Question 1

Decide whether the following is an expression or an equation.
-$5(2 x-4)=9(x+4)$

Accepted Answer

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

Question 2

The solution set of the equation $7 y-6=7 y+3$ is $\{0\}$. Explain.

Accepted Answer

A) True 
 B)False

Question 3

Solve the problem.
-Thompson's Hardware spent $\$ 49,170$ this year on utility costs alone. If total sales were $\$ 258,800$, what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if necessary.

Accepted Answer

A)  $19 \%$ 
B)  $5.3 \%$ 
C)  $1.9 \%$ 
D)  $53 \%$ 
A)  $19 \%$ 
B)  $5.3 \%$ 
C)  $1.9 \%$ 
D)  $53 \%$

Question 4

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-10 less than a number

Accepted Answer

A)  $10-x$ 
B)  $x-10$ 
C)  $10 x$ 
D)  $x+10$ 
A)  $10-x$ 
B)  $x-10$ 
C)  $10 x$ 
D)  $x+10$

Question 5

Solve the equation.
-$5 \mathrm{~m}+7+4(3 \mathrm{~m}-3)=3(\mathrm{~m}+3)$

Accepted Answer

A)  $\left\{\frac{7}{10}\right\}$ 
B)  $\{1\}$ 
C)  $\{2\}$ 
D)  $\left\{\frac{2}{7}\right\}$ 
A)  $\left\{\frac{7}{10}\right\}$ 
B)  $\{1\}$ 
C)  $\{2\}$ 
D)  $\left\{\frac{2}{7}\right\}$

Question 6

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.
-$2(x+4)-3(x-5)=0$

Accepted Answer

A)  Equation; $\{23\}$ 
B)  Equation; $\{-7\}$ 
C)  Expression; $2 x+3$ 
D)  Expression; $2 x-5$ 
A)  Equation; $\{23\}$ 
B)  Equation; $\{-7\}$ 
C)  Expression; $2 x+3$ 
D)  Expression; $2 x-5$

Question 7

Solve the problem.
-A convention manager finds that she has $\$ 1310$, made up of twenties and fifties. She has a total of 43 bills. How many fifty-dollar bills does the manager have?

Accepted Answer

A)  28 
B)  15 
C)  10 
D)  43 
A)  28 
B)  15 
C)  10 
D)  43

Question 8

Solve the problem.
-Gloria collected 23 fantail and comet goldfish. There were 11 fewer fantails than comets. How many comets did Gloria have?

Accepted Answer

A)  6 comets 
B)  14 comets 
C)  12 comets 
D)  17 comets 
A)  6 comets 
B)  14 comets 
C)  12 comets 
D)  17 comets

Question 9

Solve the equation.
-$|2-0.01 x|=2$

Accepted Answer

A)  $\{400\}$ 
B)  $\{0,400\}$ 
C)  $\{200\}$ 
D)  $\{0,200\}$ 
A)  $\{400\}$ 
B)  $\{0,400\}$ 
C)  $\{200\}$ 
D)  $\{0,200\}$

Question 10

Solve the problem.
-Find the total amount in an account if $\$ 300$ is invested at $11 \%$ simple interest for 2 years.

Accepted Answer

A)  $\$ 354.55$ 
B)  $\$ 66.00$ 
C)  $\$ 366.00$ 
D)  $\$ 333.00$ 
A)  $\$ 354.55$ 
B)  $\$ 66.00$ 
C)  $\$ 366.00$ 
D)  $\$ 333.00$

Question 11

Two angles are complementary. One of the angles is r. How do you express the other angle?

Accepted Answer

The answer of Two angles are complementary. One of the...

Question 12

Solve the equation.
-$\frac{x+4}{27}+\frac{x-2}{54}=\frac{x+2}{18}$

Accepted Answer

A)  $\{18\}$ 
B)  $\varnothing$ 
C)  $(-\infty, \infty)$ 
D)  $\{9\}$ 
A)  $\{18\}$ 
B)  $\varnothing$ 
C)  $(-\infty, \infty)$ 
D)  $\{9\}$

Question 13

Solve the equation or inequality.
-$|m+6|=0$

Accepted Answer

A)  $(-\infty,-6)$ 
B)  $(6, \infty)$ 
C)  $\{6,-6\}$ 
D)  $\{-6\}$ 
A)  $(-\infty,-6)$ 
B)  $(6, \infty)$ 
C)  $\{6,-6\}$ 
D)  $\{-6\}$

Question 14

Solve the problem.
-A mixture of chlorine and water contains a total of 45 gallons of liquid. There are 26 gallons of pure chlorine in the mixture. (i) What percent of the mixture is water? (ii) What percent of the mixture is chlorine? Round your answer to the nearest percent, if necessary.

Accepted Answer

A)  (i) $42 \%$ water;(ii) $58 \%$ chlorine 
B)  (i) $64 \%$ water;(ii) $36 \%$ chlorine 
C)  (i) $58 \%$ water;(ii) $42 \%$ chlorine 
D)  (i) $26 \%$ water;(ii) $74 \%$ chlorine 
A)  (i) $42 \%$ water;(ii) $58 \%$ chlorine 
B)  (i) $64 \%$ water;(ii) $36 \%$ chlorine 
C)  (i) $58 \%$ water;(ii) $42 \%$ chlorine 
D)  (i) $26 \%$ water;(ii) $74 \%$ chlorine

Question 15

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 either enough paint or enough border or both. (Assume a ceiling height of 8 ' for each room.)

Accepted Answer

A)  {Jane, Sam, Yong Sun, Sun Woo} 
B)  All 
C)  $\{$ Consuela, Manuel $\}$ 
D)  None 
A)  {Jane, Sam, Yong Sun, Sun Woo} 
B)  All 
C)  $\{$ Consuela, Manuel $\}$ 
D)  None

Question 16

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 names of each decorator and the size of the room.

Give the names of the decorators who will have both enough paint and enough border for their rooms. (Assume a ceiling height of 8 ' for each room.)

Accepted Answer

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

Question 17

Decide if the statement is .
--1 is a solution of $-3 x-1=2$.

Accepted Answer

A) True 
 B)False

Question 18

Solve the problem.
-Jim has gotten scores of 84 and 77 on his first two tests. What score must he get on his third test to keep an average of 75 or greater?

Accepted Answer

A)  At least 80.5 
B)  At least 64 
C)  At least 63 
D)  At least 78.7 
A)  At least 80.5 
B)  At least 64 
C)  At least 63 
D)  At least 78.7

Question 19

Solve the equation.
-$|8 m+7|=8$

Accepted Answer

A)  $\varnothing$ 
B)  $\left\{-\frac{1}{8}, \frac{15}{8}\right\}$ 
C)  $\left\{\frac{1}{8},-\frac{15}{8}\right\}$ 
D)  $\left\{\frac{1}{7},-\frac{15}{7}\right\}$ 
A)  $\varnothing$ 
B)  $\left\{-\frac{1}{8}, \frac{15}{8}\right\}$ 
C)  $\left\{\frac{1}{8},-\frac{15}{8}\right\}$ 
D)  $\left\{\frac{1}{7},-\frac{15}{7}\right\}$

Question 20

Solve the problem.
-Jay drove 268 kilometers at the average rate of 67 kilometers per hour. How long did the trip take?

Accepted Answer

A)  3 hours 
B)  2 hours 
C)  4 hours 
D)  5 hours 
A)  3 hours 
B)  2 hours 
C)  4 hours 
D)  5 hours

Decide whether the following is an expression or an equation. - $5(2 x-4)=9(x+4)$

The solution set of the equation $7 y-6=7 y+3$ is $\{0\}$ . Explain.

Solve the problem. -Thompson's Hardware spent $\$ 49,170$ this year on utility costs alone. If total sales were $\$ 258,800$ , what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if necessary.

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -10 less than a number

Solve the equation. - $5 \mathrm{~m}+7+4(3 \mathrm{~m}-3)=3(\mathrm{~m}+3)$

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $2(x+4)-3(x-5)=0$

Solve the problem. -A convention manager finds that she has $\$ 1310$ , made up of twenties and fifties. She has a total of 43 bills. How many fifty-dollar bills does the manager have?

Solve the problem. -Gloria collected 23 fantail and comet goldfish. There were 11 fewer fantails than comets. How many comets did Gloria have?

Solve the equation. - $|2-0.01 x|=2$

Solve the problem. -Find the total amount in an account if $\$ 300$ is invested at $11 \%$ simple interest for 2 years.

Two angles are complementary. One of the angles is r. How do you express the other angle?

Solve the equation. - $\frac{x+4}{27}+\frac{x-2}{54}=\frac{x+2}{18}$

Solve the equation or inequality. - $|m+6|=0$

Solve the problem. -A mixture of chlorine and water contains a total of 45 gallons of liquid. There are 26 gallons of pure chlorine in the mixture. (i) What percent of the mixture is water? (ii) What percent of the mixture is chlorine? Round your answer to the nearest percent, if necessary.

Decide if the statement is . --1 is a solution of $-3 x-1=2$ .

Solve the problem. -Jim has gotten scores of 84 and 77 on his first two tests. What score must he get on his third test to keep an average of 75 or greater?

Solve the equation. - $|8 m+7|=8$

Solve the problem. -Jay drove 268 kilometers at the average rate of 67 kilometers per hour. How long did the trip take?

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 whether the following is an expression or an equation. - 5(2x−4)=9(x+4)5(2 x-4)=9(x+4)5(2x−4)=9(x+4)

The solution set of the equation 7y−6=7y+37 y-6=7 y+37y−6=7y+3 is {0}\{0\}{0} . Explain.

Solve the problem. -Thompson's Hardware spent $49,170\$ 49,170$49,170 this year on utility costs alone. If total sales were $258,800\$ 258,800$258,800 , what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if necessary.

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -10 less than a number

Solve the equation. - 5 m+7+4(3 m−3)=3( m+3)5 \mathrm{~m}+7+4(3 \mathrm{~m}-3)=3(\mathrm{~m}+3)5 m+7+4(3 m−3)=3( m+3)

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - 2(x+4)−3(x−5)=02(x+4)-3(x-5)=02(x+4)−3(x−5)=0

Solve the problem. -A convention manager finds that she has $1310\$ 1310$1310 , made up of twenties and fifties. She has a total of 43 bills. How many fifty-dollar bills does the manager have?

Solve the problem. -Gloria collected 23 fantail and comet goldfish. There were 11 fewer fantails than comets. How many comets did Gloria have?

Solve the equation. - ∣2−0.01x∣=2|2-0.01 x|=2∣2−0.01x∣=2

Solve the problem. -Find the total amount in an account if $300\$ 300$300 is invested at 11%11 \%11% simple interest for 2 years.

Two angles are complementary. One of the angles is r. How do you express the other angle?

Solve the equation. - x+427+x−254=x+218\frac{x+4}{27}+\frac{x-2}{54}=\frac{x+2}{18}27x+4​+54x−2​=18x+2​

Solve the equation or inequality. - ∣m+6∣=0|m+6|=0∣m+6∣=0

Solve the problem. -A mixture of chlorine and water contains a total of 45 gallons of liquid. There are 26 gallons of pure chlorine in the mixture. (i) What percent of the mixture is water? (ii) What percent of the mixture is chlorine? Round your answer to the nearest percent, if necessary.

Decide if the statement is . --1 is a solution of −3x−1=2-3 x-1=2−3x−1=2 .

Solve the problem. -Jim has gotten scores of 84 and 77 on his first two tests. What score must he get on his third test to keep an average of 75 or greater?

Solve the equation. - ∣8m+7∣=8|8 m+7|=8∣8m+7∣=8

Solve the problem. -Jay drove 268 kilometers at the average rate of 67 kilometers per hour. How long did the trip take?

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 whether the following is an expression or an equation. - $5(2 x-4)=9(x+4)$

The solution set of the equation $7 y-6=7 y+3$ is $\{0\}$ . Explain.

Solve the problem. -Thompson's Hardware spent $\$ 49,170$ this year on utility costs alone. If total sales were $\$ 258,800$ , what percent of total sales was spent on utility costs? Round to the nearest tenth of a percent, if necessary.

Solve the equation. - $5 \mathrm{~m}+7+4(3 \mathrm{~m}-3)=3(\mathrm{~m}+3)$

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $2(x+4)-3(x-5)=0$

Solve the problem. -A convention manager finds that she has $\$ 1310$ , made up of twenties and fifties. She has a total of 43 bills. How many fifty-dollar bills does the manager have?

Solve the equation. - $|2-0.01 x|=2$

Solve the problem. -Find the total amount in an account if $\$ 300$ is invested at $11 \%$ simple interest for 2 years.

Solve the equation. - $\frac{x+4}{27}+\frac{x-2}{54}=\frac{x+2}{18}$

Solve the equation or inequality. - $|m+6|=0$

Decide if the statement is . --1 is a solution of $-3 x-1=2$ .

Solve the equation. - $|8 m+7|=8$