Question 1

Let $X = \{ x \mid x \geq 8 \}$ and $Y = \{ x \mid x < 17 \}$. Determine the given intersection. Express the answer in interval notation.
$X \cap Y$

Accepted Answer

A)  $( 8,17 ]$ 
B)  $( - \infty , 8 ] \cup ( 17 , \infty )$ 
C) {  } 
D)  $[ 8,17 )$ 
A)  $( 8,17 ]$ 
B)  $( - \infty , 8 ] \cup ( 17 , \infty )$ 
C) {  } 
D)  $[ 8,17 )$

Question 2

Solve the equation: 2(-3 - 3x) = 24.

Accepted Answer

The answer of Solve the equation: 2(-3 - 3x) =...

Question 3

Solve the inequality. Write the solution set in interval notation. $- 8 - 8 z \leq - 3$

Accepted Answer

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

Question 4

A rental company charges a flat fee of $7 to rent a power washer, plus $4 per day. How many days could you keep the power washer if you plan to spend no more than $34?

Accepted Answer

You can ke

Question 5

Solve the absolute value equation. $$| - 3 - 8 p | = | - 8 p + 15 |$$

Accepted Answer

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

Question 6

Solve the inequality and graph the solution. Write the answer in interval notation. $$2 \geq \frac { 4 x - 22 } { - 3 } > 1$$

Accepted Answer

A) 
 
$\left[ - \frac { 19 } { 4 } , - 4 \right]$ 
B) 
 
{  } 
C) 
 
$\left[ 4 , \frac { 19 } { 4 } \right]$ 
D) 
 
$\left[ - 7 , - \frac { 25 } { 4 } \right]$ 
A) 
 
$\left[ - \frac { 19 } { 4 } , - 4 \right]$ 
B) 
 
{  } 
C) 
 
$\left[ 4 , \frac { 19 } { 4 } \right]$ 
D) 
 
$\left[ - 7 , - \frac { 25 } { 4 } \right]$

Question 7

Solve for x and then use its value to find the measure of each angle.  
$$\text { (Figure is not necessarily drawn to scale.) }$$

Accepted Answer

A)  $38 ^ { \circ } , 110 ^ { \circ } , 32 ^ { \circ }$ 
B)  $38 ^ { \circ } , 112 ^ { \circ } , 30 ^ { \circ }$ 
C)  $36 ^ { \circ } , 107 ^ { \circ } , 37 ^ { \circ }$ 
D)  $36 ^ { \circ } , 110 ^ { \circ } , 34 ^ { \circ }$ 
A)  $38 ^ { \circ } , 110 ^ { \circ } , 32 ^ { \circ }$ 
B)  $38 ^ { \circ } , 112 ^ { \circ } , 30 ^ { \circ }$ 
C)  $36 ^ { \circ } , 107 ^ { \circ } , 37 ^ { \circ }$ 
D)  $36 ^ { \circ } , 110 ^ { \circ } , 34 ^ { \circ }$

Question 8

Solve the absolute value equation.
$$\frac { 7 } { 10 } + \left| x + \frac { 7 } { 10 } \right| = \frac { 4 } { 5 }$$

Accepted Answer

The answer of Solve the absolute value equation.
\[\frac { 7...

Question 9

Solve the absolute value equation. $$2 - | 3 w - 18 | = 8$$

Accepted Answer

A)  $\{ 4 \}$ 
B)  {  } 
C)  $\{ 8,4 \}$ 
D)  $\{ 6,2 \}$ 
A)  $\{ 4 \}$ 
B)  {  } 
C)  $\{ 8,4 \}$ 
D)  $\{ 6,2 \}$

Question 10

Solve the inequality. Write the answer in interval notation. $$- 2 < - 2 y + 19 < 10$$

Accepted Answer

A)  $\left[ \frac { 9 } { 2 } , \frac { 21 } { 2 } \right]$ 
B)  $\left( \frac { 9 } { 2 } , \frac { 21 } { 2 } \right)$ 
C)  $\left( \frac { 21 } { 2 } , 10 \right)$ 
D)  $\left( \frac { 21 } { 2 } , \frac { 9 } { 2 } \right)$ 
A)  $\left[ \frac { 9 } { 2 } , \frac { 21 } { 2 } \right]$ 
B)  $\left( \frac { 9 } { 2 } , \frac { 21 } { 2 } \right)$ 
C)  $\left( \frac { 21 } { 2 } , 10 \right)$ 
D)  $\left( \frac { 21 } { 2 } , \frac { 9 } { 2 } \right)$

Question 11

Solve the inequality and graph the solution. Write the answer in interval notation. $$14 \leq 8 x - 2 < 30$$

Accepted Answer

A) 
 
$\left[\frac{3}{2}, \frac{19}{4}\right)$ 
B) 
 
{  } 
C) 
 
$[ - 4 , - 2 )$ 
D) 
 
$[ 2,4 )$ 
A) 
 
$\left[\frac{3}{2}, \frac{19}{4}\right)$ 
B) 
 
{  } 
C) 
 
$[ - 4 , - 2 )$ 
D) 
 
$[ 2,4 )$

Question 12

A car dealership marks up all new automobiles by 15%. What was the original wholesale cost of a car with a sticker price at this dealership of $22,500? Round your answer to the nearest cent.

Accepted Answer

A)  $19,565.22 
B)  $25,875.00 
C)  $3,375.00 
D)  $18,700.00 
A)  $19,565.22 
B)  $25,875.00 
C)  $3,375.00 
D)  $18,700.00

Question 13

Solve the absolute value equation. $$| z | + 5 = - 17$$

Accepted Answer

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

Question 14

Solve the inequality. Write the answer in interval notation. $- 1 < x + 3 \leq 15$

Accepted Answer

A)  $( - 4,15 ]$ 
B)  $[ 12 , - 4 )$ 
C)  $( - 4 , \infty )$ 
D)  $( - 4,12 ]$ 
A)  $( - 4,15 ]$ 
B)  $[ 12 , - 4 )$ 
C)  $( - 4 , \infty )$ 
D)  $( - 4,12 ]$

Question 15

Solve the equation: 6 - 3(-2 - 4x) = 2(3(x - 4) + 7).

Accepted Answer

A)  $x = - \frac { 11 } { 3 }$ 
B)  $x = 4$ 
C)  $x = \frac { 11 } { 3 }$ 
D)  $x = - \frac { 29 } { 6 }$ 
A)  $x = - \frac { 11 } { 3 }$ 
B)  $x = 4$ 
C)  $x = \frac { 11 } { 3 }$ 
D)  $x = - \frac { 29 } { 6 }$

Question 16

In statistics, the $z$-score formula $z = \frac { x - \mu } { \sigma }$ is used in studying probability.
a. Solve $z = \frac { x - \mu } { \sigma }$ for $x$.
b. Find $x$ when $z = 2.5 , \mu = 80$, and $\sigma = 20$

Accepted Answer

The answer of In statistics, the $z$-score formula \(z =...

Question 17

Solve the absolute value inequality. Write the solution in interval notation. $$24 \geq 32 + \lfloor y + 14 \mid$$

Accepted Answer

A)  {  } 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , - 22 ]$ 
D)  $[ - 22 , - 6 ]$ 
A)  {  } 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , - 22 ]$ 
D)  $[ - 22 , - 6 ]$

Question 18

Solve the absolute value inequality. Write the solution in interval notation. $| 4 w - 7 | \geq 5$

Accepted Answer

A)  $( - \infty , 3 ] \cup \left[ - \frac { 1 } { 2 } , \infty \right)$ 
B)  $\left[ - 3 , - \frac { 1 } { 2 } \right]$ 
C)  $\left[ - \infty , \frac { 1 } { 2 } \right] \cup [ 3 , \infty )$ 
D)  $\left[ \frac { 1 } { 2 } , 3 \right]$ 
A)  $( - \infty , 3 ] \cup \left[ - \frac { 1 } { 2 } , \infty \right)$ 
B)  $\left[ - 3 , - \frac { 1 } { 2 } \right]$ 
C)  $\left[ - \infty , \frac { 1 } { 2 } \right] \cup [ 3 , \infty )$ 
D)  $\left[ \frac { 1 } { 2 } , 3 \right]$

Question 19

In order to qualify for an age-based discount, visitors to a state park must be younger than 9 or older than 62. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors qualifying for the discount.

Accepted Answer

A) $x 62$ B) $9 \leq x \leq 62$ C) $x \leq 9$ or $x \leq 62$ D) $x > 9$ and $x < 62$ A) $x 62$ B) $9 \leq x \leq 62$ C) $x \leq 9$ or $x \leq 62$ D) $x > 9$ and $x < 62$

Question 20

Solve the inequality. Write the answer in interval notation. $9 x \geq 9 \quad$ and $\quad 7 - x > 0$

Accepted Answer

A)  $[ 1,7 )$ 
B)  $( 1,7 ]$ 
C)  $( - \infty , \infty )$ 
D)  $( 7 , \infty )$ 
A)  $[ 1,7 )$ 
B)  $( 1,7 ]$ 
C)  $( - \infty , \infty )$ 
D)  $( 7 , \infty )$

Let $X = \{ x \mid x \geq 8 \}$ and $Y = \{ x \mid x < 17 \}$ . Determine the given intersection. Express the answer in interval notation. $X \cap Y$

Solve the equation: 2(-3 - 3x) = 24.

Solve the inequality. Write the solution set in interval notation. $- 8 - 8 z \leq - 3$

A rental company charges a flat fee of $7 to rent a power washer, plus $4 per day. How many days could you keep the power washer if you plan to spend no more than $34?

Solve the absolute value equation. $| - 3 - 8 p | = | - 8 p + 15 |$

Solve the inequality and graph the solution. Write the answer in interval notation. $2 \geq \frac { 4 x - 22 } { - 3 } > 1$

Solve for x and then use its value to find the measure of each angle. $Solve for x and then use its value to find the measure of each angle. \text { (Figure is not necessarily drawn to scale.) }$ $\text { (Figure is not necessarily drawn to scale.) }$

Solve the absolute value equation. $\frac { 7 } { 10 } + \left| x + \frac { 7 } { 10 } \right| = \frac { 4 } { 5 }$

Solve the absolute value equation. $2 - | 3 w - 18 | = 8$

Solve the inequality. Write the answer in interval notation. $- 2 < - 2 y + 19 < 10$

Solve the inequality and graph the solution. Write the answer in interval notation. $14 \leq 8 x - 2 < 30$

A car dealership marks up all new automobiles by 15%. What was the original wholesale cost of a car with a sticker price at this dealership of $22,500? Round your answer to the nearest cent.

Solve the absolute value equation. $| z | + 5 = - 17$

Solve the inequality. Write the answer in interval notation. $- 1 < x + 3 \leq 15$

Solve the equation: 6 - 3(-2 - 4x) = 2(3(x - 4) + 7).

In statistics, the $z$ -score formula $z = \frac { x - \mu } { \sigma }$ is used in studying probability. a. Solve $z = \frac { x - \mu } { \sigma }$ for $x$ . b. Find $x$ when $z = 2.5 , \mu = 80$ , and $\sigma = 20$

Solve the absolute value inequality. Write the solution in interval notation. $24 \geq 32 + \lfloor y + 14 \mid$

Solve the absolute value inequality. Write the solution in interval notation. $| 4 w - 7 | \geq 5$

In order to qualify for an age-based discount, visitors to a state park must be younger than 9 or older than 62. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors qualifying for the discount.

Solve the inequality. Write the answer in interval notation. $9 x \geq 9 \quad$ and $\quad 7 - x > 0$

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

Let X={x∣x≥8}X = \{ x \mid x \geq 8 \}X={x∣x≥8} and Y={x∣x<17}Y = \{ x \mid x < 17 \}Y={x∣x<17} . Determine the given intersection. Express the answer in interval notation. X∩YX \cap YX∩Y

Solve the equation: 2(-3 - 3x) = 24.

Solve the inequality. Write the solution set in interval notation. −8−8z≤−3- 8 - 8 z \leq - 3−8−8z≤−3

A rental company charges a flat fee of $7 to rent a power washer, plus $4 per day. How many days could you keep the power washer if you plan to spend no more than $34?

Solve the absolute value equation. ∣−3−8p∣=∣−8p+15∣| - 3 - 8 p | = | - 8 p + 15 |∣−3−8p∣=∣−8p+15∣

Solve the inequality and graph the solution. Write the answer in interval notation. 2≥4x−22−3>12 \geq \frac { 4 x - 22 } { - 3 } > 12≥−34x−22​>1

Solve for x and then use its value to find the measure of each angle. (Figure is not necessarily drawn to scale.) \text { (Figure is not necessarily drawn to scale.) } (Figure is not necessarily drawn to scale.)

Solve the absolute value equation. 710+∣x+710∣=45\frac { 7 } { 10 } + \left| x + \frac { 7 } { 10 } \right| = \frac { 4 } { 5 }107​+​x+107​​=54​

Solve the absolute value equation. 2−∣3w−18∣=82 - | 3 w - 18 | = 82−∣3w−18∣=8

Solve the inequality. Write the answer in interval notation. −2<−2y+19<10- 2 < - 2 y + 19 < 10−2<−2y+19<10

Solve the inequality and graph the solution. Write the answer in interval notation. 14≤8x−2<3014 \leq 8 x - 2 < 3014≤8x−2<30

A car dealership marks up all new automobiles by 15%. What was the original wholesale cost of a car with a sticker price at this dealership of $22,500? Round your answer to the nearest cent.

Solve the absolute value equation. ∣z∣+5=−17| z | + 5 = - 17∣z∣+5=−17

Solve the inequality. Write the answer in interval notation. −1<x+3≤15- 1 < x + 3 \leq 15−1<x+3≤15

Solve the equation: 6 - 3(-2 - 4x) = 2(3(x - 4) + 7).

In statistics, the zzz -score formula z=x−μσz = \frac { x - \mu } { \sigma }z=σx−μ​ is used in studying probability. a. Solve z=x−μσz = \frac { x - \mu } { \sigma }z=σx−μ​ for xxx . b. Find xxx when z=2.5,μ=80z = 2.5 , \mu = 80z=2.5,μ=80 , and σ=20\sigma = 20σ=20

Solve the absolute value inequality. Write the solution in interval notation. 24≥32+⌊y+14∣24 \geq 32 + \lfloor y + 14 \mid24≥32+⌊y+14∣

Solve the absolute value inequality. Write the solution in interval notation. ∣4w−7∣≥5| 4 w - 7 | \geq 5∣4w−7∣≥5

In order to qualify for an age-based discount, visitors to a state park must be younger than 9 or older than 62. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors qualifying for the discount.

Solve the inequality. Write the answer in interval notation. 9x≥99 x \geq 9 \quad9x≥9 and 7−x>0\quad 7 - x > 07−x>0

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

Let $X = \{ x \mid x \geq 8 \}$ and $Y = \{ x \mid x < 17 \}$ . Determine the given intersection. Express the answer in interval notation. $X \cap Y$

Solve the inequality. Write the solution set in interval notation. $- 8 - 8 z \leq - 3$

Solve the absolute value equation. $| - 3 - 8 p | = | - 8 p + 15 |$

Solve the inequality and graph the solution. Write the answer in interval notation. $2 \geq \frac { 4 x - 22 } { - 3 } > 1$

Solve for x and then use its value to find the measure of each angle. $Solve for x and then use its value to find the measure of each angle. \text { (Figure is not necessarily drawn to scale.) }$ $\text { (Figure is not necessarily drawn to scale.) }$

Solve the absolute value equation. $\frac { 7 } { 10 } + \left| x + \frac { 7 } { 10 } \right| = \frac { 4 } { 5 }$

Solve the absolute value equation. $2 - | 3 w - 18 | = 8$

Solve the inequality. Write the answer in interval notation. $- 2 < - 2 y + 19 < 10$

Solve the inequality and graph the solution. Write the answer in interval notation. $14 \leq 8 x - 2 < 30$

Solve the absolute value equation. $| z | + 5 = - 17$

Solve the inequality. Write the answer in interval notation. $- 1 < x + 3 \leq 15$

In statistics, the $z$ -score formula $z = \frac { x - \mu } { \sigma }$ is used in studying probability. a. Solve $z = \frac { x - \mu } { \sigma }$ for $x$ . b. Find $x$ when $z = 2.5 , \mu = 80$ , and $\sigma = 20$

Solve the absolute value inequality. Write the solution in interval notation. $24 \geq 32 + \lfloor y + 14 \mid$

Solve the absolute value inequality. Write the solution in interval notation. $| 4 w - 7 | \geq 5$

Solve the inequality. Write the answer in interval notation. $9 x \geq 9 \quad$ and $\quad 7 - x > 0$