Question 1

Solve the equation: $$\frac { 8 } { 3 } ( 3 x + 4 ) + 96 = \frac { 32 } { 3 }$$

Accepted Answer

The answer of Solve the equation: \[\frac { 8 }...

Question 2

Solve the inequality. Graph the solution set and write the solution set in interval notation. $$6.8 k - 5.9 \geq 4.3$$

Accepted Answer

A) 
 
$( \infty , 1.5 ]$ 
B) 
 
$( \infty , 1.5 ]$ 
C) 
 
$[ 1.5 , \infty )$ 
D) 
 
$[ 1.5 , \infty )$ 
A) 
 
$( \infty , 1.5 ]$ 
B) 
 
$( \infty , 1.5 ]$ 
C) 
 
$[ 1.5 , \infty )$ 
D) 
 
$[ 1.5 , \infty )$

Question 3

Sparky has scores of 70, 67, and 73 on his first three Sociology tests. If he needs to keep an average of 70 to stay eligible for lacrosse, what scores on the fourth exam will accomplish this?

Accepted Answer

He must sc

Question 4

Identify the inequality that matches the graph below.

Accepted Answer

A)  $| x + 1 | > 3$ 
B)  $| x - 1 | > 3$ 
C)  $| x + 1 | > 6$ 
D)  $| x - 1 | > 6$ 
A)  $| x + 1 | > 3$ 
B)  $| x - 1 | > 3$ 
C)  $| x + 1 | > 6$ 
D)  $| x - 1 | > 6$

Question 5

Solve the inequality. Write the solution set in interval notation.
$$y - 11 > 4$$

Accepted Answer

A)  $( - 11,4 )$ 
B)  $( 15 , \infty )$ 
C)  $( - 7 , \infty )$ 
D)  $[ 15 , \infty )$ 
A)  $( - 11,4 )$ 
B)  $( 15 , \infty )$ 
C)  $( - 7 , \infty )$ 
D)  $[ 15 , \infty )$

Question 6

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $| n | \leq 4$

Accepted Answer

A) 
 
$( - \infty , - 4 ] \cup [ 4 , \infty )$ 
B) 
 
{  } 
C) 
 
$[ - 4,4 ]$ 
D) 
 
$( - \infty , 4 ] \cup [ - 4 , \infty )$ 
A) 
 
$( - \infty , - 4 ] \cup [ 4 , \infty )$ 
B) 
 
{  } 
C) 
 
$[ - 4,4 ]$ 
D) 
 
$( - \infty , 4 ] \cup [ - 4 , \infty )$

Question 7

Solve the absolute value equation. $$| y | = 19$$

Accepted Answer

The answer of Solve the absolute value equation. \[| y...

Question 8

Express the equation in the form y = mx + b by solving for y. $$- 2 x - 7 y = - 6$$

Accepted Answer

A)  $y = - \frac { 2 } { 7 } x + \frac { 6 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x - 6$ 
C)  $y = - \frac { 2 } { 7 } x - \frac { 6 } { 7 }$ 
D)  $y = \frac { 2 } { 7 } x - \frac { 6 } { 7 }$ 
A)  $y = - \frac { 2 } { 7 } x + \frac { 6 } { 7 }$ 
B)  $y = - \frac { 2 } { 7 } x - 6$ 
C)  $y = - \frac { 2 } { 7 } x - \frac { 6 } { 7 }$ 
D)  $y = \frac { 2 } { 7 } x - \frac { 6 } { 7 }$

Question 9

Solve for $r$.
$$T = r b - r n$$

Accepted Answer

A)  $r = T ( b + n )$ 
B)  $r = \frac { T } { b + n }$ 
C)  $r = \frac { T } { b - n }$ 
D)  $r = T ( b - n )$ 
A)  $r = T ( b + n )$ 
B)  $r = \frac { T } { b + n }$ 
C)  $r = \frac { T } { b - n }$ 
D)  $r = T ( b - n )$

Question 10

Solve the inequality and graph the solution set. Write your answer in interval notation. $$\frac { 3 } { 5 } u + 1 > 0 \text { or } - 4 u \geq - 12$$

Accepted Answer

A)  $\left( - \frac { 5 } { 3 } , \infty \right)$
  
B)  $( - \infty , \infty )$
  
C)  $( - \infty , 3 ]$
  
D)  $[ 3 , \infty )$
  
A)  $\left( - \frac { 5 } { 3 } , \infty \right)$
  
B)  $( - \infty , \infty )$
  
C)  $( - \infty , 3 ]$
  
D)  $[ 3 , \infty )$

Question 11

Solve the equation: $$\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }$$

Accepted Answer

A)  x = -4 
B)  x = 4 
C)  x = 0 
D)  No solution 
A)  x = -4 
B)  x = 4 
C)  x = 0 
D)  No solution

Question 12

Solve the absolute value inequality. Write the solution in interval notation. $| - 4 z + 32 | \leq 32$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $( - \infty , - 8 ]$ 
C)  { } 
D)  $[ 0,16 ]$ 
A)  $( - \infty , \infty )$ 
B)  $( - \infty , - 8 ]$ 
C)  { } 
D)  $[ 0,16 ]$

Question 13

Solve the inequality and graph the solution set. Write your answer in interval notation. $$4 ( n - 3 ) > 2 n \text { or } 5 - 3 n \geq 8$$

Accepted Answer

The answer of Solve the inequality and graph the solution...

Question 14

Solve the absolute value equation. $$| 8 n | = 0$$

Accepted Answer

The answer of Solve the absolute value equation. \[| 8...

Question 15

Solve the inequality. Graph the solution set and write the solution set in interval notation. $20 + t \leq 7$

Accepted Answer

A) 
 
$[ 20,7 ]$ 
B) 
 
$( - \infty , - 13 )$ 
C) 
 
$[ - 13 , \infty )$ 
D) 
 
$( - \infty , - 13 ]$ 
A) 
 
$[ 20,7 ]$ 
B) 
 
$( - \infty , - 13 )$ 
C) 
 
$[ - 13 , \infty )$ 
D) 
 
$( - \infty , - 13 ]$

Question 16

Solve the inequality and graph the solution. Write the answer in interval notation. $$35 < 9 x - 1 < 44$$

Accepted Answer

A) 
 
$( - 5 , - 4 )$ 
B) 
 
$( 4,5 )$ 
C) 
 
$\left( \frac { 34 } { 9 } , \frac { 53 } { 9 } \right)$ 
D) 
 
{   } 
A) 
 
$( - 5 , - 4 )$ 
B) 
 
$( 4,5 )$ 
C) 
 
$\left( \frac { 34 } { 9 } , \frac { 53 } { 9 } \right)$ 
D) 
 
{   }

Question 17

Solve the absolute value equation. $$- \frac { 11 } { 4 } + \frac { 2 } { 3 } | 3 y - 6 | = - 2$$

Accepted Answer

A)  {  } 
B)  $\left\{ \frac { 1 } { 3 } , - \frac { 11 } { 2 } \right\}$ 
C)  $\left\{ 2 , - \frac { 5 } { 2 } \right\}$ 
D)  $\left\{ \frac { 13 } { 8 } , \frac { 19 } { 8 } \right\}$ 
A)  {  } 
B)  $\left\{ \frac { 1 } { 3 } , - \frac { 11 } { 2 } \right\}$ 
C)  $\left\{ 2 , - \frac { 5 } { 2 } \right\}$ 
D)  $\left\{ \frac { 13 } { 8 } , \frac { 19 } { 8 } \right\}$

Question 18

Find the intersection of the sets. Write the answer in interval notation. $[ - 1,4 ) \cap ( 1,6 ]$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $[ - 1,6 ]$ 
C)  $( 1,4 )$ 
D)  {  } 
A)  $( - \infty , \infty )$ 
B)  $[ - 1,6 ]$ 
C)  $( 1,4 )$ 
D)  {  }

Question 19

Solve the inequality. $$- \frac { 7 } { 5 } > - 4 - \frac { 1 } { 2 } y \text { or } \frac { 7 } { 6 } > 2 y + \frac { 4 } { 3 }$$

Accepted Answer

A) {  } 
B)  $( - \infty , \infty )$ 
C)  $\left( - \infty , - \frac { 1 } { 12 } \right)$ 
D)  $\left( - \frac { 26 } { 5 } , - \frac { 1 } { 12 } \right)$ 
A) {  } 
B)  $( - \infty , \infty )$ 
C)  $\left( - \infty , - \frac { 1 } { 12 } \right)$ 
D)  $\left( - \frac { 26 } { 5 } , - \frac { 1 } { 12 } \right)$

Question 20

A freight train and a passenger train leave a rail yard at the same time and travel on parallel tracks. The passenger train travels 6 mph faster than the freight train. The combined distance traveled after 2 hours is 100 miles. What is the average speed of each train?

Accepted Answer

A)  22 mph; 28 mph 
B)  24 mph; 30 mph 
C)  21 mph; 27 mph 
D)  19 mph; 25 mph 
A)  22 mph; 28 mph 
B)  24 mph; 30 mph 
C)  21 mph; 27 mph 
D)  19 mph; 25 mph

Solve the equation: $\frac { 8 } { 3 } ( 3 x + 4 ) + 96 = \frac { 32 } { 3 }$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $6.8 k - 5.9 \geq 4.3$

Sparky has scores of 70, 67, and 73 on his first three Sociology tests. If he needs to keep an average of 70 to stay eligible for lacrosse, what scores on the fourth exam will accomplish this?

Identify the inequality that matches the graph below.

Solve the inequality. Write the solution set in interval notation. $y - 11 > 4$

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $| n | \leq 4$

Solve the absolute value equation. $| y | = 19$

Express the equation in the form y = mx + b by solving for y. $- 2 x - 7 y = - 6$

Solve for $r$ . $T = r b - r n$

Solve the inequality and graph the solution set. Write your answer in interval notation. $\frac { 3 } { 5 } u + 1 > 0 \text { or } - 4 u \geq - 12$

Solve the equation: $\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }$

Solve the absolute value inequality. Write the solution in interval notation. $| - 4 z + 32 | \leq 32$

Solve the inequality and graph the solution set. Write your answer in interval notation. $4 ( n - 3 ) > 2 n \text { or } 5 - 3 n \geq 8$

Solve the absolute value equation. $| 8 n | = 0$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $20 + t \leq 7$

Solve the inequality and graph the solution. Write the answer in interval notation. $35 < 9 x - 1 < 44$

Solve the absolute value equation. $- \frac { 11 } { 4 } + \frac { 2 } { 3 } | 3 y - 6 | = - 2$

Find the intersection of the sets. Write the answer in interval notation. $[ - 1,4 ) \cap ( 1,6 ]$

Solve the inequality. $- \frac { 7 } { 5 } > - 4 - \frac { 1 } { 2 } y \text { or } \frac { 7 } { 6 } > 2 y + \frac { 4 } { 3 }$

A freight train and a passenger train leave a rail yard at the same time and travel on parallel tracks. The passenger train travels 6 mph faster than the freight train. The combined distance traveled after 2 hours is 100 miles. What is the average speed of each train?

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

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Exam 1: Linear Equations and Inequalities in One Variable

Solve the equation: 83(3x+4)+96=323\frac { 8 } { 3 } ( 3 x + 4 ) + 96 = \frac { 32 } { 3 }38​(3x+4)+96=332​

Solve the inequality. Graph the solution set and write the solution set in interval notation. 6.8k−5.9≥4.36.8 k - 5.9 \geq 4.36.8k−5.9≥4.3

Sparky has scores of 70, 67, and 73 on his first three Sociology tests. If he needs to keep an average of 70 to stay eligible for lacrosse, what scores on the fourth exam will accomplish this?

Identify the inequality that matches the graph below.

Solve the inequality. Write the solution set in interval notation. y−11>4y - 11 > 4y−11>4

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. ∣n∣≤4| n | \leq 4∣n∣≤4

Solve the absolute value equation. ∣y∣=19| y | = 19∣y∣=19

Express the equation in the form y = mx + b by solving for y. −2x−7y=−6- 2 x - 7 y = - 6−2x−7y=−6

Solve for rrr . T=rb−rnT = r b - r nT=rb−rn

Solve the inequality and graph the solution set. Write your answer in interval notation. 35u+1>0 or −4u≥−12\frac { 3 } { 5 } u + 1 > 0 \text { or } - 4 u \geq - 1253​u+1>0 or −4u≥−12

Solve the equation: 3x+42+5x+43=52+7x5\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }23x+4​+35x+4​=552+7x​

Solve the absolute value inequality. Write the solution in interval notation. ∣−4z+32∣≤32| - 4 z + 32 | \leq 32∣−4z+32∣≤32

Solve the inequality and graph the solution set. Write your answer in interval notation. 4(n−3)>2n or 5−3n≥84 ( n - 3 ) > 2 n \text { or } 5 - 3 n \geq 84(n−3)>2n or 5−3n≥8

Solve the absolute value equation. ∣8n∣=0| 8 n | = 0∣8n∣=0

Solve the inequality. Graph the solution set and write the solution set in interval notation. 20+t≤720 + t \leq 720+t≤7

Solve the inequality and graph the solution. Write the answer in interval notation. 35<9x−1<4435 < 9 x - 1 < 4435<9x−1<44

Solve the absolute value equation. −114+23∣3y−6∣=−2- \frac { 11 } { 4 } + \frac { 2 } { 3 } | 3 y - 6 | = - 2−411​+32​∣3y−6∣=−2

Find the intersection of the sets. Write the answer in interval notation. [−1,4)∩(1,6][ - 1,4 ) \cap ( 1,6 ][−1,4)∩(1,6]

Solve the inequality. −75>−4−12y or 76>2y+43- \frac { 7 } { 5 } > - 4 - \frac { 1 } { 2 } y \text { or } \frac { 7 } { 6 } > 2 y + \frac { 4 } { 3 }−57​>−4−21​y or 67​>2y+34​

A freight train and a passenger train leave a rail yard at the same time and travel on parallel tracks. The passenger train travels 6 mph faster than the freight train. The combined distance traveled after 2 hours is 100 miles. What is the average speed of each train?

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Solve the equation: $\frac { 8 } { 3 } ( 3 x + 4 ) + 96 = \frac { 32 } { 3 }$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $6.8 k - 5.9 \geq 4.3$

Solve the inequality. Write the solution set in interval notation. $y - 11 > 4$

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $| n | \leq 4$

Solve the absolute value equation. $| y | = 19$

Express the equation in the form y = mx + b by solving for y. $- 2 x - 7 y = - 6$

Solve for $r$ . $T = r b - r n$

Solve the inequality and graph the solution set. Write your answer in interval notation. $\frac { 3 } { 5 } u + 1 > 0 \text { or } - 4 u \geq - 12$

Solve the equation: $\frac { 3 x + 4 } { 2 } + \frac { 5 x + 4 } { 3 } = \frac { 52 + 7 x } { 5 }$

Solve the absolute value inequality. Write the solution in interval notation. $| - 4 z + 32 | \leq 32$

Solve the inequality and graph the solution set. Write your answer in interval notation. $4 ( n - 3 ) > 2 n \text { or } 5 - 3 n \geq 8$

Solve the absolute value equation. $| 8 n | = 0$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $20 + t \leq 7$

Solve the inequality and graph the solution. Write the answer in interval notation. $35 < 9 x - 1 < 44$

Solve the absolute value equation. $- \frac { 11 } { 4 } + \frac { 2 } { 3 } | 3 y - 6 | = - 2$

Find the intersection of the sets. Write the answer in interval notation. $[ - 1,4 ) \cap ( 1,6 ]$

Solve the inequality. $- \frac { 7 } { 5 } > - 4 - \frac { 1 } { 2 } y \text { or } \frac { 7 } { 6 } > 2 y + \frac { 4 } { 3 }$