Question 1

Determine whether the given solution is correct. If it is not, find the solution.
-0.8x - 0.4(20 + x)= 0.40(20)

Accepted Answer

A) x = 30 
B) x = 20 
C) x = 50 
D) x = 40 
A) x = 30 
B) x = 20 
C) x = 50 
D) x = 40

Question 2

Graph the inequality on the number line.
-$x \leq 5$

Accepted Answer

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

Question 3

Solve for the variable
-$$- 4 ( x + 2 ) - ( - 5 x - 3 ) = 8$$

Accepted Answer

A)  $x = - 13$ 
B)  $x =$ 
C)  $x = - 3$ 
D)  $x = 3$ 
A)  $x = - 13$ 
B)  $x =$ 
C)  $x = - 3$ 
D)  $x = 3$

Question 4

Determine whether the given solution is correct. If it is not, find the solution.
--0.15(40)+ 0.6x = 0.3(40 + x)

Accepted Answer

A) x = 60 
B) x = 30 
C) x = 50 
D) x = 70 
A) x = 60 
B) x = 30 
C) x = 50 
D) x = 70

Question 5

Solve the inequality. Graph the results.
-$$- 5 + 6 x + 7 \geq 5 x + 8$$

Accepted Answer

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

Question 6

Solve.
-The sum of one-half a number, one-third of the number, and one-twelfth of the number is 44. Find the original number.

Accepted Answer

A) 53 
B) 4 
C) 48 
D) 40 
A) 53 
B) 4 
C) 48 
D) 40

Question 7

Solve.
-When fifteen is reduced by one-third of a number, the result is 9. Find the number.

Accepted Answer

A) 6 
B) 21 
C) -18 
D) 18 
A) 6 
B) 21 
C) -18 
D) 18

Question 8

Solve.
-Allan's 4 quiz scores in his math class are 87, 89, 88, and 78. What score does he need to obtain on his exam to average an 85 if an exam counts as much as two quizzes?

Accepted Answer

A) 68 
B) 76 
C) 83 
D) 84 
A) 68 
B) 76 
C) 83 
D) 84

Question 9

Determine whether the given solution is correct. If it is not, find the solution.
-$$\frac { 1 } { 6 } ( x - 12 ) - \frac { 1 } { 2 } ( x - 2 ) = x - 8$$

Accepted Answer

A)  $x = \frac { 33 } { 4 }$ 
B)  $x = \frac { 15 } { 4 }$ 
C) $ \mathrm { x } = \frac { 27 } { 4 }$ 
D)  $x = \frac { 21 } { 4 }$ 
A)  $x = \frac { 33 } { 4 }$ 
B)  $x = \frac { 15 } { 4 }$ 
C) $ \mathrm { x } = \frac { 27 } { 4 }$ 
D)  $x = \frac { 21 } { 4 }$

Question 10

Replace the ? by .
--6 ? -5

Accepted Answer

A)  
A)

Question 11

Solve.
-Last year the yearly tuition at State University went up 20%. This year's charge for tuition for the year is $91,200. What was it last year before the increase went into effect?

Accepted Answer

A) $91,200 
B) $76,000 
C) $15,200 
D) $18,240 
A) $91,200 
B) $76,000 
C) $15,200 
D) $18,240

Question 12

Determine whether the given solution is correct. If it is not, find the solution.
-Is $- 24$ a solution to $x - 5 = \frac { 3 } { 4 } x + 1 ?$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 13

Solve the inequality. Graph the results.
-$$- 2 x + 4 \leq - 3 x + 14$$

Accepted Answer

A)  $x  - 2$
  
A)  $x  - 2$

Question 14

Solve.
-$$18 x + 11 ( x + 1 ) = 29 ( x + 1 ) - 18$$

Accepted Answer

A)  Infinite number of solutions 
B)  No solution 
C)  $x = 1$ 
D)  $x = 0$ 
A)  Infinite number of solutions 
B)  No solution 
C)  $x = 1$ 
D)  $x = 0$

Question 15

Determine whether the given solution is correct. If it is not, find the solution.
-Is 42 a solution to $x - 5 = \frac { 6 } { 7 } x + 1$ ?

Accepted Answer

A)  $\mathrm { Yes }$ 
B)  No 
A)  $\mathrm { Yes }$ 
B)  No

Question 16

Solve for the variable
-$$\frac { 1 } { 4 } ( x + 8 ) + \frac { 1 } { 5 } ( x + 5 ) = x + 9$$

Accepted Answer

A)  $x = - \frac { 120 } { 11 }$ 
B)  $x = - \frac { 160 } { 11 }$ 
C) $ \mathrm { x } = - \frac { 240 } { 11 }$ 
D)  $x = - \frac { 200 } { 11 }$ 
A)  $x = - \frac { 120 } { 11 }$ 
B)  $x = - \frac { 160 } { 11 }$ 
C) $ \mathrm { x } = - \frac { 240 } { 11 }$ 
D)  $x = - \frac { 200 } { 11 }$

Question 17

Determine if the given solution is correct. If it is not, find the solution.
-Is 13 the solution to -4 + x = 10?

Accepted Answer

A) no; x = 14 
B) no; x = -14 
C) yes 
D) no; x = 6 
A) no; x = 14 
B) no; x = -14 
C) yes 
D) no; x = 6

Question 18

Solve.
-The force of gravity on a planet varies with the mass of the planet. If the force of gravity on a planet in a distant solar system is about four and one half times that of Earth, how much would an object weighing 270 pounds on
Earth weigh on this planet?

Accepted Answer

A) 1215 lb 
B) 600 lb 
C) 60 lb 
D) 274.5 lb 
A) 1215 lb 
B) 600 lb 
C) 60 lb 
D) 274.5 lb

Question 19

Solve.
-Larry makes $24 per hour for a 40-hour week and time an a half for every hour over 40 hours. If Larry made $1500 last week, how many overtime hours did he work?

Accepted Answer

A) 62.5 hr 
B) 55 hr 
C) 22.5 hr 
D) 15 hr 
A) 62.5 hr 
B) 55 hr 
C) 22.5 hr 
D) 15 hr

Question 20

Solve the inequality.
-$$- 14 x + 16 \leq - 2 ( 6 x - 9 )$$

Accepted Answer

A) $x > - 1$ B) $x \geq - 1$ C) $x < - 1$ D) $x \leq - 1$ A) $x > - 1$ B) $x \geq - 1$ C) $x < - 1$ D) $x \leq - 1$

Determine whether the given solution is correct. If it is not, find the solution. -0.8x - 0.4(20 + x)= 0.40(20)

Graph the inequality on the number line. - $x \leq 5$ $Graph the inequality on the number line. - x \leq 5$

Solve for the variable - $- 4 ( x + 2 ) - ( - 5 x - 3 ) = 8$

Determine whether the given solution is correct. If it is not, find the solution. --0.15(40)+ 0.6x = 0.3(40 + x)

Solve the inequality. Graph the results. - $- 5 + 6 x + 7 \geq 5 x + 8$ $Solve the inequality. Graph the results. - - 5 + 6 x + 7 \geq 5 x + 8$

Solve. -The sum of one-half a number, one-third of the number, and one-twelfth of the number is 44. Find the original number.

Solve. -When fifteen is reduced by one-third of a number, the result is 9. Find the number.

Solve. -Allan's 4 quiz scores in his math class are 87, 89, 88, and 78. What score does he need to obtain on his exam to average an 85 if an exam counts as much as two quizzes?

Determine whether the given solution is correct. If it is not, find the solution. - $\frac { 1 } { 6 } ( x - 12 ) - \frac { 1 } { 2 } ( x - 2 ) = x - 8$

Replace the ? by < or >. --6 ? -5

Solve. -Last year the yearly tuition at State University went up 20%. This year's charge for tuition for the year is $91,200. What was it last year before the increase went into effect?

Determine whether the given solution is correct. If it is not, find the solution. -Is $- 24$ a solution to $x - 5 = \frac { 3 } { 4 } x + 1 ?$

Solve the inequality. Graph the results. - $- 2 x + 4 \leq - 3 x + 14$ $Solve the inequality. Graph the results. - - 2 x + 4 \leq - 3 x + 14$

Solve. - $18 x + 11 ( x + 1 ) = 29 ( x + 1 ) - 18$

Determine whether the given solution is correct. If it is not, find the solution. -Is 42 a solution to $x - 5 = \frac { 6 } { 7 } x + 1$ ?

Solve for the variable - $\frac { 1 } { 4 } ( x + 8 ) + \frac { 1 } { 5 } ( x + 5 ) = x + 9$

Determine if the given solution is correct. If it is not, find the solution. -Is 13 the solution to -4 + x = 10?

Solve. -The force of gravity on a planet varies with the mass of the planet. If the force of gravity on a planet in a distant solar system is about four and one half times that of Earth, how much would an object weighing 270 pounds on Earth weigh on this planet?

Solve. -Larry makes $24 per hour for a 40-hour week and time an a half for every hour over 40 hours. If Larry made $1500 last week, how many overtime hours did he work?

Solve the inequality. - $- 14 x + 16 \leq - 2 ( 6 x - 9 )$

Real Numbers and Variables

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 2: Equations, Inequalities, and Applications