Question 1

Solve the inequality. Write the solution set in interval notation. $11 \leq 6 ( n + 4 ) - 4 n$

Accepted Answer

A)  $\left( - \infty , - \frac { 13 } { 2 } \right)$ 
B)  $\left( - \frac { 13 } { 2 } , \infty \right)$ 
C)  $\left[ - \frac { 13 } { 2 } , \infty \right]$ 
D)  $[ 4,11 ]$ 
A)  $\left( - \infty , - \frac { 13 } { 2 } \right)$ 
B)  $\left( - \frac { 13 } { 2 } , \infty \right)$ 
C)  $\left[ - \frac { 13 } { 2 } , \infty \right]$ 
D)  $[ 4,11 ]$

Question 2

Two angles are complementary. The larger of the two is 3° more than twice the smaller. Find the 2 angles.

Accepted Answer

A)  29° and 61° 
B)  87° and 3° 
C)  31° and 59° 
D)  59° and 121° 
A)  29° and 61° 
B)  87° and 3° 
C)  31° and 59° 
D)  59° and 121°

Question 3

Let $X = \{ x \mid x \geq 16 \}$ and $Y = \{ x \mid x < - 14 \}$. Determine the given intersection. Express the answer in interval notation.
$X \cap Y$

Accepted Answer

A)  $[ - 14,16 )$ 
B)  $( - 14,16 ]$ 
C)  $( - \infty , - 14 ] \cup ( 16 , \infty )$ 
D)  {  } 
A)  $[ - 14,16 )$ 
B)  $( - 14,16 ]$ 
C)  $( - \infty , - 14 ] \cup ( 16 , \infty )$ 
D)  {  }

Question 4

If t represents a number, write an expression for 7 less than twice the number.

Accepted Answer

A)  2t - 7 
B)  2t + 7 
C)  7 - 2t 
D)  2(t - 7) 
A)  2t - 7 
B)  2t + 7 
C)  7 - 2t 
D)  2(t - 7)

Question 5

Solve the absolute value equation. $$| 8 x - 4 | - 4 = - 4$$

Accepted Answer

A)  $\left\{ \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right\}$ 
B)  $\left\{ \frac { 1 } { 2 } \right\}$ 
C)  $\{ 8 , - 4 \}$ 
D) {  } 
A)  $\left\{ \frac { 1 } { 2 } , - \frac { 1 } { 2 } \right\}$ 
B)  $\left\{ \frac { 1 } { 2 } \right\}$ 
C)  $\{ 8 , - 4 \}$ 
D) {  }

Question 6

Solve the inequality. Write the solution set in interval notation. $$- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 9 + y )$$

Accepted Answer

A)  $\left( - \frac { 1 } { 2 } , \infty \right)$ 
B)  $\left( \frac { 5 } { 8 } , \infty \right)$ 
C)  $\left[ - \infty , \frac { 5 } { 8 } \right]$ 
D)  $\left( - \infty , \frac { 5 } { 8 } \right)$ 
A)  $\left( - \frac { 1 } { 2 } , \infty \right)$ 
B)  $\left( \frac { 5 } { 8 } , \infty \right)$ 
C)  $\left[ - \infty , \frac { 5 } { 8 } \right]$ 
D)  $\left( - \infty , \frac { 5 } { 8 } \right)$

Question 7

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 13 is at most 3."

Accepted Answer

A) $| y - 13 | > 3$ B) $| y - 3 | \leq 13$ C) $| y - 13 | < 3$ D) $| y - 13 | \leq 3$ A) $| y - 13 | > 3$ B) $| y - 3 | \leq 13$ C) $| y - 13 | < 3$ D) $| y - 13 | \leq 3$

Question 8

Solve the absolute value equation. $$| 4 x - 7 | = | - 4 x + 7 |$$

Accepted Answer

A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\left\{ - \frac { 7 } { 4 } , \frac { 7 } { 4 } \right\}$ 
C) { } 
D)  $\{ 0 \}$ 
A)  $\{ x \mid x$ is a real number $\}$ 
B)  $\left\{ - \frac { 7 } { 4 } , \frac { 7 } { 4 } \right\}$ 
C) { } 
D)  $\{ 0 \}$

Question 9

Solve the absolute value equation. $$| 12 + 2 x | = | x - 6 |$$

Accepted Answer

A)  {  } 
B)  $\{ - 18 , - 2 \}$ 
C)  $\{ - 18 \}$ 
D)  $\{ - 18 , - 6 \}$ 
A)  {  } 
B)  $\{ - 18 , - 2 \}$ 
C)  $\{ - 18 \}$ 
D)  $\{ - 18 , - 6 \}$

Question 10

Solve the inequality. $\frac { 5 } { 4 } - 2 y < \frac { 3 } { 2 }$ and $\frac { 3 } { 5 } y + 3 < \frac { 13 } { 10 }$

Accepted Answer

A)  $\left( - \infty , - \frac { 17 } { 6 } \right)$ 
B)  {  } 
C)  $\left( - \frac { 5 } { 3 } , - \frac { 1 } { 8 } \right)$ 
D)  $( - \infty , \infty )$ 
A)  $\left( - \infty , - \frac { 17 } { 6 } \right)$ 
B)  {  } 
C)  $\left( - \frac { 5 } { 3 } , - \frac { 1 } { 8 } \right)$ 
D)  $( - \infty , \infty )$

Question 11

Find the intersection of the sets. Write the answer in interval notation.
$$( - 3,3 ] \cap ( 0,5 ]$$

Accepted Answer

A)  $( 0,3 ]$ 
B)  {  } 
C)  $( - 3,5 ]$ 
D)  $[ 0,3 )$ 
A)  $( 0,3 ]$ 
B)  {  } 
C)  $( - 3,5 ]$ 
D)  $[ 0,3 )$

Question 12

Solve the equation: -5(2y + 3) + 5 = 40.

Accepted Answer

The answer of Solve the equation: -5(2y + 3) +...

Question 13

Solve the equation: - $$- \frac { 1 } { 5 } ( t + 6 ) - 2 = 3 t + \frac { 2 } { 3 }$$

Accepted Answer

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

Question 14

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $$- 16 + | 2 m - 10 | < - 16$$

Accepted Answer

A) 
 
{  } 
B) 
 
$( - \infty , 5 )$ 
C) 
 
$(-\infty, \infty)$ 
D) 
 
$\{ 5 \}$ 
A) 
 
{  } 
B) 
 
$( - \infty , 5 )$ 
C) 
 
$(-\infty, \infty)$ 
D) 
 
$\{ 5 \}$

Question 15

Solve the absolute value inequality. Write the solution in interval notation. $$- 6 \geq | 2 b - 12 |$$

Accepted Answer

A)  $[ 3,9 ]$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , 3 ] \cup [ 9 , \infty )$ 
D)  {  } 
A)  $[ 3,9 ]$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , 3 ] \cup [ 9 , \infty )$ 
D)  {  }

Question 16

Solve the inequality. Write the solution set in interval notation. $$7 ( x - 3 ) - 6 x \geq - 7$$

Accepted Answer

A)  $( - \infty , 14 ]$ 
B)  $[ 14 , \infty )$ 
C)  $( 14 , \infty )$ 
D)  $[ - 4 , \infty )$ 
A)  $( - \infty , 14 ]$ 
B)  $[ 14 , \infty )$ 
C)  $( 14 , \infty )$ 
D)  $[ - 4 , \infty )$

Question 17

Which expression is equivalent to $- 13 / ( x - 10 )$ ?

Accepted Answer

A)  $\frac { - 13 } { 10 + x }$ 
B)  $\frac { - 13 } { 10 - x }$ 
C)  $\frac { 13 } { 10 - x }$ 
D)  $\frac { 13 } { 10 + x }$ 
A)  $\frac { - 13 } { 10 + x }$ 
B)  $\frac { - 13 } { 10 - x }$ 
C)  $\frac { 13 } { 10 - x }$ 
D)  $\frac { 13 } { 10 + x }$

Question 18

Solve the inequality. Graph the solution set and write the solution set in interval notation. $$- 4 y > 18$$

Accepted Answer

A) 
 
$\left( - \infty , - \frac { 9 } { 2 } \right)$ 
B) 
 
$( 22 , \infty )$ 
C) 
 
$( 22 , \infty )$ 
D) 
 
$\left( - \frac { 9 } { 2 } , \infty \right)$ 
A) 
 
$\left( - \infty , - \frac { 9 } { 2 } \right)$ 
B) 
 
$( 22 , \infty )$ 
C) 
 
$( 22 , \infty )$ 
D) 
 
$\left( - \frac { 9 } { 2 } , \infty \right)$

Question 19

Solve the absolute value equation. $$18 - | x | = - 20$$

Accepted Answer

The answer of Solve the absolute value equation. \[18 -...

Question 20

Use substitution to determine which value is the solution to 5x + 3 = 18.

Accepted Answer

A)  x = 2 
B)  x = 9 
C)  x = 3 
D)  x = 1 
A)  x = 2 
B)  x = 9 
C)  x = 3 
D)  x = 1

Solve the inequality. Write the solution set in interval notation. $11 \leq 6 ( n + 4 ) - 4 n$

Two angles are complementary. The larger of the two is 3° more than twice the smaller. Find the 2 angles.

Let $X = \{ x \mid x \geq 16 \}$ and $Y = \{ x \mid x < - 14 \}$ . Determine the given intersection. Express the answer in interval notation. $X \cap Y$

If t represents a number, write an expression for 7 less than twice the number.

Solve the absolute value equation. $| 8 x - 4 | - 4 = - 4$

Solve the inequality. Write the solution set in interval notation. $- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 9 + y )$

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 13 is at most 3."

Solve the absolute value equation. $| 4 x - 7 | = | - 4 x + 7 |$

Solve the absolute value equation. $| 12 + 2 x | = | x - 6 |$

Solve the inequality. $\frac { 5 } { 4 } - 2 y < \frac { 3 } { 2 }$ and $\frac { 3 } { 5 } y + 3 < \frac { 13 } { 10 }$

Find the intersection of the sets. Write the answer in interval notation. $( - 3,3 ] \cap ( 0,5 ]$

Solve the equation: -5(2y + 3) + 5 = 40.

Solve the equation: - $- \frac { 1 } { 5 } ( t + 6 ) - 2 = 3 t + \frac { 2 } { 3 }$

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $- 16 + | 2 m - 10 | < - 16$

Solve the absolute value inequality. Write the solution in interval notation. $- 6 \geq | 2 b - 12 |$

Solve the inequality. Write the solution set in interval notation. $7 ( x - 3 ) - 6 x \geq - 7$

Which expression is equivalent to $- 13 / ( x - 10 )$ ?

Solve the inequality. Graph the solution set and write the solution set in interval notation. $- 4 y > 18$

Solve the absolute value equation. $18 - | x | = - 20$

Use substitution to determine which value is the solution to 5x + 3 = 18.

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

Exam 1: Linear Equations and Inequalities in One Variable

Solve the inequality. Write the solution set in interval notation. 11≤6(n+4)−4n11 \leq 6 ( n + 4 ) - 4 n11≤6(n+4)−4n

Two angles are complementary. The larger of the two is 3° more than twice the smaller. Find the 2 angles.

Let X={x∣x≥16}X = \{ x \mid x \geq 16 \}X={x∣x≥16} and Y={x∣x<−14}Y = \{ x \mid x < - 14 \}Y={x∣x<−14} . Determine the given intersection. Express the answer in interval notation. X∩YX \cap YX∩Y

If t represents a number, write an expression for 7 less than twice the number.

Solve the absolute value equation. ∣8x−4∣−4=−4| 8 x - 4 | - 4 = - 4∣8x−4∣−4=−4

Solve the inequality. Write the solution set in interval notation. −2(4y−7)+y≥2y−(−9+y)- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 9 + y )−2(4y−7)+y≥2y−(−9+y)

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 13 is at most 3."

Solve the absolute value equation. ∣4x−7∣=∣−4x+7∣| 4 x - 7 | = | - 4 x + 7 |∣4x−7∣=∣−4x+7∣

Solve the absolute value equation. ∣12+2x∣=∣x−6∣| 12 + 2 x | = | x - 6 |∣12+2x∣=∣x−6∣

Solve the inequality. 54−2y<32\frac { 5 } { 4 } - 2 y < \frac { 3 } { 2 }45​−2y<23​ and 35y+3<1310\frac { 3 } { 5 } y + 3 < \frac { 13 } { 10 }53​y+3<1013​

Find the intersection of the sets. Write the answer in interval notation. (−3,3]∩(0,5]( - 3,3 ] \cap ( 0,5 ](−3,3]∩(0,5]

Solve the equation: -5(2y + 3) + 5 = 40.

Solve the equation: - −15(t+6)−2=3t+23- \frac { 1 } { 5 } ( t + 6 ) - 2 = 3 t + \frac { 2 } { 3 }−51​(t+6)−2=3t+32​

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. −16+∣2m−10∣<−16- 16 + | 2 m - 10 | < - 16−16+∣2m−10∣<−16

Solve the absolute value inequality. Write the solution in interval notation. −6≥∣2b−12∣- 6 \geq | 2 b - 12 |−6≥∣2b−12∣

Solve the inequality. Write the solution set in interval notation. 7(x−3)−6x≥−77 ( x - 3 ) - 6 x \geq - 77(x−3)−6x≥−7

Which expression is equivalent to −13/(x−10)- 13 / ( x - 10 )−13/(x−10) ?

Solve the inequality. Graph the solution set and write the solution set in interval notation. −4y>18- 4 y > 18−4y>18

Solve the absolute value equation. 18−∣x∣=−2018 - | x | = - 2018−∣x∣=−20

Use substitution to determine which value is the solution to 5x + 3 = 18.

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 inequality. Write the solution set in interval notation. $11 \leq 6 ( n + 4 ) - 4 n$

Let $X = \{ x \mid x \geq 16 \}$ and $Y = \{ x \mid x < - 14 \}$ . Determine the given intersection. Express the answer in interval notation. $X \cap Y$

Solve the absolute value equation. $| 8 x - 4 | - 4 = - 4$

Solve the inequality. Write the solution set in interval notation. $- 2 ( 4 y - 7 ) + y \geq 2 y - ( - 9 + y )$

Solve the absolute value equation. $| 4 x - 7 | = | - 4 x + 7 |$

Solve the absolute value equation. $| 12 + 2 x | = | x - 6 |$

Solve the inequality. $\frac { 5 } { 4 } - 2 y < \frac { 3 } { 2 }$ and $\frac { 3 } { 5 } y + 3 < \frac { 13 } { 10 }$

Find the intersection of the sets. Write the answer in interval notation. $( - 3,3 ] \cap ( 0,5 ]$

Solve the equation: - $- \frac { 1 } { 5 } ( t + 6 ) - 2 = 3 t + \frac { 2 } { 3 }$

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $- 16 + | 2 m - 10 | < - 16$

Solve the absolute value inequality. Write the solution in interval notation. $- 6 \geq | 2 b - 12 |$

Solve the inequality. Write the solution set in interval notation. $7 ( x - 3 ) - 6 x \geq - 7$

Which expression is equivalent to $- 13 / ( x - 10 )$ ?

Solve the inequality. Graph the solution set and write the solution set in interval notation. $- 4 y > 18$

Solve the absolute value equation. $18 - | x | = - 20$