Question 1

Graph the solution on a number line, and express it in interval notation.
-$-8 x-5>-9 x-8$

Accepted Answer

A)  $x-3,(-3, \infty)$
  
D)  $x \geq-13,[-13, \infty)$
  
A)  $x-3,(-3, \infty)$
  
D)  $x \geq-13,[-13, \infty)$

Question 2

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

Accepted Answer

A) $x>-8$ B) $x \leq-8$ C) $x<-8$ D) $x \geq-8$ A) $x>-8$ B) $x \leq-8$ C) $x<-8$ D) $x \geq-8$

Question 3

Build a variable expression for the given phrase
-The difference between three times a number and eight

Accepted Answer

A)  $3-x+8$ 
B)  $3 x-8$ 
C)  $8-3 x$ 
D)  $3(x-8)$ 
A)  $3-x+8$ 
B)  $3 x-8$ 
C)  $8-3 x$ 
D)  $3(x-8)$

Question 4

$3 y-3+y=22+2 y-3 y$

Accepted Answer

A)  $\left\{\frac{19}{4}\right\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{19}{3}\right\}$ 
D)  $\left\{\frac{19}{5}\right\}$ 
A)  $\left\{\frac{19}{4}\right\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{19}{3}\right\}$ 
D)  $\left\{\frac{19}{5}\right\}$

Question 5

Write the word or phrase that best completes each statement or answers thequestion.
-If $bb$ ? Explain.

Accepted Answer

A) True 
 B)False

Question 6

Graph the solution on a number line, and express it in interval notation.
-$\mathrm{x}+10<5$

Accepted Answer

A) $\mathrm{x} \geq-5,[-5, \infty)$ B) $\mathrm{x} \leq-5,(\infty,-5]$ C) $x>-5,(-5, \infty)$ D) $x<-5,(\infty,-5)$ A) $\mathrm{x} \geq-5,[-5, \infty)$ B) $\mathrm{x} \leq-5,(\infty,-5]$ C) $x>-5,(-5, \infty)$ D) $x<-5,(\infty,-5)$

Question 7

Simplify, where possible
-$8(x+6)$

Accepted Answer

A)  $8 x+6$ 
B)  $48 x$ 
C)  $x+48$ 
D)  $8 x+48$ 
A)  $8 x+6$ 
B)  $48 x$ 
C)  $x+48$ 
D)  $8 x+48$

Question 8

Write the inequality in interval notation
-x $\ge$ 6

Accepted Answer

A)  [6, $\infty$) 
B)  (-$\infty$, 6] 
C)  (6, $\infty$) 
D)  (-$\infty$, 6) 
A)  [6, $\infty$) 
B)  (-$\infty$, 6] 
C)  (6, $\infty$) 
D)  (-$\infty$, 6)

Question 9

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary
-$80 \mathrm{~km}$ to $\mathrm{mi}$

Accepted Answer

A)  $129 \mathrm{mi}$ or $128.8 \mathrm{mi}$ 
B)  $49.6 \mathrm{mi}$ or $49.7 \mathrm{mi}$ 
C)  $262.4 \mathrm{mi}$ 
D)  $24.4 \mathrm{mi}$ 
A)  $129 \mathrm{mi}$ or $128.8 \mathrm{mi}$ 
B)  $49.6 \mathrm{mi}$ or $49.7 \mathrm{mi}$ 
C)  $262.4 \mathrm{mi}$ 
D)  $24.4 \mathrm{mi}$

Question 10

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

Accepted Answer

A)  $\{11\}$ 
B)  $\{11,-5\}$ 
C)  $\{-11,5\}$ 
D)  $\varnothing$ 
A)  $\{11\}$ 
B)  $\{11,-5\}$ 
C)  $\{-11,5\}$ 
D)  $\varnothing$

Question 11

$A=\frac{1}{2} b h$ for $h$

Accepted Answer

A)  $h=\frac{A}{2 b}$ 
B)  $h=\frac{b}{2 A}$ 
C)  $h=\frac{2 A}{b}$ 
D)  $h=\frac{A b}{2}$ 
A)  $h=\frac{A}{2 b}$ 
B)  $h=\frac{b}{2 A}$ 
C)  $h=\frac{2 A}{b}$ 
D)  $h=\frac{A b}{2}$

Question 12

$(y-11)-(y+10)=8 y$

Accepted Answer

A)  $\left\{-\frac{1}{6}\right\}$ 
B)  $\left\{-\frac{7}{2}\right\}$ 
C)  $\left\{-\frac{1}{8}\right\}$ 
D)  $\left\{-\frac{21}{8}\right\}$ 
A)  $\left\{-\frac{1}{6}\right\}$ 
B)  $\left\{-\frac{7}{2}\right\}$ 
C)  $\left\{-\frac{1}{8}\right\}$ 
D)  $\left\{-\frac{21}{8}\right\}$

Question 13

For the expression,

Accepted Answer

A)  determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$9 a^{2}-9 a+5$ 
A)  a) 3
b) $9 a^{2}, 9 a, 5$
c) $9,9,5$ 
B)  a) 2
b) $9 a^{2},-9 a$
c) $9,-9$ 
C)  a) 3
b) $9 a^{2},-9 a, 5$
c) $9,-9,5$ 
D)  a) 3
b) $9 a^{2},-9 a,-5$
c) $9,-9,-5$ 
A)  determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$9 a^{2}-9 a+5$ 
A)  a) 3
b) $9 a^{2}, 9 a, 5$
c) $9,9,5$ 
B)  a) 2
b) $9 a^{2},-9 a$
c) $9,-9$ 
C)  a) 3
b) $9 a^{2},-9 a, 5$
c) $9,-9,5$ 
D)  a) 3
b) $9 a^{2},-9 a,-5$
c) $9,-9,-5$

Question 14

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|8 x-4|-3<-10$

Accepted Answer

A)  $\left(-\frac{3}{8}, \infty\right)$
  
B)  $\left(-\infty,-\frac{3}{8}\right) \cup\left(\frac{11}{8}, \infty\right)$
  
C)  $\left(-\frac{3}{8}, \frac{11}{8}\right)$
  
D)  $\varnothing$
  
A)  $\left(-\frac{3}{8}, \infty\right)$
  
B)  $\left(-\infty,-\frac{3}{8}\right) \cup\left(\frac{11}{8}, \infty\right)$
  
C)  $\left(-\frac{3}{8}, \frac{11}{8}\right)$
  
D)  $\varnothing$

Question 15

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
-$|6 x+7|-2>-13$

Accepted Answer

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

Question 16

If three times the smaller of two consecutive integers is added to four times the larger, the result is 81. Find the smaller integer.

Accepted Answer

A)  10 
B)  12 
C)  33 
D)  11 
A)  10 
B)  12 
C)  33 
D)  11

Question 17

Write the given expression using words.
-$9 \mathrm{x}$

Accepted Answer

A)  Nine less than a number 
B)  Nine more than a number 
C)  Nine times a number 
D)  Nine divided by a number 
A)  Nine less than a number 
B)  Nine more than a number 
C)  Nine times a number 
D)  Nine divided by a number

Question 18

Write an inequality associated with the given graph
-

Accepted Answer

A)  $x \geq-1$ 
B)  $x-1$ 
A)  $x \geq-1$ 
B)  $x-1$

Question 19

The perimeter of a rectangular room is 140 feet. Find the length and width of the room if the length is 4 feet longer than twice the width.

Accepted Answer

A)  width $=33$ feet; length $=37$ feet 
B)  width $=22$ feet; length $=48$ feet 
C)  width $=27$ feet; length $=58$ feet 
D)  width $=44$ feet; length $=96$ feet 
A)  width $=33$ feet; length $=37$ feet 
B)  width $=22$ feet; length $=48$ feet 
C)  width $=27$ feet; length $=58$ feet 
D)  width $=44$ feet; length $=96$ feet

Question 20

Write an inequality associated with the given interval notation
-$(-\infty,-16]$

Accepted Answer

A)  $x \geq-16$ 
B)  $x-16$ 
A)  $x \geq-16$ 
B)  $x-16$

Graph the solution on a number line, and express it in interval notation. - $-8 x-5>-9 x-8$

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

Build a variable expression for the given phrase -The difference between three times a number and eight

$3 y-3+y=22+2 y-3 y$

Write the word or phrase that best completes each statement or answers thequestion. -If $b<0$ , is it true that $b^{2}>b$ ? Explain.

Graph the solution on a number line, and express it in interval notation. - $\mathrm{x}+10<5$ $Graph the solution on a number line, and express it in interval notation. - \mathrm{x}+10<5$

Simplify, where possible - $8(x+6)$

Write the inequality in interval notation -x $\ge$ 6

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $80 \mathrm{~km}$ to $\mathrm{mi}$

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

$A=\frac{1}{2} b h$ for $h$

$(y-11)-(y+10)=8 y$

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $9 a^{2}-9 a+5$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x-4|-3<-10$

If three times the smaller of two consecutive integers is added to four times the larger, the result is 81. Find the smaller integer.

Write the given expression using words. - $9 \mathrm{x}$

Write an inequality associated with the given graph -

The perimeter of a rectangular room is 140 feet. Find the length and width of the room if the length is 4 feet longer than twice the width.

Write an inequality associated with the given interval notation - $(-\infty,-16]$

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

Graph the solution on a number line, and express it in interval notation. - −8x−5>−9x−8-8 x-5>-9 x-8−8x−5>−9x−8

Write an inequality associated with the given interval notation - (−8,∞)(-8, \infty)(−8,∞)

Build a variable expression for the given phrase -The difference between three times a number and eight

3y−3+y=22+2y−3y3 y-3+y=22+2 y-3 y3y−3+y=22+2y−3y

Write the word or phrase that best completes each statement or answers thequestion. -If b<0b<0b<0 , is it true that b2>bb^{2}>bb2>b ? Explain.

Graph the solution on a number line, and express it in interval notation. - x+10<5\mathrm{x}+10<5x+10<5

Simplify, where possible - 8(x+6)8(x+6)8(x+6)

Write the inequality in interval notation -x ≥\ge≥ 6

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - 80 km80 \mathrm{~km}80 km to mi\mathrm{mi}mi

∣x−3∣=8|\mathrm{x}-3|=8∣x−3∣=8

A=12bhA=\frac{1}{2} b hA=21​bh for hhh

(y−11)−(y+10)=8y(y-11)-(y+10)=8 y(y−11)−(y+10)=8y

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - 9a2−9a+59 a^{2}-9 a+59a2−9a+5

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣8x−4∣−3<−10|8 x-4|-3<-10∣8x−4∣−3<−10

If three times the smaller of two consecutive integers is added to four times the larger, the result is 81. Find the smaller integer.

Write the given expression using words. - 9x9 \mathrm{x}9x

Write an inequality associated with the given graph -

The perimeter of a rectangular room is 140 feet. Find the length and width of the room if the length is 4 feet longer than twice the width.

Write an inequality associated with the given interval notation - (−∞,−16](-\infty,-16](−∞,−16]

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

Graph the solution on a number line, and express it in interval notation. - $-8 x-5>-9 x-8$

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

$3 y-3+y=22+2 y-3 y$

Write the word or phrase that best completes each statement or answers thequestion. -If $b<0$ , is it true that $b^{2}>b$ ? Explain.

Graph the solution on a number line, and express it in interval notation. - $\mathrm{x}+10<5$ $Graph the solution on a number line, and express it in interval notation. - \mathrm{x}+10<5$

Simplify, where possible - $8(x+6)$

Write the inequality in interval notation -x $\ge$ 6

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $80 \mathrm{~km}$ to $\mathrm{mi}$

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

$A=\frac{1}{2} b h$ for $h$

$(y-11)-(y+10)=8 y$

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $9 a^{2}-9 a+5$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x-4|-3<-10$

Write the given expression using words. - $9 \mathrm{x}$

Write an inequality associated with the given interval notation - $(-\infty,-16]$