Question 1

Write an inequality associated with the given interval notation
-$[20, \infty)$

Accepted Answer

A) $x>20$ B) $x<20$ C) $x \geq 20$ D) $x \leq 20$ A) $x>20$ B) $x<20$ C) $x \geq 20$ D) $x \leq 20$

Question 2

Graph the solution on a number line, and express it in interval notation.
-$12 x+9>3(3 x-3)$ \end{enumerate}

Accepted Answer

A) $x>-6,(-6, \infty)$ B) $x<-6,(\infty,-6)$ C) $x \geq-6,[-6, \infty)$ D) $x \leq-6,(\infty,-6]$ A) $x>-6,(-6, \infty)$ B) $x<-6,(\infty,-6)$ C) $x \geq-6,[-6, \infty)$ D) $x \leq-6,(\infty,-6]$

Question 3

A car rental agency advertised renting a luxury, full- size car for $\$ 39.95$ per day and $\$ 0.49$ per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $\$ 200$ to spend.

Accepted Answer

A)  63 miles 
B)  318 miles 
C)  82 miles 
D)  50 miles 
A)  63 miles 
B)  318 miles 
C)  82 miles 
D)  50 miles

Question 4

Write the given expression using words.
-$5 x+12$

Accepted Answer

A)  Five more than twelve times a number 
B)  Twelve more than five times a number 
C)  Five less than twelve times a number 
D)  Twelve less than five times a number 
A)  Five more than twelve times a number 
B)  Twelve more than five times a number 
C)  Five less than twelve times a number 
D)  Twelve less than five times a number

Question 5

Find the measure of an angle such that the difference between its supplement and 2 times its complement is $36^{\circ}$.

Accepted Answer

A)  $99^{\circ}$ 
B)  $36^{\circ}$ 
C)  $198^{\circ}$ 
D)  $18^{\circ}$ 
A)  $99^{\circ}$ 
B)  $36^{\circ}$ 
C)  $198^{\circ}$ 
D)  $18^{\circ}$

Question 6

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|4 \mathrm{x}+3|<2$

Accepted Answer

A)  $ \left(-\frac{5}{4},-\frac{1}{4}\right) $
  
B)  $ \left(-\infty,-\frac{5}{4}\right) \cup\left(-\frac{1}{4}, \infty\right) $
  
C)  $ \left(-\infty,-\frac{5}{4}\right) $
  
D)  $ (-\infty, 4) $
  
A)  $ \left(-\frac{5}{4},-\frac{1}{4}\right) $
  
B)  $ \left(-\infty,-\frac{5}{4}\right) \cup\left(-\frac{1}{4}, \infty\right) $
  
C)  $ \left(-\infty,-\frac{5}{4}\right) $
  
D)  $ (-\infty, 4) $

Question 7

Evaluate the algebraic expression under the given conditions
-$3(8 x+3 y)$ for $x=3, y=-5$

Accepted Answer

A)  -21 
B)  -93 
C)  99 
D)  27 
A)  -21 
B)  -93 
C)  99 
D)  27

Question 8

A car traveling 68 miles per hour passes a bus traveling 61 in the same direction on the highway. If they maintain their speeds, how long will it take them to be 17.5 miles apart?

Accepted Answer

A)  3.5 hours 
B)  3 hours 
C)  5 hours 
D)  2.5 hours 
A)  3.5 hours 
B)  3 hours 
C)  5 hours 
D)  2.5 hours

Question 9

If $x>4$ then $7 x>28$.

Accepted Answer

A) True 
 B)False

Question 10

$3 \mathrm{x}+2+2 \mathrm{x}=6 \mathrm{x}+3-\mathrm{x}$

Accepted Answer

A)  $\{0\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{1}{5}\right\}$ 
D)  $\varnothing$ 
A)  $\{0\}$ 
B)  $\{5\}$ 
C)  $\left\{\frac{1}{5}\right\}$ 
D)  $\varnothing$

Question 11

Evaluate the algebraic expression under the given conditions
-$\mathrm{a}^{3}+4 \mathrm{a}-18$ for $\mathrm{a}=5$

Accepted Answer

A)  87 
B)  127 
C)  55 
D)  627 
A)  87 
B)  127 
C)  55 
D)  627

Question 12

$|\mathrm{x}-9|=-6$

Accepted Answer

A)  $\{15,3\}$ 
B)  $\{15,-3\}$ 
C)  $\{15\}$ 
D)  $\varnothing$ 
A)  $\{15,3\}$ 
B)  $\{15,-3\}$ 
C)  $\{15\}$ 
D)  $\varnothing$

Question 13

$-2 y+5=1-10 y$

Accepted Answer

A)  $\{2\}$ 
B)  $\left\{-\frac{1}{2}\right\}$ 
C)  $\{-2\}$ 
D)  $\varnothing$ 
A)  $\{2\}$ 
B)  $\left\{-\frac{1}{2}\right\}$ 
C)  $\{-2\}$ 
D)  $\varnothing$

Question 14

Simplify, where possible
-$7(7 a-4)$

Accepted Answer

A)  $49 a-4$ 
B)  $49 a-28$ 
C)  $7 \mathrm{a}-28$ 
D)  - 196a 
A)  $49 a-4$ 
B)  $49 a-28$ 
C)  $7 \mathrm{a}-28$ 
D)  - 196a

Question 15

From a point on a straight road, two cars are driven in opposite directions, one at 22 miles per hour and the other at 62 miles per hour. In how many hours will they be 420 miles apart?

Accepted Answer

A)  4 hours 
B)  6 hours 
C)  5 hours 
D)  Not enough information 
A)  4 hours 
B)  6 hours 
C)  5 hours 
D)  Not enough information

Question 16

Paul notes that if $\mathrm{a}=3$ and $\mathrm{b}=-3$, then $\frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{b}}{\mathrm{a}}=-1$. He concludes that for any real numbers $\mathrm{a}$ and $\mathrm{b}, \frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{b}}{\mathrm{a}}$. Do you agree with his reasoning? If not, why not?

Accepted Answer

@#LAT-DLM& is not equal to @#LAT-DLM& for any a and @#LAT-DLM&. In fac

Question 17

A triangular lake front lot has a perimeter of 900 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

A)  200 feet, 400 feet, 600 feet 
B)  200 feet, 200 feet, 200 feet 
C)  100 feet, 300 feet, 500 feet 
D)  100 feet, 200 feet, 300 feet 
A)  200 feet, 400 feet, 600 feet 
B)  200 feet, 200 feet, 200 feet 
C)  100 feet, 300 feet, 500 feet 
D)  100 feet, 200 feet, 300 feet

Question 18

$2 \mathrm{x}-7=2 \mathrm{x}+1$

Accepted Answer

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

Question 19

Simplify, where possible
-$-9(2 z-6)-1$

Accepted Answer

A)  $-18 z-55$ 
B)  $2 z+53$ 
C)  $-18 z-7$ 
D)  $-18 z+53$ 
A)  $-18 z-55$ 
B)  $2 z+53$ 
C)  $-18 z-7$ 
D)  $-18 z+53$

Question 20

Enthalpy is a measurement of energy in a thermodynamic system. The enthalpy $\mathrm{H}$ of a homogeneous system is related to the internal energy $U$ of the system, the pressure $p$ of the system, and the volume $V$ of the system through the equation $\mathrm{H}=\mathrm{U}+\mathrm{pV}$. Solve the equation for the internal energy in terms of the other variables.

Accepted Answer

A)  $\mathrm{U}=\mathrm{H}-\mathrm{pV}$ 
B)  $V=\frac{H+p}{U}$ 
C)  $U=\frac{H-p}{V}$ 
D)  $\mathrm{V}=\mathrm{H}+\mathrm{pU}$ 
A)  $\mathrm{U}=\mathrm{H}-\mathrm{pV}$ 
B)  $V=\frac{H+p}{U}$ 
C)  $U=\frac{H-p}{V}$ 
D)  $\mathrm{V}=\mathrm{H}+\mathrm{pU}$

Write an inequality associated with the given interval notation - $[20, \infty)$

Graph the solution on a number line, and express it in interval notation. - $12 x+9>3(3 x-3)$ \end{enumerate} $Graph the solution on a number line, and express it in interval notation. - 12 x+9>3(3 x-3) \end{enumerate}$

A car rental agency advertised renting a luxury, full- size car for $\$ 39.95$ per day and $\$ 0.49$ per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $\$ 200$ to spend.

Write the given expression using words. - $5 x+12$

Find the measure of an angle such that the difference between its supplement and 2 times its complement is $36^{\circ}$ .

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|4 \mathrm{x}+3|<2$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |4 \mathrm{x}+3|<2$

Evaluate the algebraic expression under the given conditions - $3(8 x+3 y)$ for $x=3, y=-5$

A car traveling 68 miles per hour passes a bus traveling 61 in the same direction on the highway. If they maintain their speeds, how long will it take them to be 17.5 miles apart?

If $x>4$ then $7 x>28$ .

$3 \mathrm{x}+2+2 \mathrm{x}=6 \mathrm{x}+3-\mathrm{x}$

Evaluate the algebraic expression under the given conditions - $\mathrm{a}^{3}+4 \mathrm{a}-18$ for $\mathrm{a}=5$

$|\mathrm{x}-9|=-6$

$-2 y+5=1-10 y$

Simplify, where possible - $7(7 a-4)$

From a point on a straight road, two cars are driven in opposite directions, one at 22 miles per hour and the other at 62 miles per hour. In how many hours will they be 420 miles apart?

A triangular lake front lot has a perimeter of 900 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

$2 \mathrm{x}-7=2 \mathrm{x}+1$

Simplify, where possible - $-9(2 z-6)-1$

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

Write an inequality associated with the given interval notation - [20,∞)[20, \infty)[20,∞)

Graph the solution on a number line, and express it in interval notation. - 12x+9>3(3x−3)12 x+9>3(3 x-3)12x+9>3(3x−3) \end{enumerate}

A car rental agency advertised renting a luxury, full- size car for $39.95\$ 39.95$39.95 per day and $0.49\$ 0.49$0.49 per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $200\$ 200$200 to spend.

Write the given expression using words. - 5x+125 x+125x+12

Find the measure of an angle such that the difference between its supplement and 2 times its complement is 36∘36^{\circ}36∘ .

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣4x+3∣<2|4 \mathrm{x}+3|<2∣4x+3∣<2

Evaluate the algebraic expression under the given conditions - 3(8x+3y)3(8 x+3 y)3(8x+3y) for x=3,y=−5x=3, y=-5x=3,y=−5

A car traveling 68 miles per hour passes a bus traveling 61 in the same direction on the highway. If they maintain their speeds, how long will it take them to be 17.5 miles apart?

If x>4x>4x>4 then 7x>287 x>287x>28 .

3x+2+2x=6x+3−x3 \mathrm{x}+2+2 \mathrm{x}=6 \mathrm{x}+3-\mathrm{x}3x+2+2x=6x+3−x

Evaluate the algebraic expression under the given conditions - a3+4a−18\mathrm{a}^{3}+4 \mathrm{a}-18a3+4a−18 for a=5\mathrm{a}=5a=5

∣x−9∣=−6|\mathrm{x}-9|=-6∣x−9∣=−6

−2y+5=1−10y-2 y+5=1-10 y−2y+5=1−10y

Simplify, where possible - 7(7a−4)7(7 a-4)7(7a−4)

From a point on a straight road, two cars are driven in opposite directions, one at 22 miles per hour and the other at 62 miles per hour. In how many hours will they be 420 miles apart?

A triangular lake front lot has a perimeter of 900 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

2x−7=2x+12 \mathrm{x}-7=2 \mathrm{x}+12x−7=2x+1

Simplify, where possible - −9(2z−6)−1-9(2 z-6)-1−9(2z−6)−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

Write an inequality associated with the given interval notation - $[20, \infty)$

Graph the solution on a number line, and express it in interval notation. - $12 x+9>3(3 x-3)$ \end{enumerate} $Graph the solution on a number line, and express it in interval notation. - 12 x+9>3(3 x-3) \end{enumerate}$

A car rental agency advertised renting a luxury, full- size car for $\$ 39.95$ per day and $\$ 0.49$ per mile. If you rent this car for 4 days, how many whole miles can you drive if you only have $\$ 200$ to spend.

Write the given expression using words. - $5 x+12$

Find the measure of an angle such that the difference between its supplement and 2 times its complement is $36^{\circ}$ .

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|4 \mathrm{x}+3|<2$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |4 \mathrm{x}+3|<2$

Evaluate the algebraic expression under the given conditions - $3(8 x+3 y)$ for $x=3, y=-5$

If $x>4$ then $7 x>28$ .

$3 \mathrm{x}+2+2 \mathrm{x}=6 \mathrm{x}+3-\mathrm{x}$

Evaluate the algebraic expression under the given conditions - $\mathrm{a}^{3}+4 \mathrm{a}-18$ for $\mathrm{a}=5$

$|\mathrm{x}-9|=-6$

$-2 y+5=1-10 y$

Simplify, where possible - $7(7 a-4)$

$2 \mathrm{x}-7=2 \mathrm{x}+1$

Simplify, where possible - $-9(2 z-6)-1$