Question 1

Solve the equation.
-$|x|=1.1$

Accepted Answer

A)  $\{121\}$ 
B)  $\{1.1\}$ 
C)  $\{-1.1\}$ 
D)  $\{1.1,-1.1\}$ 
A)  $\{121\}$ 
B)  $\{1.1\}$ 
C)  $\{-1.1\}$ 
D)  $\{1.1,-1.1\}$

Question 2

Find the indicated intersection or union.
-Let $A=\{1,7,11,18,22\}$ and $B=\{7,18,22,26\}$. Write the set $A \cap B$.

Accepted Answer

A)  $\{7,18,22,26\}$ 
B)  $\{1,7,18,22\}$ 
C)  $\{7,18,22\}$ 
D)  $\{1,7,11,18,22,26\}$ 
A)  $\{7,18,22,26\}$ 
B)  $\{1,7,18,22\}$ 
C)  $\{7,18,22\}$ 
D)  $\{1,7,11,18,22,26\}$

Question 3

Solve the equation.
-$-0.5(30,000)+0.15 \mathrm{p}=0.02(30,000+\mathrm{p})$

Accepted Answer

A)  $\{2028\}$ 
B)  $\{20,280\}$ 
C)  $\{1,200,000\}$ 
D)  $\{120,000\}$ 
A)  $\{2028\}$ 
B)  $\{20,280\}$ 
C)  $\{1,200,000\}$ 
D)  $\{120,000\}$

Question 4

Decide if the statement is .
--2 is a solution of $7 x+6 x=-26$.

Accepted Answer

A) True 
 B)False

Question 5

For the compound inequality, give the solution set in both interval and graph forms.
-$-11<4 x+9$ and $2 x-5<-7$

Accepted Answer

A)  $(-5,-1)$
  
B)  $[-5,-1)$
  
C)  $[-5,-1]$
  
D)  $(-5,-1]$
  
A)  $(-5,-1)$
  
B)  $[-5,-1)$
  
C)  $[-5,-1]$
  
D)  $(-5,-1]$

Question 6

Each of six decorators has to paint a room (walls only) and put a wallpaper border around the room at the ceiling. One gallon of paint covers $400 \mathrm{sq} \mathrm{ft}$, and one roll of border contains five yards. Each decorator has one gallon of paint and three rolls of border.
-The list gives the name of each decorator and the size of the room.

Give the names of the decorators who will have neither enough paint nor enough border. (Assume a ceiling height of $8^{\prime}$ for each room.)

Accepted Answer

A)  {Jane, Roger} 
B)  $\{$ Juanita, Pedro $\}$ 
C)  {Yong Sun, Sergey} 
D)  None 
A)  {Jane, Roger} 
B)  $\{$ Juanita, Pedro $\}$ 
C)  {Yong Sun, Sergey} 
D)  None

Question 7

Solve the investment problem.
-A merchant has coffee worth $\$ 5$ a pound that she wishes to mix with 80 pounds of coffee worth $\$ 8$ a pound to get a mixture worth $\$ 7$ a pound. How many pounds of the $\$ 5$ coffee should be used?

Accepted Answer

A)  $40 \mathrm{lb}$ 
B)  $60 \mathrm{lb}$ 
C)  $20 \mathrm{lb}$ 
D)  $120 \mathrm{lb}$ 
A)  $40 \mathrm{lb}$ 
B)  $60 \mathrm{lb}$ 
C)  $20 \mathrm{lb}$ 
D)  $120 \mathrm{lb}$

Question 8

Solve the problem.
-The two largest oil spills together released 317 million gallons of oil into the oceans. The smaller of the two released 37 million gallons less than the larger of the two. How many million gallons of oil did the larger one release?

Accepted Answer

A)  177 million gallons 
B)  140 million gallons 
C)  107 million gallons 
D)  280 million gallons 
A)  177 million gallons 
B)  140 million gallons 
C)  107 million gallons 
D)  280 million gallons

Question 9

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.
-$7 \mathrm{x}-(5 \mathrm{x}-1)=2$

Accepted Answer

A)  Equation; $\left\{\frac{1}{2}\right\}$ 
B)  Expression; $2 x+5$ 
C)  Equation; $\left\{\frac{1}{12}\right\}$ 
D)  Expression; $5 x+2$ 
A)  Equation; $\left\{\frac{1}{2}\right\}$ 
B)  Expression; $2 x+5$ 
C)  Equation; $\left\{\frac{1}{12}\right\}$ 
D)  Expression; $5 x+2$

Question 10

"You win if your card contains the number 23 or the number 45" is an example of union applied to a real-life situation.

Accepted Answer

A) True 
 B)False

Question 11

Solve.
-$-9 y^{2}+w y-x=0$ for $w$

Accepted Answer

A)  $w=\frac{x-9 y^{2}}{y}$ 
B)  $w=\frac{9 y^{2}+y}{x}$ 
C)  $w=\frac{x+9 y^{2}}{y}$ 
D)  $w=-\frac{x+9 y^{2}}{y}$ 
A)  $w=\frac{x-9 y^{2}}{y}$ 
B)  $w=\frac{9 y^{2}+y}{x}$ 
C)  $w=\frac{x+9 y^{2}}{y}$ 
D)  $w=-\frac{x+9 y^{2}}{y}$

Question 12

Solve the equation.
-$\frac{7 x+3}{3}+2=-\frac{2 x}{7}$

Accepted Answer

A)  $\left\{-\frac{21}{55}\right\}$ 
B)  $\left\{-\frac{63}{55}\right\}$ 
C)  $\left\{-\frac{63}{43}\right\}$ 
D)  $\left\{\frac{21}{55}\right\}$ 
A)  $\left\{-\frac{21}{55}\right\}$ 
B)  $\left\{-\frac{63}{55}\right\}$ 
C)  $\left\{-\frac{63}{43}\right\}$ 
D)  $\left\{\frac{21}{55}\right\}$

Question 13

Find the indicated intersection or union.
-Let $\mathrm{A}=\{4,8,12,16\}$ and $\mathrm{B}=\{8,16,20,26\}$. Write the set $\mathrm{A} \cup \mathrm{B}$.

Accepted Answer

A)  $\{4,8,16,20\}$ 
B)  $\{4,8,12,16,20,26\}$ 
C)  $\{8,16,20\}$ 
D)  $\{8,16\}$ 
A)  $\{4,8,16,20\}$ 
B)  $\{4,8,12,16,20,26\}$ 
C)  $\{8,16,20\}$ 
D)  $\{8,16\}$

Question 14

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-Four times a number added to 9

Accepted Answer

A)  $4(x+9)$ 
B)  $4 x-9$ 
C)  $4 x(9+x)$ 
D)  $4 x+9$ 
A)  $4(x+9)$ 
B)  $4 x-9$ 
C)  $4 x(9+x)$ 
D)  $4 x+9$

Question 15

Solve the problem.
-Fantastic Flags, Inc. finds that the cost to make $x$ flags is $C=9 x+19,071$, while the revenue produced from them is $\mathrm{R}=23 \mathrm{x}$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of flags, $x$, that must be sold for the company to show a profit?

Accepted Answer

A)  610,272 
B)  266,994 
C)  1363 
D)  596 
A)  610,272 
B)  266,994 
C)  1363 
D)  596

Question 16

$(A \cap B) \cap C=A \cap(B \cap C)$

Accepted Answer

A) True 
 B)False

Question 17

Solve the equation.
-$\frac{y}{12}+9=14$

Accepted Answer

A)  $\{-62\}$ 
B)  $\{-60\}$ 
C)  $\{60\}$ 
D)  $\{62\}$ 
A)  $\{-62\}$ 
B)  $\{-60\}$ 
C)  $\{60\}$ 
D)  $\{62\}$

Question 18

Solve the equation.
-$\frac{b}{14}-4=-2$

Accepted Answer

A)  $\{30\}$ 
B)  $\{-28\}$ 
C)  $\{28\}$ 
D)  $\{-30\}$ 
A)  $\{30\}$ 
B)  $\{-28\}$ 
C)  $\{28\}$ 
D)  $\{-30\}$

Question 19

Solve the problem.
-A cashier has a total of 136 bills, made up of fives and tens. The total value of the money is $\$ 930$. How many ten-dollar bills does the cashier have?

Accepted Answer

A)  50 
B)  86 
C)  25 
D)  75 
A)  50 
B)  86 
C)  25 
D)  75

Question 20

Solve the problem.
-A woman has $\$ 1.70$ in dimes and nickels. She has 2 more dimes than nickels. How many nickels does she have?

Accepted Answer

A)  12 
B)  10 
C)  14 
D)  8 
A)  12 
B)  10 
C)  14 
D)  8

Solve the equation. - $|x|=1.1$

Find the indicated intersection or union. -Let $A=\{1,7,11,18,22\}$ and $B=\{7,18,22,26\}$ . Write the set $A \cap B$ .

Solve the equation. - $-0.5(30,000)+0.15 \mathrm{p}=0.02(30,000+\mathrm{p})$

Decide if the statement is . --2 is a solution of $7 x+6 x=-26$ .

For the compound inequality, give the solution set in both interval and graph forms. - $-11<4 x+9$ and $2 x-5<-7$

Solve the investment problem. -A merchant has coffee worth $\$ 5$ a pound that she wishes to mix with 80 pounds of coffee worth $\$ 8$ a pound to get a mixture worth $\$ 7$ a pound. How many pounds of the $\$ 5$ coffee should be used?

Solve the problem. -The two largest oil spills together released 317 million gallons of oil into the oceans. The smaller of the two released 37 million gallons less than the larger of the two. How many million gallons of oil did the larger one release?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $7 \mathrm{x}-(5 \mathrm{x}-1)=2$

"You win if your card contains the number 23 or the number 45" is an example of union applied to a real-life situation.

Solve. - $-9 y^{2}+w y-x=0$ for $w$

Solve the equation. - $\frac{7 x+3}{3}+2=-\frac{2 x}{7}$

Find the indicated intersection or union. -Let $\mathrm{A}=\{4,8,12,16\}$ and $\mathrm{B}=\{8,16,20,26\}$ . Write the set $\mathrm{A} \cup \mathrm{B}$ .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -Four times a number added to 9

$(A \cap B) \cap C=A \cap(B \cap C)$

Solve the equation. - $\frac{y}{12}+9=14$

Solve the equation. - $\frac{b}{14}-4=-2$

Solve the problem. -A cashier has a total of 136 bills, made up of fives and tens. The total value of the money is $\$ 930$ . How many ten-dollar bills does the cashier have?

Solve the problem. -A woman has $\$ 1.70$ in dimes and nickels. She has 2 more dimes than nickels. How many nickels does she have?

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

Solve the equation. - ∣x∣=1.1|x|=1.1∣x∣=1.1

Find the indicated intersection or union. -Let A={1,7,11,18,22}A=\{1,7,11,18,22\}A={1,7,11,18,22} and B={7,18,22,26}B=\{7,18,22,26\}B={7,18,22,26} . Write the set A∩BA \cap BA∩B .

Solve the equation. - −0.5(30,000)+0.15p=0.02(30,000+p)-0.5(30,000)+0.15 \mathrm{p}=0.02(30,000+\mathrm{p})−0.5(30,000)+0.15p=0.02(30,000+p)

Decide if the statement is . --2 is a solution of 7x+6x=−267 x+6 x=-267x+6x=−26 .

For the compound inequality, give the solution set in both interval and graph forms. - −11<4x+9-11<4 x+9−11<4x+9 and 2x−5<−72 x-5<-72x−5<−7

Solve the investment problem. -A merchant has coffee worth $5\$ 5$5 a pound that she wishes to mix with 80 pounds of coffee worth $8\$ 8$8 a pound to get a mixture worth $7\$ 7$7 a pound. How many pounds of the $5\$ 5$5 coffee should be used?

Solve the problem. -The two largest oil spills together released 317 million gallons of oil into the oceans. The smaller of the two released 37 million gallons less than the larger of the two. How many million gallons of oil did the larger one release?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - 7x−(5x−1)=27 \mathrm{x}-(5 \mathrm{x}-1)=27x−(5x−1)=2

"You win if your card contains the number 23 or the number 45" is an example of union applied to a real-life situation.

Solve. - −9y2+wy−x=0-9 y^{2}+w y-x=0−9y2+wy−x=0 for www

Solve the equation. - 7x+33+2=−2x7\frac{7 x+3}{3}+2=-\frac{2 x}{7}37x+3​+2=−72x​

Find the indicated intersection or union. -Let A={4,8,12,16}\mathrm{A}=\{4,8,12,16\}A={4,8,12,16} and B={8,16,20,26}\mathrm{B}=\{8,16,20,26\}B={8,16,20,26} . Write the set A∪B\mathrm{A} \cup \mathrm{B}A∪B .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -Four times a number added to 9

(A∩B)∩C=A∩(B∩C)(A \cap B) \cap C=A \cap(B \cap C)(A∩B)∩C=A∩(B∩C)

Solve the equation. - y12+9=14\frac{y}{12}+9=1412y​+9=14

Solve the equation. - b14−4=−2\frac{b}{14}-4=-214b​−4=−2

Solve the problem. -A cashier has a total of 136 bills, made up of fives and tens. The total value of the money is $930\$ 930$930 . How many ten-dollar bills does the cashier have?

Solve the problem. -A woman has $1.70\$ 1.70$1.70 in dimes and nickels. She has 2 more dimes than nickels. How many nickels does she have?

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

Solve the equation. - $|x|=1.1$

Find the indicated intersection or union. -Let $A=\{1,7,11,18,22\}$ and $B=\{7,18,22,26\}$ . Write the set $A \cap B$ .

Solve the equation. - $-0.5(30,000)+0.15 \mathrm{p}=0.02(30,000+\mathrm{p})$

Decide if the statement is . --2 is a solution of $7 x+6 x=-26$ .

For the compound inequality, give the solution set in both interval and graph forms. - $-11<4 x+9$ and $2 x-5<-7$

Solve the investment problem. -A merchant has coffee worth $\$ 5$ a pound that she wishes to mix with 80 pounds of coffee worth $\$ 8$ a pound to get a mixture worth $\$ 7$ a pound. How many pounds of the $\$ 5$ coffee should be used?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $7 \mathrm{x}-(5 \mathrm{x}-1)=2$

Solve. - $-9 y^{2}+w y-x=0$ for $w$

Solve the equation. - $\frac{7 x+3}{3}+2=-\frac{2 x}{7}$

Find the indicated intersection or union. -Let $\mathrm{A}=\{4,8,12,16\}$ and $\mathrm{B}=\{8,16,20,26\}$ . Write the set $\mathrm{A} \cup \mathrm{B}$ .

$(A \cap B) \cap C=A \cap(B \cap C)$

Solve the equation. - $\frac{y}{12}+9=14$

Solve the equation. - $\frac{b}{14}-4=-2$

Solve the problem. -A cashier has a total of 136 bills, made up of fives and tens. The total value of the money is $\$ 930$ . How many ten-dollar bills does the cashier have?

Solve the problem. -A woman has $\$ 1.70$ in dimes and nickels. She has 2 more dimes than nickels. How many nickels does she have?