Question 1

Evaluate the algebraic expression under the given conditions
-$x^{5}-20 x^{4}-252 x^{3}-727$ for $x=0$

Accepted Answer

A)  -727 
B)  -998 
C)  0 
D)  -999 
A)  -727 
B)  -998 
C)  0 
D)  -999

Question 2

On her way to a holiday weekend, Nancy drove $2 \frac{1}{2}$ hours in rush- hour traffic. When traffic eased up, she was able to increase her speed by 42 miles per hour and drove another $4 \frac{1}{2}$ hours. If the entire trip was 371 miles, how fast did she drive in rush- hour traffic?

Accepted Answer

A)  $26 \mathrm{mph}$ 
B)  $28 \mathrm{mph}$ 
C)  $27 \frac{1}{2} \mathrm{mph}$ 
D)  $27 \mathrm{mph}$ 
A)  $26 \mathrm{mph}$ 
B)  $28 \mathrm{mph}$ 
C)  $27 \frac{1}{2} \mathrm{mph}$ 
D)  $27 \mathrm{mph}$

Question 3

Write an inequality associated with the given graph
-

Accepted Answer

A)  $x-3$ 
D)  $x \geq-3$ 
A)  $x-3$ 
D)  $x \geq-3$

Question 4

Graph the inequality
-$\mathrm{x} \geq 3$

Accepted Answer

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

Question 5

Graph the solution on a number line, and express it in interval notation.
-$x+18 \leq-\frac{1}{3} \quad$ or $\quad x+18>\frac{1}{3}$

Accepted Answer

A)  $ x \leq \frac{53}{3} $ or $ x>\frac{55}{3},\left(-\infty, \frac{53}{3}\right] \cup\left(\frac{55}{3}, \infty\right) $
  
B)  $ x-17,(-\infty,-19) \cup(-17, \infty) $
  
C)  $ -\frac{55}{3} \leq x-\frac{53}{3},\left(-\infty,-\frac{55}{3}\right] \cup\left(-\frac{53}{3}, \infty\right) $
  
A)  $ x \leq \frac{53}{3} $ or $ x>\frac{55}{3},\left(-\infty, \frac{53}{3}\right] \cup\left(\frac{55}{3}, \infty\right) $
  
B)  $ x-17,(-\infty,-19) \cup(-17, \infty) $
  
C)  $ -\frac{55}{3} \leq x-\frac{53}{3},\left(-\infty,-\frac{55}{3}\right] \cup\left(-\frac{53}{3}, \infty\right) $

Question 6

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.
-$6(-3 y+z)-(z-9 y)$ 
A)  a) 2
b) $-12 y, 5 z$
c) $-12,5$ 
B)  a) 2
b) $-27 y, 5 z$
c) $-27,5$ 
C)  a) 2
b) $-9 y, 6 z$
c) $-9,6$ 
D)  a) 2
b) $-9 y, 5 z$
c) $-9,5$ 
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.
-$6(-3 y+z)-(z-9 y)$ 
A)  a) 2
b) $-12 y, 5 z$
c) $-12,5$ 
B)  a) 2
b) $-27 y, 5 z$
c) $-27,5$ 
C)  a) 2
b) $-9 y, 6 z$
c) $-9,6$ 
D)  a) 2
b) $-9 y, 5 z$
c) $-9,5$

Question 7

Andy has some $\$ 10$ bills and some $\$ 20$ bills in a shoebox under his bed. He has a total of 42 bills worth a total of $\$ 550$. How many $\$ 20$ bills does he have?

Accepted Answer

A)  12 
B)  15 
C)  10 
D)  13 
A)  12 
B)  15 
C)  10 
D)  13

Question 8

Evaluate the algebraic expression under the given conditions
-$-5 x+2$ for $x=7$

Accepted Answer

A)  -37 
B)  -3 
C)  -70 
D)  - 33 
A)  -37 
B)  -3 
C)  -70 
D)  - 33

Question 9

$|\mathrm{x}|+9=15$

Accepted Answer

A)  $\{6\}$ 
B)  $\{6,-6\}$ 
C)  $\{24,-24\}$ 
D)  $\{-6\}$ 
A)  $\{6\}$ 
B)  $\{6,-6\}$ 
C)  $\{24,-24\}$ 
D)  $\{-6\}$

Question 10

$\frac{7 n}{4}=\frac{5 n+2}{7}$

Accepted Answer

A)  $\{29\}$ 
B)  $\left\{\frac{8}{69}\right\}$ 
C)  $\{8\}$ 
D)  $\left\{\frac{8}{29}\right\}$ 
A)  $\{29\}$ 
B)  $\left\{\frac{8}{69}\right\}$ 
C)  $\{8\}$ 
D)  $\left\{\frac{8}{29}\right\}$

Question 11

$7 \mathrm{~m}-10=3+9 \mathrm{~m}$

Accepted Answer

A)  $\left\{-\frac{13}{2}\right\}$ 
B)  $\left\{-\frac{16}{7}\right\}$ 
C)  $\left\{-\frac{2}{13}\right\}$ 
D)  $\left\{\frac{2}{13}\right\}$ 
A)  $\left\{-\frac{13}{2}\right\}$ 
B)  $\left\{-\frac{16}{7}\right\}$ 
C)  $\left\{-\frac{2}{13}\right\}$ 
D)  $\left\{\frac{2}{13}\right\}$

Question 12

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|2 \mathrm{x}-8| \geq 7$

Accepted Answer

A)  $ \left[\frac{1}{2}, \frac{15}{2}\right] $
  
B)  $ \left[\frac{15}{2}, \infty\right) $
  
C)  $ \left[-\infty, \frac{1}{2}\right] \cup\left[\frac{15}{2}, \infty\right) $
  
D)  $ \left(-\infty,-\frac{15}{2}\right] \cup\left[-\frac{1}{2}, \infty\right) $ 
  
A)  $ \left[\frac{1}{2}, \frac{15}{2}\right] $
  
B)  $ \left[\frac{15}{2}, \infty\right) $
  
C)  $ \left[-\infty, \frac{1}{2}\right] \cup\left[\frac{15}{2}, \infty\right) $
  
D)  $ \left(-\infty,-\frac{15}{2}\right] \cup\left[-\frac{1}{2}, \infty\right) $

Question 13

Write the inequality in interval notation
-$-8 \leq x \leq 8$

Accepted Answer

A)  $[-8,8]$ 
B)  $(-\infty, 8)$ 
C)  $(-8,8]$ 
D)  $(-8,8)$ 
A)  $[-8,8]$ 
B)  $(-\infty, 8)$ 
C)  $(-8,8]$ 
D)  $(-8,8)$

Question 14

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
-$|3 x+4|+11 \leq 5$

Accepted Answer

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

Question 15

Graph the solution on a number line, and express it in interval notation.
-$4 x+2 \geq 3 x+11$

Accepted Answer

A) $ x \leq 9,(-\infty, 9] $ B) $ x>4,(4, \infty) $ C) $ x<4,(-\infty, 4) $ D) $ x \geq 9,[9, \infty) $ A) $ x \leq 9,(-\infty, 9] $ B) $ x>4,(4, \infty) $ C) $ x<4,(-\infty, 4) $ D) $ x \geq 9,[9, \infty) $

Question 16

Simplify, where possible
-$-3(5 m-2)$

Accepted Answer

A)  $-15 m+6$ 
B)  $-15 m-6$ 
C)  $6 \mathrm{~m}-15$ 
D)  $-15 m-2$ 
A)  $-15 m+6$ 
B)  $-15 m-6$ 
C)  $6 \mathrm{~m}-15$ 
D)  $-15 m-2$

Question 17

$3 y+9=1-2 y$

Accepted Answer

A)  $\left\{\frac{1}{10}\right\}$ 
B)  $\left\{-\frac{5}{8}\right\}$ 
C)  $\left\{\frac{5}{8}\right\}$ 
D)  $\left\{-\frac{8}{5}\right\}$ 
A)  $\left\{\frac{1}{10}\right\}$ 
B)  $\left\{-\frac{5}{8}\right\}$ 
C)  $\left\{\frac{5}{8}\right\}$ 
D)  $\left\{-\frac{8}{5}\right\}$

Question 18

$\frac{n+9}{4}=\frac{n+3}{3}$

Accepted Answer

A)  $\{9\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{15}{7}\right\}$ 
D)  $\{15\}$ 
A)  $\{9\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{15}{7}\right\}$ 
D)  $\{15\}$

Question 19

$9 x-(5 x-1)=2$

Accepted Answer

A)  $\left\{-\frac{1}{14}\right\}$ 
B)  $\left\{-\frac{1}{4}\right\}$ 
C)  $\left\{\frac{1}{4}\right\}$ 
D)  $\left\{\frac{1}{14}\right\}$ 
A)  $\left\{-\frac{1}{14}\right\}$ 
B)  $\left\{-\frac{1}{4}\right\}$ 
C)  $\left\{\frac{1}{4}\right\}$ 
D)  $\left\{\frac{1}{14}\right\}$

Question 20

If 4 hours are required to type 12 pages, how many hours would be required to type 21 pages?

Accepted Answer

A)  2 hours 
B)  8 hours 
C)  3 hours 
D)  7 hours 
A)  2 hours 
B)  8 hours 
C)  3 hours 
D)  7 hours

Evaluate the algebraic expression under the given conditions - $x^{5}-20 x^{4}-252 x^{3}-727$ for $x=0$

On her way to a holiday weekend, Nancy drove $2 \frac{1}{2}$ hours in rush- hour traffic. When traffic eased up, she was able to increase her speed by 42 miles per hour and drove another $4 \frac{1}{2}$ hours. If the entire trip was 371 miles, how fast did she drive in rush- hour traffic?

Write an inequality associated with the given graph -

Graph the inequality - $\mathrm{x} \geq 3$

Graph the solution on a number line, and express it in interval notation. - $x+18 \leq-\frac{1}{3} \quad$ or $\quad x+18>\frac{1}{3}$ $Graph the solution on a number line, and express it in interval notation. - x+18 \leq-\frac{1}{3} \quad or \quad x+18>\frac{1}{3}$

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. - $6(-3 y+z)-(z-9 y)$

Andy has some $\$ 10$ bills and some $\$ 20$ bills in a shoebox under his bed. He has a total of 42 bills worth a total of $\$ 550$ . How many $\$ 20$ bills does he have?

Evaluate the algebraic expression under the given conditions - $-5 x+2$ for $x=7$

$|\mathrm{x}|+9=15$

$\frac{7 n}{4}=\frac{5 n+2}{7}$

$7 \mathrm{~m}-10=3+9 \mathrm{~m}$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|2 \mathrm{x}-8| \geq 7$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |2 \mathrm{x}-8| \geq 7$

Write the inequality in interval notation - $-8 \leq x \leq 8$

Graph the solution on a number line, and express it in interval notation. - $4 x+2 \geq 3 x+11$ $Graph the solution on a number line, and express it in interval notation. - 4 x+2 \geq 3 x+11$

Simplify, where possible - $-3(5 m-2)$

$3 y+9=1-2 y$

$\frac{n+9}{4}=\frac{n+3}{3}$

$9 x-(5 x-1)=2$

If 4 hours are required to type 12 pages, how many hours would be required to type 21 pages?

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

Evaluate the algebraic expression under the given conditions - x5−20x4−252x3−727x^{5}-20 x^{4}-252 x^{3}-727x5−20x4−252x3−727 for x=0x=0x=0

Write an inequality associated with the given graph -

Graph the inequality - x≥3\mathrm{x} \geq 3x≥3

Graph the solution on a number line, and express it in interval notation. - x+18≤−13x+18 \leq-\frac{1}{3} \quadx+18≤−31​ or x+18>13\quad x+18>\frac{1}{3}x+18>31​

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. - 6(−3y+z)−(z−9y)6(-3 y+z)-(z-9 y)6(−3y+z)−(z−9y)

Andy has some $10\$ 10$10 bills and some $20\$ 20$20 bills in a shoebox under his bed. He has a total of 42 bills worth a total of $550\$ 550$550 . How many $20\$ 20$20 bills does he have?

Evaluate the algebraic expression under the given conditions - −5x+2-5 x+2−5x+2 for x=7x=7x=7

∣x∣+9=15|\mathrm{x}|+9=15∣x∣+9=15

7n4=5n+27\frac{7 n}{4}=\frac{5 n+2}{7}47n​=75n+2​

7 m−10=3+9 m7 \mathrm{~m}-10=3+9 \mathrm{~m}7 m−10=3+9 m

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣2x−8∣≥7|2 \mathrm{x}-8| \geq 7∣2x−8∣≥7

Write the inequality in interval notation - −8≤x≤8-8 \leq x \leq 8−8≤x≤8

Graph the solution on a number line, and express it in interval notation. - 4x+2≥3x+114 x+2 \geq 3 x+114x+2≥3x+11

Simplify, where possible - −3(5m−2)-3(5 m-2)−3(5m−2)

3y+9=1−2y3 y+9=1-2 y3y+9=1−2y

n+94=n+33\frac{n+9}{4}=\frac{n+3}{3}4n+9​=3n+3​

9x−(5x−1)=29 x-(5 x-1)=29x−(5x−1)=2

If 4 hours are required to type 12 pages, how many hours would be required to type 21 pages?

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

Evaluate the algebraic expression under the given conditions - $x^{5}-20 x^{4}-252 x^{3}-727$ for $x=0$

Graph the inequality - $\mathrm{x} \geq 3$

Graph the solution on a number line, and express it in interval notation. - $x+18 \leq-\frac{1}{3} \quad$ or $\quad x+18>\frac{1}{3}$ $Graph the solution on a number line, and express it in interval notation. - x+18 \leq-\frac{1}{3} \quad or \quad x+18>\frac{1}{3}$

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. - $6(-3 y+z)-(z-9 y)$

Andy has some $\$ 10$ bills and some $\$ 20$ bills in a shoebox under his bed. He has a total of 42 bills worth a total of $\$ 550$ . How many $\$ 20$ bills does he have?

Evaluate the algebraic expression under the given conditions - $-5 x+2$ for $x=7$

$|\mathrm{x}|+9=15$

$\frac{7 n}{4}=\frac{5 n+2}{7}$

$7 \mathrm{~m}-10=3+9 \mathrm{~m}$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|2 \mathrm{x}-8| \geq 7$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |2 \mathrm{x}-8| \geq 7$

Write the inequality in interval notation - $-8 \leq x \leq 8$

Graph the solution on a number line, and express it in interval notation. - $4 x+2 \geq 3 x+11$ $Graph the solution on a number line, and express it in interval notation. - 4 x+2 \geq 3 x+11$

Simplify, where possible - $-3(5 m-2)$

$3 y+9=1-2 y$

$\frac{n+9}{4}=\frac{n+3}{3}$

$9 x-(5 x-1)=2$