Question 1

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|8 x-4|-9>-18$

Accepted Answer

A)  $(-\infty, \infty)$
  
B)  $\left(-\infty,-\frac{5}{8}\right) \cup\left(\frac{13}{8}, \infty\right)$
  
C)  $\left(-\frac{5}{8}, \infty\right)$
  
D)  $\varnothing$
  
A)  $(-\infty, \infty)$
  
B)  $\left(-\infty,-\frac{5}{8}\right) \cup\left(\frac{13}{8}, \infty\right)$
  
C)  $\left(-\frac{5}{8}, \infty\right)$
  
D)  $\varnothing$

Question 2

A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced- in area is to be twice the width, and the total amount of fencing to be used is 290 feet. Find the length and width of the fenced- in area.

Accepted Answer

A)  length $=24.1$ feet, width $=12$ feet 
B)  length $=58$ feet, width $=29$ feet 
C)  length $=64.4$ feet, width $=32.2$ feet 
D)  length $=31$ feet, width $=29$ feet 
A)  length $=24.1$ feet, width $=12$ feet 
B)  length $=58$ feet, width $=29$ feet 
C)  length $=64.4$ feet, width $=32.2$ feet 
D)  length $=31$ feet, width $=29$ feet

Question 3

$\frac{4}{n}=\frac{8}{4}$

Accepted Answer

A)  $\{8\}$ 
B)  $\{20\}$ 
C)  $\{2\}$ 
D)  $\left\{\frac{1}{8}\right\}$ 
A)  $\{8\}$ 
B)  $\{20\}$ 
C)  $\{2\}$ 
D)  $\left\{\frac{1}{8}\right\}$

Question 4

Dr. Smith can see 9 patients in 3 hours. At this rate, how long would it take him to see 18 patients?

Accepted Answer

A)  54 hours 
B)  27 hours 
C)  5 hours 
D)  6 hours 
A)  54 hours 
B)  27 hours 
C)  5 hours 
D)  6 hours

Question 5

$|\mathrm{x}-2|+9=17$

Accepted Answer

A)  $\{10\}$ 
B)  $\{10,6\}$ 
C)  $\{10,-6\}$ 
D)  $\varnothing$ 
A)  $\{10\}$ 
B)  $\{10,6\}$ 
C)  $\{10,-6\}$ 
D)  $\varnothing$

Question 6

Jay drove 288 kilometers at the average rate of 72 kilometers per hour. How long did the trip take?

Accepted Answer

A)  5 hours 
B)  4 hours 
C)  3 hours 
D)  $\frac{1}{4}$ hour 
A)  5 hours 
B)  4 hours 
C)  3 hours 
D)  $\frac{1}{4}$ hour

Question 7

Write an inequality associated with the given graph
-

Accepted Answer

A) $x \geq 4$ B) $x \leq 4$ C) $x>4$ D) $x<4$ A) $x \geq 4$ B) $x \leq 4$ C) $x>4$ D) $x<4$

Question 8

Write an inequality associated with the given interval notation
-$(-2,8)$

Accepted Answer

A)    
B)  $-2 \leq x \leq 8$ 
C)  $x>-2$ or $x8$ 
A)    
B)  $-2 \leq x \leq 8$ 
C)  $x>-2$ or $x8$

Question 9

The sum of the page numbers on the facing pages of a book is 261. Find the larger page number.

Accepted Answer

A)  141 
B)  131 
C)  126 
D)  129 
A)  141 
B)  131 
C)  126 
D)  129

Question 10

Matthew has two different stocks. One of the stocks is worth $\$ 7$ more per share than the other. He has 13 shares of the more valuable stock and 31 shares of the other stock. His total assets in stocks is $\$ 1235$. How much is the more expensive stock worth per share?

Accepted Answer

A)  $\$ 33$ per share. 
B)  $\$19$ per share 
C)  $\$ 7$ per share 
D)  $\$ 35$ per share 
A)  $\$ 33$ per share. 
B)  $\$19$ per share 
C)  $\$ 7$ per share 
D)  $\$ 35$ per share

Question 11

$5 x+3 y=4$ for $y$

Accepted Answer

A)  $y=\frac{-5 x+4}{3}$ 
B)  $y=\frac{-5 x-4}{3}$ 
C)  $y=-15 x+12$ 
D)  $y=\frac{5 x-4}{3}$ 
A)  $y=\frac{-5 x+4}{3}$ 
B)  $y=\frac{-5 x-4}{3}$ 
C)  $y=-15 x+12$ 
D)  $y=\frac{5 x-4}{3}$

Question 12

$a+b=s+r$ for $s$

Accepted Answer

A)  $s=\frac{a}{r}+b$ 
B)  $s=\frac{a+b}{r}$ 
C)  $s=r(a+b)$ 
D)  $s=a+b-r$ 
A)  $s=\frac{a}{r}+b$ 
B)  $s=\frac{a+b}{r}$ 
C)  $s=r(a+b)$ 
D)  $s=a+b-r$

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 lectures in a school of 900 students?

Accepted Answer

A)  About 180 students 
B)  About 162 students 
C)  About 324students 
D)  About 18 students 
A)  About 180 students 
B)  About 162 students 
C)  About 324students 
D)  About 18 students

Question 14

Write the inequality in interval notation
-x < -2

Accepted Answer

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

Question 15

Graph the solution on a number line, and express it in interval notation.
-$-7 x-6>-8 x+2$

Accepted Answer

A) $ x-4,(-4, \infty) $ C) $ x>8,(8, \infty) $ D) $ x<8,(-\infty, 8) $ A) $ x-4,(-4, \infty) $ C) $ x>8,(8, \infty) $ D) $ x<8,(-\infty, 8) $

Question 16

Classify the absolute value inequality as
· Having a single interval containing its solutions, but not the entire set of real numbers
· Having the union of two disjoint intervals containing its solutions
· Being a contradiction with no solution
· Being an identity with the set of all real numbers as its solution set
-$|x-5|-11 \geq 7$

Accepted Answer

A)  union of two intervals 
B)  identity 
C)  single interval 
D)  contradiction 
A)  union of two intervals 
B)  identity 
C)  single interval 
D)  contradiction

Question 17

$-9 b+5+7 b=-3 b+10$

Accepted Answer

A)  $\{10\}$ 
B)  $\{5\}$ 
C)  $\{5\}$. 
D)  $\varnothing$ 
A)  $\{10\}$ 
B)  $\{5\}$ 
C)  $\{5\}$. 
D)  $\varnothing$

Question 18

Write the word or phrase that best completes each statement or answers thequestion.
-The three- part inequality $\mathrm{a}<\mathrm{x} \leq \mathrm{b}$ means "a is less than $\mathrm{x}$ and $\mathrm{x}$ is less than or equal to $\mathrm{b}$ ". Which of these inequalities has no solution?

Accepted Answer

A)  $-5< x \leq-11$ 
B)  $-8< x \leq-7$ 
C)  $0< x \leq 4$ 
D)  $-2<\mathrm{x} \leq 6$ 
A)  $-5< x \leq-11$ 
B)  $-8< x \leq-7$ 
C)  $0< x \leq 4$ 
D)  $-2<\mathrm{x} \leq 6$

Question 19

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

Accepted Answer

A)  - 128y 
B)  16 - $16 y$ 
C)  8 - 16y 
D)  $16-8 y$ 
A)  - 128y 
B)  16 - $16 y$ 
C)  8 - 16y 
D)  $16-8 y$

Question 20

Simplify, where possible
-7(4m-1) $+6 m+1$

Accepted Answer

A)  $34 \mathrm{~m}-6$ 
B)  $-22 m-6$ 
C)  $10 \mathrm{~m}-6$ 
D)  $34 \mathrm{~m}$ 
A)  $34 \mathrm{~m}-6$ 
B)  $-22 m-6$ 
C)  $10 \mathrm{~m}-6$ 
D)  $34 \mathrm{~m}$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x-4|-9>-18$

A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced- in area is to be twice the width, and the total amount of fencing to be used is 290 feet. Find the length and width of the fenced- in area.

$\frac{4}{n}=\frac{8}{4}$

Dr. Smith can see 9 patients in 3 hours. At this rate, how long would it take him to see 18 patients?

$|\mathrm{x}-2|+9=17$

Jay drove 288 kilometers at the average rate of 72 kilometers per hour. How long did the trip take?

Write an inequality associated with the given graph -

Write an inequality associated with the given interval notation - $(-2,8)$

The sum of the page numbers on the facing pages of a book is 261. Find the larger page number.

Matthew has two different stocks. One of the stocks is worth $\$ 7$ more per share than the other. He has 13 shares of the more valuable stock and 31 shares of the other stock. His total assets in stocks is $\$ 1235$ . How much is the more expensive stock worth per share?

$5 x+3 y=4$ for $y$

$a+b=s+r$ for $s$

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 lectures in a school of 900 students?

Write the inequality in interval notation -x < -2

Graph the solution on a number line, and express it in interval notation. - $-7 x-6>-8 x+2$

$-9 b+5+7 b=-3 b+10$

Write the word or phrase that best completes each statement or answers thequestion. -The three- part inequality $\mathrm{a}<\mathrm{x} \leq \mathrm{b}$ means "a is less than $\mathrm{x}$ and $\mathrm{x}$ is less than or equal to $\mathrm{b}$ ". Which of these inequalities has no solution?

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

Simplify, where possible -7(4m-1) $+6 m+1$

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

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣8x−4∣−9>−18|8 x-4|-9>-18∣8x−4∣−9>−18

A rectangular horse pen is to be fenced and divided into five partitions as shown. The length of the fenced- in area is to be twice the width, and the total amount of fencing to be used is 290 feet. Find the length and width of the fenced- in area.

4n=84\frac{4}{n}=\frac{8}{4}n4​=48​

Dr. Smith can see 9 patients in 3 hours. At this rate, how long would it take him to see 18 patients?

∣x−2∣+9=17|\mathrm{x}-2|+9=17∣x−2∣+9=17

Jay drove 288 kilometers at the average rate of 72 kilometers per hour. How long did the trip take?

Write an inequality associated with the given graph -

Write an inequality associated with the given interval notation - (−2,8)(-2,8)(−2,8)

The sum of the page numbers on the facing pages of a book is 261. Find the larger page number.

Matthew has two different stocks. One of the stocks is worth $7\$ 7$7 more per share than the other. He has 13 shares of the more valuable stock and 31 shares of the other stock. His total assets in stocks is $1235\$ 1235$1235 . How much is the more expensive stock worth per share?

5x+3y=45 x+3 y=45x+3y=4 for yyy

a+b=s+ra+b=s+ra+b=s+r for sss

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 lectures in a school of 900 students?

Write the inequality in interval notation -x < -2

Graph the solution on a number line, and express it in interval notation. - −7x−6>−8x+2-7 x-6>-8 x+2−7x−6>−8x+2

−9b+5+7b=−3b+10-9 b+5+7 b=-3 b+10−9b+5+7b=−3b+10

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

Simplify, where possible -7(4m-1) +6m+1+6 m+1+6m+1

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

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x-4|-9>-18$

$\frac{4}{n}=\frac{8}{4}$

$|\mathrm{x}-2|+9=17$

Write an inequality associated with the given interval notation - $(-2,8)$

Matthew has two different stocks. One of the stocks is worth $\$ 7$ more per share than the other. He has 13 shares of the more valuable stock and 31 shares of the other stock. His total assets in stocks is $\$ 1235$ . How much is the more expensive stock worth per share?

$5 x+3 y=4$ for $y$

$a+b=s+r$ for $s$

Graph the solution on a number line, and express it in interval notation. - $-7 x-6>-8 x+2$

$-9 b+5+7 b=-3 b+10$

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

Simplify, where possible -7(4m-1) $+6 m+1$