Question 1

Build a variable expression for the given phrase
-Three less than 21 times a number

Accepted Answer

A)  $21(\mathrm{x}-3)$ 
B)  3 - 21x 
C)  $21 x-3$ 
D)  $21-3 x$ 
A)  $21(\mathrm{x}-3)$ 
B)  3 - 21x 
C)  $21 x-3$ 
D)  $21-3 x$

Question 2

A lawyer charges $\$ 565$ per day plus expenses to take a case. If we let $d$ represent the number of days that the lawyer works on the case, and if he has $\$ 1550$ in expenses, build a variable expression for the amount of money he would charge for the case.

Accepted Answer

A)  $(565+1550) d$ 
B)  $565 \mathrm{~d}+1550 \mathrm{~d}$ 
C)  $565 \mathrm{~d}+1550$ 
D)  $565+1550 \mathrm{~d}$ 
A)  $(565+1550) d$ 
B)  $565 \mathrm{~d}+1550 \mathrm{~d}$ 
C)  $565 \mathrm{~d}+1550$ 
D)  $565+1550 \mathrm{~d}$

Question 3

Write the word or phrase that best completes each statement or answers thequestion.
-In solving the inequality $7 x \leq-14$, would you have to reverse the inequality symbol? Explain why.

Accepted Answer

A) True 
 B)False

Question 4

$6 x-3+4 x+1=2(5 x-1)$

Accepted Answer

A)  contradiction 
B)  one unique solution 
C)  identity 
A)  contradiction 
B)  one unique solution 
C)  identity

Question 5

$\frac{2}{3}\left(10 x-\frac{1}{6}\right)-\frac{3}{4}=\frac{1}{4}$

Accepted Answer

A)  $\left\{\frac{1}{30}\right\}$ 
B)  $\left\{\frac{7}{40}\right\}$ 
C)  $\left\{\frac{1}{6}\right\}$ 
D)  $\left\{\frac{9}{80}\right\}$ 
A)  $\left\{\frac{1}{30}\right\}$ 
B)  $\left\{\frac{7}{40}\right\}$ 
C)  $\left\{\frac{1}{6}\right\}$ 
D)  $\left\{\frac{9}{80}\right\}$

Question 6

The complement of an angle measures $40^{\circ}$ less than the angle. Find the measure of the angle.

Accepted Answer

A)  $35^{\circ}$ 
B)  $155^{\circ}$ 
C)  $65^{\circ}$ 
D)  $140^{\circ}$ 
A)  $35^{\circ}$ 
B)  $155^{\circ}$ 
C)  $65^{\circ}$ 
D)  $140^{\circ}$

Question 7

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|x+1|+2 \leq 16$

Accepted Answer

A)  $ [-15,13] $
  
B)  $ (-\infty,-15] \cup[13, \infty) $
  
C)  $ [-17,15] $
  
D)  $ [-15,17] $
  
A)  $ [-15,13] $
  
B)  $ (-\infty,-15] \cup[13, \infty) $
  
C)  $ [-17,15] $
  
D)  $ [-15,17] $

Question 8

Simplify, where possible
-$7 \mathrm{x}+10-10 \mathrm{x}-9$

Accepted Answer

A)  $-3 x+1$ 
B)  $3 x+1$ 
C)  $17 x+19$ 
D)  $-3 x+10 y-9$ 
A)  $-3 x+1$ 
B)  $3 x+1$ 
C)  $17 x+19$ 
D)  $-3 x+10 y-9$

Question 9

$2-2|x-2|=-7$

Accepted Answer

A)  $\left\{-\frac{13}{2}, \frac{5}{2}\right\}$ 
B)  $\left\{-\frac{5}{2}, \frac{13}{2}\right\}$ 
C)  $\left\{-\frac{7}{2}, \frac{11}{2}\right\}$ 
D)  $\left\{\frac{13}{2}\right\}$ 
A)  $\left\{-\frac{13}{2}, \frac{5}{2}\right\}$ 
B)  $\left\{-\frac{5}{2}, \frac{13}{2}\right\}$ 
C)  $\left\{-\frac{7}{2}, \frac{11}{2}\right\}$ 
D)  $\left\{\frac{13}{2}\right\}$

Question 10

$|4 \mathrm{x}-1|=|\mathrm{x}+4|$

Accepted Answer

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

Question 11

Graph the solution on a number line, and express it in interval notation.
-$x+\frac{1}{11} \geq \frac{4}{11}$

Accepted Answer

A) $x \geq \frac{3}{11},\left[\frac{3}{11}, \infty\right)$ B) $x>\frac{2}{11},\left(\frac{2}{11}, \infty\right)$ C) $x<\frac{2}{11},\left(\infty, \frac{2}{11}\right)$ D) $\mathrm{x} \leq \frac{3}{11},\left(\infty, \frac{3}{11}\right]$ A) $x \geq \frac{3}{11},\left[\frac{3}{11}, \infty\right)$ B) $x>\frac{2}{11},\left(\frac{2}{11}, \infty\right)$ C) $x<\frac{2}{11},\left(\infty, \frac{2}{11}\right)$ D) $\mathrm{x} \leq \frac{3}{11},\left(\infty, \frac{3}{11}\right]$

Question 12

Rewrite the expression $(10 \cdot \mathrm{m}) \cdot \mathrm{n}$ by applying the associative property. If the associative property does not apply, state this.

Accepted Answer

A)  $(m \cdot 10) \cdot n$ 
B)  $10 \cdot(\mathrm{m} \cdot \mathrm{n})$ 
C)  $\mathrm{n} \cdot(10 \cdot \mathrm{m})$ 
D)  Associative property does not apply 
A)  $(m \cdot 10) \cdot n$ 
B)  $10 \cdot(\mathrm{m} \cdot \mathrm{n})$ 
C)  $\mathrm{n} \cdot(10 \cdot \mathrm{m})$ 
D)  Associative property does not apply

Question 13

$8 \mathrm{x}+7(-2 \mathrm{x}-2)=-16-4 \mathrm{x}$

Accepted Answer

A)  $\{15\}$ 
B)  $\{1\}$ 
C)  $\{1\}$. 
D)  $\{3\}$ 
A)  $\{15\}$ 
B)  $\{1\}$ 
C)  $\{1\}$. 
D)  $\{3\}$

Question 14

Build a variable expression for the given phrase
-The sum of a number and three hundred fifty- eight

Accepted Answer

A)  $\frac{x}{358}$ 
B)  $x+358$ 
C)  $358 x$ 
D)  $358-\mathrm{x}$ 
A)  $\frac{x}{358}$ 
B)  $x+358$ 
C)  $358 x$ 
D)  $358-\mathrm{x}$

Question 15

If a projectile is launched straight upward from the ground with an initial velocity of v0 (in feet/second), then the height
(in feet) of the projectile after t seconds is given by the expression -16t2 + v0t. Find the height of the projectile (in feet)
that was launched with the given initial velocity after t seconds.
-94 feet/second, 3.1 seconds

Accepted Answer

A)  853.74 feet 
B)  241.8 feet 
C)  143.6 feet 
D)  137.64 feet 
A)  853.74 feet 
B)  241.8 feet 
C)  143.6 feet 
D)  137.64 feet

Question 16

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary.
-16 leagues $/ \mathrm{h}$ to fathoms $/ \mathrm{min}$ (1 league $=3 \mathrm{mi}, 1$ fathom $=6 \mathrm{ft}$ )

Accepted Answer

A)  704 fathoms/min 
B)  938 fathoms/min 
C)  2816 fathoms/min 
D)  1408 fathoms/min 
A)  704 fathoms/min 
B)  938 fathoms/min 
C)  2816 fathoms/min 
D)  1408 fathoms/min

Question 17

$x+1+6 x+12=3 x+8-(4 x-13)$

Accepted Answer

A)  identity 
B)  one unique solution 
C)  contradiction 
A)  identity 
B)  one unique solution 
C)  contradiction

Question 18

Simplify, where possible
-$19 x-9 y+10-11 x-6-6 y$

Accepted Answer

A)  $8 x-3 y+4$ 
B)  $8 x-15 y+4$ 
C)  $-8 x-15 y+4$ 
D)  $-8 x-3 y+4$ 
A)  $8 x-3 y+4$ 
B)  $8 x-15 y+4$ 
C)  $-8 x-15 y+4$ 
D)  $-8 x-3 y+4$

Question 19

There are two types of tickets for a school play: child tickets that sell for $\$ 3$ each and adult tickets that sell for $\$ 6$ each. A total of 112 tickets are sold, bringing in a total of $\$ 561$. How many adult tickets are sold?

Accepted Answer

A)  73 
B)  75 
C)  79 
D)  76 
A)  73 
B)  75 
C)  79 
D)  76

Question 20

Write the word or phrase that best completes each statement or answers thequestion.
-If $a\frac{1}{\mathrm{~b}}$ ? Explain.

Accepted Answer

A) True 
 B)False

Build a variable expression for the given phrase -Three less than 21 times a number

A lawyer charges $\$ 565$ per day plus expenses to take a case. If we let $d$ represent the number of days that the lawyer works on the case, and if he has $\$ 1550$ in expenses, build a variable expression for the amount of money he would charge for the case.

Write the word or phrase that best completes each statement or answers thequestion. -In solving the inequality $7 x \leq-14$ , would you have to reverse the inequality symbol? Explain why.

$6 x-3+4 x+1=2(5 x-1)$

$\frac{2}{3}\left(10 x-\frac{1}{6}\right)-\frac{3}{4}=\frac{1}{4}$

The complement of an angle measures $40^{\circ}$ less than the angle. Find the measure of the angle.

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|x+1|+2 \leq 16$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |x+1|+2 \leq 16$

Simplify, where possible - $7 \mathrm{x}+10-10 \mathrm{x}-9$

$2-2|x-2|=-7$

$|4 \mathrm{x}-1|=|\mathrm{x}+4|$

Graph the solution on a number line, and express it in interval notation. - $x+\frac{1}{11} \geq \frac{4}{11}$ $Graph the solution on a number line, and express it in interval notation. - x+\frac{1}{11} \geq \frac{4}{11}$

Rewrite the expression $(10 \cdot \mathrm{m}) \cdot \mathrm{n}$ by applying the associative property. If the associative property does not apply, state this.

$8 \mathrm{x}+7(-2 \mathrm{x}-2)=-16-4 \mathrm{x}$

Build a variable expression for the given phrase -The sum of a number and three hundred fifty- eight

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. -16 leagues $/ \mathrm{h}$ to fathoms $/ \mathrm{min}$ (1 league $=3 \mathrm{mi}, 1$ fathom $=6 \mathrm{ft}$ )

$x+1+6 x+12=3 x+8-(4 x-13)$

Simplify, where possible - $19 x-9 y+10-11 x-6-6 y$

There are two types of tickets for a school play: child tickets that sell for $\$ 3$ each and adult tickets that sell for $\$ 6$ each. A total of 112 tickets are sold, bringing in a total of $\$ 561$ . How many adult tickets are sold?

Write the word or phrase that best completes each statement or answers thequestion. -If $a< b$ , is it always true that $\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{~b}}$ ? Explain.

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

Build a variable expression for the given phrase -Three less than 21 times a number

A lawyer charges $565\$ 565$565 per day plus expenses to take a case. If we let ddd represent the number of days that the lawyer works on the case, and if he has $1550\$ 1550$1550 in expenses, build a variable expression for the amount of money he would charge for the case.

Write the word or phrase that best completes each statement or answers thequestion. -In solving the inequality 7x≤−147 x \leq-147x≤−14 , would you have to reverse the inequality symbol? Explain why.

6x−3+4x+1=2(5x−1)6 x-3+4 x+1=2(5 x-1)6x−3+4x+1=2(5x−1)

23(10x−16)−34=14\frac{2}{3}\left(10 x-\frac{1}{6}\right)-\frac{3}{4}=\frac{1}{4}32​(10x−61​)−43​=41​

The complement of an angle measures 40∘40^{\circ}40∘ less than the angle. Find the measure of the angle.

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣x+1∣+2≤16|x+1|+2 \leq 16∣x+1∣+2≤16

Simplify, where possible - 7x+10−10x−97 \mathrm{x}+10-10 \mathrm{x}-97x+10−10x−9

2−2∣x−2∣=−72-2|x-2|=-72−2∣x−2∣=−7

∣4x−1∣=∣x+4∣|4 \mathrm{x}-1|=|\mathrm{x}+4|∣4x−1∣=∣x+4∣

Graph the solution on a number line, and express it in interval notation. - x+111≥411x+\frac{1}{11} \geq \frac{4}{11}x+111​≥114​

Rewrite the expression (10⋅m)⋅n(10 \cdot \mathrm{m}) \cdot \mathrm{n}(10⋅m)⋅n by applying the associative property. If the associative property does not apply, state this.

8x+7(−2x−2)=−16−4x8 \mathrm{x}+7(-2 \mathrm{x}-2)=-16-4 \mathrm{x}8x+7(−2x−2)=−16−4x

Build a variable expression for the given phrase -The sum of a number and three hundred fifty- eight

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. -16 leagues /h/ \mathrm{h}/h to fathoms /min/ \mathrm{min}/min (1 league =3mi,1=3 \mathrm{mi}, 1=3mi,1 fathom =6ft=6 \mathrm{ft}=6ft )

x+1+6x+12=3x+8−(4x−13)x+1+6 x+12=3 x+8-(4 x-13)x+1+6x+12=3x+8−(4x−13)

Simplify, where possible - 19x−9y+10−11x−6−6y19 x-9 y+10-11 x-6-6 y19x−9y+10−11x−6−6y

There are two types of tickets for a school play: child tickets that sell for $3\$ 3$3 each and adult tickets that sell for $6\$ 6$6 each. A total of 112 tickets are sold, bringing in a total of $561\$ 561$561 . How many adult tickets are sold?

Write the word or phrase that best completes each statement or answers thequestion. -If a<ba< ba<b , is it always true that 1a>1 b\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{~b}}a1​> b1​ ? Explain.

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

A lawyer charges $\$ 565$ per day plus expenses to take a case. If we let $d$ represent the number of days that the lawyer works on the case, and if he has $\$ 1550$ in expenses, build a variable expression for the amount of money he would charge for the case.

Write the word or phrase that best completes each statement or answers thequestion. -In solving the inequality $7 x \leq-14$ , would you have to reverse the inequality symbol? Explain why.

$6 x-3+4 x+1=2(5 x-1)$

$\frac{2}{3}\left(10 x-\frac{1}{6}\right)-\frac{3}{4}=\frac{1}{4}$

The complement of an angle measures $40^{\circ}$ less than the angle. Find the measure of the angle.

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|x+1|+2 \leq 16$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |x+1|+2 \leq 16$

Simplify, where possible - $7 \mathrm{x}+10-10 \mathrm{x}-9$

$2-2|x-2|=-7$

$|4 \mathrm{x}-1|=|\mathrm{x}+4|$

Graph the solution on a number line, and express it in interval notation. - $x+\frac{1}{11} \geq \frac{4}{11}$ $Graph the solution on a number line, and express it in interval notation. - x+\frac{1}{11} \geq \frac{4}{11}$

Rewrite the expression $(10 \cdot \mathrm{m}) \cdot \mathrm{n}$ by applying the associative property. If the associative property does not apply, state this.

$8 \mathrm{x}+7(-2 \mathrm{x}-2)=-16-4 \mathrm{x}$

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. -16 leagues $/ \mathrm{h}$ to fathoms $/ \mathrm{min}$ (1 league $=3 \mathrm{mi}, 1$ fathom $=6 \mathrm{ft}$ )

$x+1+6 x+12=3 x+8-(4 x-13)$

Simplify, where possible - $19 x-9 y+10-11 x-6-6 y$

There are two types of tickets for a school play: child tickets that sell for $\$ 3$ each and adult tickets that sell for $\$ 6$ each. A total of 112 tickets are sold, bringing in a total of $\$ 561$ . How many adult tickets are sold?

Write the word or phrase that best completes each statement or answers thequestion. -If $a< b$ , is it always true that $\frac{1}{\mathrm{a}}>\frac{1}{\mathrm{~b}}$ ? Explain.