Question 1

Two times the sum of three consecutive odd integers is the same as 25 more than 5 times the largest integer. Find the integers.

Accepted Answer

A)  37, 39, and 41 
B)  25, 27, and 29 
C)  33, 35, and 37 
D)  29, 31, and 33 
A)  37, 39, and 41 
B)  25, 27, and 29 
C)  33, 35, and 37 
D)  29, 31, and 33

Question 2

Solve the absolute value inequality. Write the solution in interval notation. $$24 \leq 12 + | - 4 t + 1 |$$

Accepted Answer

The answer of Solve the absolute value inequality. Write the...

Question 3

In order to qualify for an age-based discount, visitors to a state park must be younger than 4 or older than 67. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors that have to pay full price.

Accepted Answer

A) $x 67$ B) $x \leq 4$ or $x \leq 67$ C) $4 \leq x \leq 67$ D) $x > 4$ and $x < 67$ A) $x 67$ B) $x \leq 4$ or $x \leq 67$ C) $4 \leq x \leq 67$ D) $x > 4$ and $x < 67$

Question 4

Use substitution to determine which value is the solution to -9y - 8 = 19.

Accepted Answer

A)  x = -5 
B)  x = -3 
C)  x = -4 
D)  x = -19 
A)  x = -5 
B)  x = -3 
C)  x = -4 
D)  x = -19

Question 5

Solve the inequality and graph the solution. Write the answer in interval notation. $8 m - 4 \geq 12$ or $4 m < - 8$

Accepted Answer

A) 
 
$( - \infty , - 2 ] \cup [ 2 , \infty )$ 
B) 
 
$( - \infty , - 2 ) \cup ( 2 , \infty )$ 
C)  None of these 
D) 
 
$( - \infty , - 2 ) \cup ( 2 , \infty )$ 
A) 
 
$( - \infty , - 2 ] \cup [ 2 , \infty )$ 
B) 
 
$( - \infty , - 2 ) \cup ( 2 , \infty )$ 
C)  None of these 
D) 
 
$( - \infty , - 2 ) \cup ( 2 , \infty )$

Question 6

A plot of land in the shape of an isosceles triangle will be used for an outdoor concert venue. The sides that are equal in length will be twice as long as the third side; the perimeter will be 450 yards.
Find the dimensions.

Accepted Answer

The answer of A plot of land in the shape...

Question 7

After his annual review, Miguel's salary was increased from $32,000 per year to $35,000. What percent increase does this represent? Round your answer to the nearest tenth of a percent.

Accepted Answer

A)  9.4% 
B)  91.4% 
C)  8.6% 
D)  3000% 
A)  9.4% 
B)  91.4% 
C)  8.6% 
D)  3000%

Question 8

Find the intersection of the sets. Write the answer in interval notation.
$$( - \infty , - 9 ] \cap ( - 7 , \infty )$$

Accepted Answer

A)  $( - 9 , - 7 )$ 
B)  $[ - 9 , - 7 )$ 
C)  { } 
D)  $( - 9 , - 7 ]$ 
A)  $( - 9 , - 7 )$ 
B)  $[ - 9 , - 7 )$ 
C)  { } 
D)  $( - 9 , - 7 ]$

Question 9

Solve the absolute value inequality. Write the solution in interval notation. $$8 + | 2 x - 11 | \geq 2$$

Accepted Answer

A)  $\left[ \frac { 5 } { 2 } , \frac { 17 } { 2 } \right]$ 
B)  {  } 
C)  $( - \infty , \infty )$ 
D)  $\left( - \infty , \frac { 5 } { 2 } \right] \cup \left[ \frac { 17 } { 2 } , \infty \right)$ 
A)  $\left[ \frac { 5 } { 2 } , \frac { 17 } { 2 } \right]$ 
B)  {  } 
C)  $( - \infty , \infty )$ 
D)  $\left( - \infty , \frac { 5 } { 2 } \right] \cup \left[ \frac { 17 } { 2 } , \infty \right)$

Question 10

Solve for the indicated variable. $C = 2 \pi r$ for $r$

Accepted Answer

A)  $r = \frac { 2 C } { \pi }$ 
B)  $r = \frac { C } { 2 \pi }$ 
C)  $r = \frac { \pi } { 2 C }$ 
D)  $r = \frac { 2 \pi } { C }$ 
A)  $r = \frac { 2 C } { \pi }$ 
B)  $r = \frac { C } { 2 \pi }$ 
C)  $r = \frac { \pi } { 2 C }$ 
D)  $r = \frac { 2 \pi } { C }$

Question 11

Solve for F. $$C = \frac { 5 } { 9 } ( F - 32 )$$

Accepted Answer

A)  $F = \frac { 9 } { 5 } C + 32$ 
B)  $F = \frac { 9 } { 5 } C - 32$ 
C)  $F = \frac { 9 } { 5 } ( C + 32 )$ 
D)  $F = \frac { 9 } { 5 } ( C - 32 )$ 
A)  $F = \frac { 9 } { 5 } C + 32$ 
B)  $F = \frac { 9 } { 5 } C - 32$ 
C)  $F = \frac { 9 } { 5 } ( C + 32 )$ 
D)  $F = \frac { 9 } { 5 } ( C - 32 )$

Two times the sum of three consecutive odd integers is the same as 25 more than 5 times the largest integer. Find the integers.

Solve the absolute value inequality. Write the solution in interval notation. $24 \leq 12 + | - 4 t + 1 |$

In order to qualify for an age-based discount, visitors to a state park must be younger than 4 or older than 67. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors that have to pay full price.

Use substitution to determine which value is the solution to -9y - 8 = 19.

Solve the inequality and graph the solution. Write the answer in interval notation. $8 m - 4 \geq 12$ or $4 m < - 8$

A plot of land in the shape of an isosceles triangle will be used for an outdoor concert venue. The sides that are equal in length will be twice as long as the third side; the perimeter will be 450 yards. Find the dimensions.

After his annual review, Miguel's salary was increased from $32,000 per year to $35,000. What percent increase does this represent? Round your answer to the nearest tenth of a percent.

Find the intersection of the sets. Write the answer in interval notation. $( - \infty , - 9 ] \cap ( - 7 , \infty )$

Solve the absolute value inequality. Write the solution in interval notation. $8 + | 2 x - 11 | \geq 2$

Solve for the indicated variable. $C = 2 \pi r$ for $r$

Solve for F. $C = \frac { 5 } { 9 } ( F - 32 )$

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

Two times the sum of three consecutive odd integers is the same as 25 more than 5 times the largest integer. Find the integers.

Solve the absolute value inequality. Write the solution in interval notation. 24≤12+∣−4t+1∣24 \leq 12 + | - 4 t + 1 |24≤12+∣−4t+1∣

In order to qualify for an age-based discount, visitors to a state park must be younger than 4 or older than 67. Let x represent the age of a visitor to the park. Write an inequality that represents the ages Of visitors that have to pay full price.

Use substitution to determine which value is the solution to -9y - 8 = 19.

Solve the inequality and graph the solution. Write the answer in interval notation. 8m−4≥128 m - 4 \geq 128m−4≥12 or 4m<−84 m < - 84m<−8

A plot of land in the shape of an isosceles triangle will be used for an outdoor concert venue. The sides that are equal in length will be twice as long as the third side; the perimeter will be 450 yards. Find the dimensions.

After his annual review, Miguel's salary was increased from $32,000 per year to $35,000. What percent increase does this represent? Round your answer to the nearest tenth of a percent.

Find the intersection of the sets. Write the answer in interval notation. (−∞,−9]∩(−7,∞)( - \infty , - 9 ] \cap ( - 7 , \infty )(−∞,−9]∩(−7,∞)

Solve the absolute value inequality. Write the solution in interval notation. 8+∣2x−11∣≥28 + | 2 x - 11 | \geq 28+∣2x−11∣≥2

Solve for the indicated variable. C=2πrC = 2 \pi rC=2πr for rrr

Solve for F. C=59(F−32)C = \frac { 5 } { 9 } ( F - 32 )C=95​(F−32)

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 absolute value inequality. Write the solution in interval notation. $24 \leq 12 + | - 4 t + 1 |$

Solve the inequality and graph the solution. Write the answer in interval notation. $8 m - 4 \geq 12$ or $4 m < - 8$

Find the intersection of the sets. Write the answer in interval notation. $( - \infty , - 9 ] \cap ( - 7 , \infty )$

Solve the absolute value inequality. Write the solution in interval notation. $8 + | 2 x - 11 | \geq 2$

Solve for the indicated variable. $C = 2 \pi r$ for $r$

Solve for F. $C = \frac { 5 } { 9 } ( F - 32 )$