Question 1

$31=4 \mathrm{x}-5$

Accepted Answer

A)  $\{36\}$ 
B)  $\{12\}$ 
C)  $\{9\}$ 
D)  $\{32\}$ 
A)  $\{36\}$ 
B)  $\{12\}$ 
C)  $\{9\}$ 
D)  $\{32\}$

Question 2

Write the word or phrase that best completes each statement or answers thequestion.
-If $a \leq b$, is it always true that $a-7 \leq b-7$ ? Explain.

Accepted Answer

A) True 
 B)False

Question 3

$|8 x+6|=-7$

Accepted Answer

A)  $\left\{-\frac{13}{8}\right\}$ 
B)  $\left\{-\frac{1}{8}, \frac{13}{8}\right\}$ 
C)  $\left\{\frac{1}{8},-\frac{13}{8}\right\}$ 
D)  $\varnothing$ 
A)  $\left\{-\frac{13}{8}\right\}$ 
B)  $\left\{-\frac{1}{8}, \frac{13}{8}\right\}$ 
C)  $\left\{\frac{1}{8},-\frac{13}{8}\right\}$ 
D)  $\varnothing$

Question 4

$|\mathrm{x}-8|=|2 \mathrm{x}-3|$

Accepted Answer

A)  $\left\{5,-\frac{11}{3}\right\}$ 
B)  $\{-5\}$ 
C)  $\left\{-5, \frac{11}{3}\right\}$ 
D)  $\varnothing$ 
A)  $\left\{5,-\frac{11}{3}\right\}$ 
B)  $\{-5\}$ 
C)  $\left\{-5, \frac{11}{3}\right\}$ 
D)  $\varnothing$

Question 5

Write the given expression using words.
-$x-2$

Accepted Answer

A)  Two more than a number 
B)  Two less than a number 
C)  Two added to a number 
D)  Two times a number 
A)  Two more than a number 
B)  Two less than a number 
C)  Two added to a number 
D)  Two times a number

Question 6

Build a variable expression for the given phrase
-Two times the difference of two numbers.

Accepted Answer

A)  $2 \mathrm{x}-\mathrm{y}$ 
B)  $x-2 y$ 
C)  $2(x \div y)$ 
D)  $2(x-y)$ 
A)  $2 \mathrm{x}-\mathrm{y}$ 
B)  $x-2 y$ 
C)  $2(x \div y)$ 
D)  $2(x-y)$

Question 7

Graph the inequality
-$\mathrm{x}<7$

Accepted Answer

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

Question 8

$-18=10 \mathrm{x}+2$

Accepted Answer

A)  $\{2\}$ 
B)  $\{3\}$ 
C)  $\{-30\}$ 
D)  $\{26\}$ 
A)  $\{2\}$ 
B)  $\{3\}$ 
C)  $\{-30\}$ 
D)  $\{26\}$

Question 9

If $x<4$ then $-2 x<-8$.

Accepted Answer

A) True 
 B)False

Question 10

Write the inequality in interval notation
-x > 7

Accepted Answer

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

Question 11

Graph the solution on a number line, and express it in interval notation.
-$-4 \leq \frac{\mathrm{x}}{-6}$

Accepted Answer

A)  $\mathrm{x}24,(24, \infty)$
  
C)  $\mathrm{x} \geq 24,[24, \infty)$
  
D)  $\mathrm{x} \leq 24,(\infty, 24]$
  
A)  $\mathrm{x}24,(24, \infty)$
  
C)  $\mathrm{x} \geq 24,[24, \infty)$
  
D)  $\mathrm{x} \leq 24,(\infty, 24]$

Question 12

Construct a 95% confidence interval for the population mean using the given information.
-Starting annual salary for all mechanical engineering graduates, $\overline{\mathrm{x}}=\$ 68,400, \mathrm{E}=\$ 14,280$

Accepted Answer

A)  $\$ 61,260<\mu<\$ 75,540$ 
B)  $\$ 54,120<\mu<\$ 82,680$ 
C)  $\$ 52,140<\mu<\$ 86,620$ 
D)  $\$ 62,210<\mu<\$ 74,550$ 
A)  $\$ 61,260<\mu<\$ 75,540$ 
B)  $\$ 54,120<\mu<\$ 82,680$ 
C)  $\$ 52,140<\mu<\$ 86,620$ 
D)  $\$ 62,210<\mu<\$ 74,550$

Question 13

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.
  
About how many students would you expect to prefer computers in a school of 800 students?

Accepted Answer

A)  About 144 students 
B)  About 288 students 
C)  About 36 students 
D)  About 160 students 
A)  About 144 students 
B)  About 288 students 
C)  About 36 students 
D)  About 160 students

Question 14

Simplify, where possible
-$8 y-8(6 y-2)$

Accepted Answer

A)  $-40 y-16$ 
B)  $-40 y-2$ 
C)  $8 y+16$ 
D)  $-40 y+16$ 
A)  $-40 y-16$ 
B)  $-40 y-2$ 
C)  $8 y+16$ 
D)  $-40 y+16$

$31=4 \mathrm{x}-5$

Write the word or phrase that best completes each statement or answers thequestion. -If $a \leq b$ , is it always true that $a-7 \leq b-7$ ? Explain.

$|8 x+6|=-7$

$|\mathrm{x}-8|=|2 \mathrm{x}-3|$

Write the given expression using words. - $x-2$

Build a variable expression for the given phrase -Two times the difference of two numbers.

Graph the inequality - $\mathrm{x}<7$ $Graph the inequality - \mathrm{x}<7$

$-18=10 \mathrm{x}+2$

If $x<4$ then $-2 x<-8$ .

Write the inequality in interval notation -x > 7

Graph the solution on a number line, and express it in interval notation. - $-4 \leq \frac{\mathrm{x}}{-6}$ $Graph the solution on a number line, and express it in interval notation. - -4 \leq \frac{\mathrm{x}}{-6}$

Construct a 95% confidence interval for the population mean using the given information. -Starting annual salary for all mechanical engineering graduates, $\overline{\mathrm{x}}=\$ 68,400, \mathrm{E}=\$ 14,280$

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question. About how many students would you expect to prefer computers in a school of 800 students?

Simplify, where possible - $8 y-8(6 y-2)$

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear and Absolute Value Equations and Inequalities

31=4x−531=4 \mathrm{x}-531=4x−5

Write the word or phrase that best completes each statement or answers thequestion. -If a≤ba \leq ba≤b , is it always true that a−7≤b−7a-7 \leq b-7a−7≤b−7 ? Explain.

∣8x+6∣=−7|8 x+6|=-7∣8x+6∣=−7

∣x−8∣=∣2x−3∣|\mathrm{x}-8|=|2 \mathrm{x}-3|∣x−8∣=∣2x−3∣

Write the given expression using words. - x−2x-2x−2

Build a variable expression for the given phrase -Two times the difference of two numbers.

Graph the inequality - x<7\mathrm{x}<7x<7

−18=10x+2-18=10 \mathrm{x}+2−18=10x+2

If x<4x<4x<4 then −2x<−8-2 x<-8−2x<−8 .

Write the inequality in interval notation -x > 7

Graph the solution on a number line, and express it in interval notation. - −4≤x−6-4 \leq \frac{\mathrm{x}}{-6}−4≤−6x​

Construct a 95% confidence interval for the population mean using the given information. -Starting annual salary for all mechanical engineering graduates, x‾=$68,400,E=$14,280\overline{\mathrm{x}}=\$ 68,400, \mathrm{E}=\$ 14,280x=$68,400,E=$14,280

A survey showed that students had these preferences for instructional materials. Use the graph to answer the question. About how many students would you expect to prefer computers in a school of 800 students?

Simplify, where possible - 8y−8(6y−2)8 y-8(6 y-2)8y−8(6y−2)

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

$31=4 \mathrm{x}-5$

Write the word or phrase that best completes each statement or answers thequestion. -If $a \leq b$ , is it always true that $a-7 \leq b-7$ ? Explain.

$|8 x+6|=-7$

$|\mathrm{x}-8|=|2 \mathrm{x}-3|$

Write the given expression using words. - $x-2$

Graph the inequality - $\mathrm{x}<7$ $Graph the inequality - \mathrm{x}<7$

$-18=10 \mathrm{x}+2$

If $x<4$ then $-2 x<-8$ .

Graph the solution on a number line, and express it in interval notation. - $-4 \leq \frac{\mathrm{x}}{-6}$ $Graph the solution on a number line, and express it in interval notation. - -4 \leq \frac{\mathrm{x}}{-6}$

Construct a 95% confidence interval for the population mean using the given information. -Starting annual salary for all mechanical engineering graduates, $\overline{\mathrm{x}}=\$ 68,400, \mathrm{E}=\$ 14,280$

Simplify, where possible - $8 y-8(6 y-2)$