Question 1

Decide if the statement is .
--2 is a solution of $9 x=-20$.

Accepted Answer

A) True 
 B)False

Question 2

Graph the union or intersection of the two sets, as requested.
-Intersection

Accepted Answer

A)  
  
B) 
  
C) 
  
A)  
  
B) 
  
C)

Question 3

Solve the problem.
-During one year, the Larsons' real estate bill included $\$ 480$ for local schools. Of this amount, $\$ 130$ went to the high school district. What percent did the Larsons pay to the high school district? Round your answer to two decimal places.

Accepted Answer

A)  $26.88 \%$ 
B)  $35.00 \%$ 
C)  $72.92 \%$ 
D)  $27.08 \%$ 
A)  $26.88 \%$ 
B)  $35.00 \%$ 
C)  $72.92 \%$ 
D)  $27.08 \%$

Question 4

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.
-$-4(x+1)+6(x-4)=8$

Accepted Answer

A)  Expression; $2 x-36$ 
B)  Equation; {18} 
C)  Equation; $\left\{-\frac{18}{5}\right\}$ 
D)  Expression; $2 x+20$ 
A)  Expression; $2 x-36$ 
B)  Equation; {18} 
C)  Equation; $\left\{-\frac{18}{5}\right\}$ 
D)  Expression; $2 x+20$

Question 5

Solve the equation for $y$.
-$3 x-7 y=3$

Accepted Answer

A)  $y=\frac{3+3 x}{-7}$, or $y=\frac{3 x+3}{7}$ 
B)  $y=\frac{-3-3 x}{-7}$, or $y=\frac{3 x+3}{7}$ 
C)  $y=\frac{-3+3 x}{-7}$, or $y=\frac{-3 x+3}{7}$ 
D)  $y=\frac{3-3 x}{-7}$, or $y=\frac{3 x-3}{7}$ 
A)  $y=\frac{3+3 x}{-7}$, or $y=\frac{3 x+3}{7}$ 
B)  $y=\frac{-3-3 x}{-7}$, or $y=\frac{3 x+3}{7}$ 
C)  $y=\frac{-3+3 x}{-7}$, or $y=\frac{-3 x+3}{7}$ 
D)  $y=\frac{3-3 x}{-7}$, or $y=\frac{3 x-3}{7}$

Question 6

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms.
-

Accepted Answer

A)  Intersection; $(-\infty, 3)$
  
B)  Union; $(-\infty, \infty)$
  
C)  Intersection; $[-8,3)$
  
D)  Intersection; $\varnothing$
  
A)  Intersection; $(-\infty, 3)$
  
B)  Union; $(-\infty, \infty)$
  
C)  Intersection; $[-8,3)$
  
D)  Intersection; $\varnothing$

Question 7

Solve the inequality. Give the solution set in both interval and graph forms.
-$-6 \leq \frac{3}{4} x-3 \leq 0$

Accepted Answer

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

Question 8

Solve the percent problem.
-An investor bought 100 shares of stock. The value of the shares went up $4 \%$ and then he sold them. How much did the investor pay for the 100 shares if he sold them for $\$ 1404$ ?

Accepted Answer

A)  $\$ 1354$ 
B)  $\$ 1400$ 
C)  $\$ 1350$ 
D)  $\$ 1460$ 
A)  $\$ 1354$ 
B)  $\$ 1400$ 
C)  $\$ 1350$ 
D)  $\$ 1460$

Question 9

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms.
-$x \leq-6$ or $x>5$

Accepted Answer

A)  Union; $[-6,5)$ 
  
B)  Union; $(-\infty,-6] \cup(5, \infty)$
  
C)  Intersection; $\varnothing$
  
D)  Union; $(-\infty, \infty)$
  
A)  Union; $[-6,5)$ 
  
B)  Union; $(-\infty,-6] \cup(5, \infty)$
  
C)  Intersection; $\varnothing$
  
D)  Union; $(-\infty, \infty)$

Question 10

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation.
-$\left|\frac{1}{2} x+\frac{1}{5}\right|+\frac{1}{4}=\frac{7}{4}$

Accepted Answer

A)  $\left(-\infty,-\frac{17}{5}\right] \cup\left[\frac{13}{5}, \infty\right)$ 
B)  $\left\{-\frac{17}{5}, \frac{13}{5}\right\}$ 
C)  $\left\{\frac{13}{5}\right\}$ 
D)  $\left\{0, \frac{13}{5}\right\}$ 
A)  $\left(-\infty,-\frac{17}{5}\right] \cup\left[\frac{13}{5}, \infty\right)$ 
B)  $\left\{-\frac{17}{5}, \frac{13}{5}\right\}$ 
C)  $\left\{\frac{13}{5}\right\}$ 
D)  $\left\{0, \frac{13}{5}\right\}$

Question 11

Solve the problem.
-The area of a trapezoid is 80 square feet. If the bases are $7 \mathrm{ft}$ and $13 \mathrm{ft}$, find the altitude of the trapezoid.

Accepted Answer

A)  $8 \mathrm{ft}$ 
B)  $4 \mathrm{ft}$ 
C)  $1.5 \mathrm{ft}$ 
D)  $16 \mathrm{ft}$ 
A)  $8 \mathrm{ft}$ 
B)  $4 \mathrm{ft}$ 
C)  $1.5 \mathrm{ft}$ 
D)  $16 \mathrm{ft}$

Question 12

Solve the inequality and graph the solution set.
-$|z-2| \geq 0$

Accepted Answer

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

Question 13

Solve the inequality and graph the solution set.
-$|1-x| \leq 9$

Accepted Answer

A)  $(-\infty,-8]$
  
B)  $(-\infty, 10]$
  
C)  $(-\infty,-8] \cup[10, \infty)$
  
D)  $[-8,10]$
  
A)  $(-\infty,-8]$
  
B)  $(-\infty, 10]$
  
C)  $(-\infty,-8] \cup[10, \infty)$
  
D)  $[-8,10]$

Question 14

Solve the problem.
-The graph shows the percent of students at a local high school who were enrolled in a foreign language class each school year during the 1980s.
 
What is the best estimate for the number of students not taking a language in 1981 if a total of 2030 students were enrolled in the school?

Accepted Answer

A)  711 students 
B)  661 students 
C)  1320 students 
D)  3248 students 
A)  711 students 
B)  661 students 
C)  1320 students 
D)  3248 students

Question 15

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

Accepted Answer

A)  $133^{\circ}, 47^{\circ}$ 
B)  $47^{\circ}, 43^{\circ}$ 
C)  $43^{\circ}, 47^{\circ}$ 
D)  $137^{\circ}, 43^{\circ}$ 
A)  $133^{\circ}, 47^{\circ}$ 
B)  $47^{\circ}, 43^{\circ}$ 
C)  $43^{\circ}, 47^{\circ}$ 
D)  $137^{\circ}, 43^{\circ}$

Question 16

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.
-$A \cap \varnothing$

Accepted Answer

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

Question 17

Graph the union or intersection of the two sets, as requested.
-Union

Accepted Answer

A) 
  
B) 
  
C) 
  
A) 
  
B) 
  
C)

Question 18

Solve the inequality. Give the solution set in both interval and graph forms.
-$20 x+40>5(3 x+5)$

Accepted Answer

A)  $ (20, \infty) $
  
B)  $ (-3, \infty) $
  
C)  $ (-\infty,-3) $
  
D)  $ (-\infty, 20) $
  
A)  $ (20, \infty) $
  
B)  $ (-3, \infty) $
  
C)  $ (-\infty,-3) $
  
D)  $ (-\infty, 20) $

Question 19

Use the variable $x$ for the unknown, and write an equation representing the verbal sentence. Then solve the problem.
-Four times a number added to 8 times the number equals 48.

Accepted Answer

A)  $8 x+4 x=48 ; 4$ 
B)  $4 x(8+x)=48 ;-4$ 
C)  $8 x-4 x=48 ; 4$ 
D)  $4(x+8)=48 x ;-4$ 
A)  $8 x+4 x=48 ; 4$ 
B)  $4 x(8+x)=48 ;-4$ 
C)  $8 x-4 x=48 ; 4$ 
D)  $4(x+8)=48 x ;-4$

Question 20

Solve the compound or absolute value inequality.
-$-3 x \leq-9$ or $9 x-6<3 x$

Accepted Answer

A)  $(1,3)$ 
B)  $[1,3]$ 
C)  $\varnothing$ 
D)  $(-\infty, 1) \cup[3, \infty)$ 
A)  $(1,3)$ 
B)  $[1,3]$ 
C)  $\varnothing$ 
D)  $(-\infty, 1) \cup[3, \infty)$

Decide if the statement is . --2 is a solution of $9 x=-20$ .

Graph the union or intersection of the two sets, as requested. -Intersection

Solve the problem. -During one year, the Larsons' real estate bill included $\$ 480$ for local schools. Of this amount, $\$ 130$ went to the high school district. What percent did the Larsons pay to the high school district? Round your answer to two decimal places.

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $-4(x+1)+6(x-4)=8$

Solve the equation for $y$ . - $3 x-7 y=3$

For the compound inequality, decide whether intersection or union should be used. Then give the solution set in both interval and graph forms. -

Solve the inequality. Give the solution set in both interval and graph forms. - $-6 \leq \frac{3}{4} x-3 \leq 0$ $Solve the inequality. Give the solution set in both interval and graph forms. - -6 \leq \frac{3}{4} x-3 \leq 0$

Solve the percent problem. -An investor bought 100 shares of stock. The value of the shares went up $4 \%$ and then he sold them. How much did the investor pay for the 100 shares if he sold them for $\$ 1404$ ?

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. - $\left|\frac{1}{2} x+\frac{1}{5}\right|+\frac{1}{4}=\frac{7}{4}$

Solve the problem. -The area of a trapezoid is 80 square feet. If the bases are $7 \mathrm{ft}$ and $13 \mathrm{ft}$ , find the altitude of the trapezoid.

Solve the inequality and graph the solution set. - $|z-2| \geq 0$ $Solve the inequality and graph the solution set. - |z-2| \geq 0$

Solve the inequality and graph the solution set. - $|1-x| \leq 9$ $Solve the inequality and graph the solution set. - |1-x| \leq 9$

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

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. - $A \cap \varnothing$

Graph the union or intersection of the two sets, as requested. -Union

Solve the inequality. Give the solution set in both interval and graph forms. - $20 x+40>5(3 x+5)$

Use the variable $x$ for the unknown, and write an equation representing the verbal sentence. Then solve the problem. -Four times a number added to 8 times the number equals 48.

Solve the compound or absolute value inequality. - $-3 x \leq-9$ or $9 x-6<3 x$

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 . --2 is a solution of 9x=−209 x=-209x=−20 .

Graph the union or intersection of the two sets, as requested. -Intersection

Solve the problem. -During one year, the Larsons' real estate bill included $480\$ 480$480 for local schools. Of this amount, $130\$ 130$130 went to the high school district. What percent did the Larsons pay to the high school district? Round your answer to two decimal places.

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - −4(x+1)+6(x−4)=8-4(x+1)+6(x-4)=8−4(x+1)+6(x−4)=8

Solve the equation for yyy . - 3x−7y=33 x-7 y=33x−7y=3