x-8|+9<0∣3x−8∣+9<0

Solve the problem. -What is the perimeter of a rectangle of length 15ft15 \mathrm{ft}15ft and width 13ft13 \mathrm{ft}13ft ?