Question 1

Solve for x and then use its value to find the measure of each angle.

(Figure is not necessarily drawn to scale.)

Accepted Answer

A)  $29 ^ { \circ }$ 
B)  $28 ^ { \circ }$ 
C)  $26 ^ { \circ }$ 
D)  $24 ^ { \circ }$ 
A)  $29 ^ { \circ }$ 
B)  $28 ^ { \circ }$ 
C)  $26 ^ { \circ }$ 
D)  $24 ^ { \circ }$

Question 2

Solve the equation: -3x + 8 = 7.

Accepted Answer

The answer of Solve the equation: -3x + 8 =...

Question 3

Solve the inequality. Write the solution set in interval notation using fractions.
$$0.21 n - 3 \leq - 0.1 ( - 5 - n )$$

Accepted Answer

The answer of Solve the inequality. Write the solution set...

Question 4

Solve the absolute value inequality. Write the solution in interval notation. $$2 + | 2 m - 8 | < 2$$

Accepted Answer

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

Question 5

Solve the inequality and graph the solution. Write the answer in interval notation. $$- 5 \leq 3 x - 8 \leq - 2$$

Accepted Answer

A) 
 
{  } 
B) 
 
$[ 1,2 ]$ 
C) 
 
$\left[ - \frac { 13 } { 3 } , \frac { 1 } { 3 } \right]$ 
D) 
 
$[-2,-1]$ 
A) 
 
{  } 
B) 
 
$[ 1,2 ]$ 
C) 
 
$\left[ - \frac { 13 } { 3 } , \frac { 1 } { 3 } \right]$ 
D) 
 
$[-2,-1]$

Question 6

Solve for the indicated variable. $L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }$ for $T$

Accepted Answer

A)  $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } + T _ { 0 } \right)$ 
B)  $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } \right) + T _ { 0 }$ 
C)  $T = \alpha \left( L - L _ { 0 } \right) + T _ { 0 }$ 
D)  $T = \frac { L } { \alpha } - L _ { 0 } + T _ { 0 }$ 
A)  $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } + T _ { 0 } \right)$ 
B)  $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } \right) + T _ { 0 }$ 
C)  $T = \alpha \left( L - L _ { 0 } \right) + T _ { 0 }$ 
D)  $T = \frac { L } { \alpha } - L _ { 0 } + T _ { 0 }$

Question 7

Given $A = \{ - 3 , - 26,10,30 , - 14,9 \}$ and $B = \{ - 9,6,10 , - 14 \}$, list the elements of $A \cap B$.

Accepted Answer

A)  $\{ 10 , - 14 \}$ 
B) { } 
C)  $\{ - 3 , - 26,10,30 , - 14,9 , - 9,6 \}$ 
D)  $\{ 10 \}$ 
A)  $\{ 10 , - 14 \}$ 
B) { } 
C)  $\{ - 3 , - 26,10,30 , - 14,9 , - 9,6 \}$ 
D)  $\{ 10 \}$

Question 8

Solve the absolute value inequality. Write the solution in interval notation. $$4 - | x - 12 | < 4$$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $\{ 12 \}$ 
C) {  } 
D)  $( - \infty , 12 ) \cup ( 12 , \infty )$ 
A)  $( - \infty , \infty )$ 
B)  $\{ 12 \}$ 
C) {  } 
D)  $( - \infty , 12 ) \cup ( 12 , \infty )$

Question 9

Solve for the indicated variable. $9 x + 6 y = - 3$ for $y$

Accepted Answer

A)  $y = \frac { 3 } { 2 } x - 3$ 
B)  $y = \frac { 3 } { 2 } x - \frac { 1 } { 2 }$ 
C)  $y = - \frac { 3 } { 2 } x - 3$ 
D)  $y = - \frac { 3 } { 2 } x - \frac { 1 } { 2 }$ 
A)  $y = \frac { 3 } { 2 } x - 3$ 
B)  $y = \frac { 3 } { 2 } x - \frac { 1 } { 2 }$ 
C)  $y = - \frac { 3 } { 2 } x - 3$ 
D)  $y = - \frac { 3 } { 2 } x - \frac { 1 } { 2 }$

Question 10

Let $X = \{ x \mid x > 7 \}$ and $Y = \{ x \mid x \leq - 8 \}$. Determine the given union. Express the answer in interval notal $X \cup Y$

Accepted Answer

A)  $( - \infty , - 8 ] \cup ( 7 , \infty )$ 
B)  $[ - 8,7 )$ 
C)  $( - 8,7 ]$ 
D) {  } . 
A)  $( - \infty , - 8 ] \cup ( 7 , \infty )$ 
B)  $[ - 8,7 )$ 
C)  $( - 8,7 ]$ 
D) {  } .

Question 11

In order to ride certain amusement park rides, riders must be at least 44" tall, but no more than 83" tall. Let h represent the height of a prospective rider. Write an inequality that represents the Allowable heights.

Accepted Answer

A)  $h \leq 44$ or $h \geq 83$ 
B)  $h \leq 83$ or $h \geq 44$ 
C)  $h \leq 44$ and $h \geq 83$ 
D)  $h \leq 83$ and $h \geq 44$ 
A)  $h \leq 44$ or $h \geq 83$ 
B)  $h \leq 83$ or $h \geq 44$ 
C)  $h \leq 44$ and $h \geq 83$ 
D)  $h \leq 83$ and $h \geq 44$

Question 12

The length of a rectangular plot of land is 3 times the width. If the perimeter is 1500 feet, find the dimensions of the plot. Round your answer to the nearest tenth, if necessary.

Accepted Answer

A)  750 ft × 2250 ft 
B)  187.5 ft × 562.5 ft 
C)  375 ft × 1125 ft 
D)  100 ft × 300 ft 
A)  750 ft × 2250 ft 
B)  187.5 ft × 562.5 ft 
C)  375 ft × 1125 ft 
D)  100 ft × 300 ft

Question 13

Solve the absolute value equation. $$| x + 1 | = | - x - 1 |$$

Accepted Answer

A)  $\{ 0 \}$ 
B)  $\{ x \mid x$ is a real number $\}$ 
C) {  } 
D)  $\{ - 1,1 \}$ 
A)  $\{ 0 \}$ 
B)  $\{ x \mid x$ is a real number $\}$ 
C) {  } 
D)  $\{ - 1,1 \}$

Question 14

One fruit punch has 45% fruit juice and another is 90% fruit juice. How much of the 45% punch should be mixed with 10 gal of the 90% punch to create a fruit punch that is 50% fruit juice?

Accepted Answer

A)  85 gal 
B)  75 gal 
C)  70 gal 
D)  80 gal 
A)  85 gal 
B)  75 gal 
C)  70 gal 
D)  80 gal

Question 15

Which of the following is a linear equation?

Accepted Answer

A)  $\sqrt { x } + 14 = 15 x$ 
B)  $3 x ^ { 2 } + 10 x = 5$ 
C)  $\frac { 10 } { 3 x } - 3 = \frac { 7 } { x } + 15 x$ 
D)  $\frac { 10 } { 3 } x - 3 = 7 x + 15$ 
A)  $\sqrt { x } + 14 = 15 x$ 
B)  $3 x ^ { 2 } + 10 x = 5$ 
C)  $\frac { 10 } { 3 x } - 3 = \frac { 7 } { x } + 15 x$ 
D)  $\frac { 10 } { 3 } x - 3 = 7 x + 15$

Question 16

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $4 - \left| \frac { 5 } { 3 } y + 4 \right| > \frac { 2 } { 5 }$

Accepted Answer

A) 
 
$\left( - \frac { 114 } { 25 } , - \frac { 6 } { 25 } \right)$ 
B) 
 
{ } 
C) 
 
$\left( - \frac { 12 } { 5 } , \frac { 18 } { 5 } \right)$ 
D) 
 
$\left( - \infty , - \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 25 } , \infty \right)$ 
A) 
 
$\left( - \frac { 114 } { 25 } , - \frac { 6 } { 25 } \right)$ 
B) 
 
{ } 
C) 
 
$\left( - \frac { 12 } { 5 } , \frac { 18 } { 5 } \right)$ 
D) 
 
$\left( - \infty , - \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 25 } , \infty \right)$

Question 17

Solve the inequality. Write the answer in interval notation. $$- 2 \leq 2 x - 1 < 4$$

Accepted Answer

A)  $\left[ - \frac { 1 } { 2 } , 4 \right]$ 
B)  $\left[ - \frac { 1 } { 2 } , \infty \right]$ 
C)  $\left[ - 2 , \frac { 5 } { 2 } \right]$ 
D)  $\left[ - \frac { 1 } { 2 } , \frac { 5 } { 2 } \right]$ 
A)  $\left[ - \frac { 1 } { 2 } , 4 \right]$ 
B)  $\left[ - \frac { 1 } { 2 } , \infty \right]$ 
C)  $\left[ - 2 , \frac { 5 } { 2 } \right]$ 
D)  $\left[ - \frac { 1 } { 2 } , \frac { 5 } { 2 } \right]$

Question 18

If $15,000 is borrowed at 5.4% simple interest for 10 years, how much interest will be paid for the
loan?

Accepted Answer

The answer of If $15,000 is borrowed at 5.4% simple...

Question 19

Is the equation conditional, an identity, or a contradiction? 22y + 2(3 - y) = 5 + 20y + 2

Accepted Answer

A)  Contradiction 
B)  Conditional 
C)  Identity 
A)  Contradiction 
B)  Conditional 
C)  Identity

Question 20

Solve the inequality. Graph the solution set and write the solution set in interval notation. $$- 5 - 6 ( 2 x + 1 ) < x - ( - 5 - x )$$

Accepted Answer

A) 
 
$\left[ - \frac { 8 } { 7 } , \infty \right)$ 
B) 
 
$\left( - \frac { 8 } { 7 } , \infty \right)$ 
C) 
 
$( - \infty , - 5 )$ 
D) 
 
$\left( - \infty , - \frac { 8 } { 7 } \right)$ 
A) 
 
$\left[ - \frac { 8 } { 7 } , \infty \right)$ 
B) 
 
$\left( - \frac { 8 } { 7 } , \infty \right)$ 
C) 
 
$( - \infty , - 5 )$ 
D) 
 
$\left( - \infty , - \frac { 8 } { 7 } \right)$

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

Solve the equation: -3x + 8 = 7.

Solve the inequality. Write the solution set in interval notation using fractions. $0.21 n - 3 \leq - 0.1 ( - 5 - n )$

Solve the absolute value inequality. Write the solution in interval notation. $2 + | 2 m - 8 | < 2$

Solve the inequality and graph the solution. Write the answer in interval notation. $- 5 \leq 3 x - 8 \leq - 2$

Solve for the indicated variable. $L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }$ for $T$

Given $A = \{ - 3 , - 26,10,30 , - 14,9 \}$ and $B = \{ - 9,6,10 , - 14 \}$ , list the elements of $A \cap B$ .

Solve the absolute value inequality. Write the solution in interval notation. $4 - | x - 12 | < 4$

Solve for the indicated variable. $9 x + 6 y = - 3$ for $y$

Let $X = \{ x \mid x > 7 \}$ and $Y = \{ x \mid x \leq - 8 \}$ . Determine the given union. Express the answer in interval notal $X \cup Y$

In order to ride certain amusement park rides, riders must be at least 44" tall, but no more than 83" tall. Let h represent the height of a prospective rider. Write an inequality that represents the Allowable heights.

The length of a rectangular plot of land is 3 times the width. If the perimeter is 1500 feet, find the dimensions of the plot. Round your answer to the nearest tenth, if necessary.

Solve the absolute value equation. $| x + 1 | = | - x - 1 |$

One fruit punch has 45% fruit juice and another is 90% fruit juice. How much of the 45% punch should be mixed with 10 gal of the 90% punch to create a fruit punch that is 50% fruit juice?

Which of the following is a linear equation?

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $4 - \left| \frac { 5 } { 3 } y + 4 \right| > \frac { 2 } { 5 }$

Solve the inequality. Write the answer in interval notation. $- 2 \leq 2 x - 1 < 4$

If $15,000 is borrowed at 5.4% simple interest for 10 years, how much interest will be paid for the loan?

Is the equation conditional, an identity, or a contradiction? 22y + 2(3 - y) = 5 + 20y + 2

Solve the inequality. Graph the solution set and write the solution set in interval notation. $- 5 - 6 ( 2 x + 1 ) < x - ( - 5 - x )$

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

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Exam 1: Linear Equations and Inequalities in One Variable

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

Solve the equation: -3x + 8 = 7.

Solve the inequality. Write the solution set in interval notation using fractions. 0.21n−3≤−0.1(−5−n)0.21 n - 3 \leq - 0.1 ( - 5 - n )0.21n−3≤−0.1(−5−n)

Solve the absolute value inequality. Write the solution in interval notation. 2+∣2m−8∣<22 + | 2 m - 8 | < 22+∣2m−8∣<2

Solve the inequality and graph the solution. Write the answer in interval notation. −5≤3x−8≤−2- 5 \leq 3 x - 8 \leq - 2−5≤3x−8≤−2

Solve for the indicated variable. L=α(T−T0)+L0L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }L=α(T−T0​)+L0​ for TTT

Given A={−3,−26,10,30,−14,9}A = \{ - 3 , - 26,10,30 , - 14,9 \}A={−3,−26,10,30,−14,9} and B={−9,6,10,−14}B = \{ - 9,6,10 , - 14 \}B={−9,6,10,−14} , list the elements of A∩BA \cap BA∩B .

Solve the absolute value inequality. Write the solution in interval notation. 4−∣x−12∣<44 - | x - 12 | < 44−∣x−12∣<4

Solve for the indicated variable. 9x+6y=−39 x + 6 y = - 39x+6y=−3 for yyy

Let X={x∣x>7}X = \{ x \mid x > 7 \}X={x∣x>7} and Y={x∣x≤−8}Y = \{ x \mid x \leq - 8 \}Y={x∣x≤−8} . Determine the given union. Express the answer in interval notal X∪YX \cup YX∪Y

In order to ride certain amusement park rides, riders must be at least 44" tall, but no more than 83" tall. Let h represent the height of a prospective rider. Write an inequality that represents the Allowable heights.

The length of a rectangular plot of land is 3 times the width. If the perimeter is 1500 feet, find the dimensions of the plot. Round your answer to the nearest tenth, if necessary.

Solve the absolute value equation. ∣x+1∣=∣−x−1∣| x + 1 | = | - x - 1 |∣x+1∣=∣−x−1∣

One fruit punch has 45% fruit juice and another is 90% fruit juice. How much of the 45% punch should be mixed with 10 gal of the 90% punch to create a fruit punch that is 50% fruit juice?

Which of the following is a linear equation?

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. 4−∣53y+4∣>254 - \left| \frac { 5 } { 3 } y + 4 \right| > \frac { 2 } { 5 }4−​35​y+4​>52​

Solve the inequality. Write the answer in interval notation. −2≤2x−1<4- 2 \leq 2 x - 1 < 4−2≤2x−1<4

If $15,000 is borrowed at 5.4% simple interest for 10 years, how much interest will be paid for the loan?

Is the equation conditional, an identity, or a contradiction? 22y + 2(3 - y) = 5 + 20y + 2

Solve the inequality. Graph the solution set and write the solution set in interval notation. −5−6(2x+1)<x−(−5−x)- 5 - 6 ( 2 x + 1 ) < x - ( - 5 - x )−5−6(2x+1)<x−(−5−x)

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 using fractions. $0.21 n - 3 \leq - 0.1 ( - 5 - n )$

Solve the absolute value inequality. Write the solution in interval notation. $2 + | 2 m - 8 | < 2$

Solve the inequality and graph the solution. Write the answer in interval notation. $- 5 \leq 3 x - 8 \leq - 2$

Solve for the indicated variable. $L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }$ for $T$

Given $A = \{ - 3 , - 26,10,30 , - 14,9 \}$ and $B = \{ - 9,6,10 , - 14 \}$ , list the elements of $A \cap B$ .

Solve the absolute value inequality. Write the solution in interval notation. $4 - | x - 12 | < 4$

Solve for the indicated variable. $9 x + 6 y = - 3$ for $y$

Let $X = \{ x \mid x > 7 \}$ and $Y = \{ x \mid x \leq - 8 \}$ . Determine the given union. Express the answer in interval notal $X \cup Y$

Solve the absolute value equation. $| x + 1 | = | - x - 1 |$

Solve the absolute value inequality. Graph the solution set and write the solution in interval notation. $4 - \left| \frac { 5 } { 3 } y + 4 \right| > \frac { 2 } { 5 }$

Solve the inequality. Write the answer in interval notation. $- 2 \leq 2 x - 1 < 4$

Solve the inequality. Graph the solution set and write the solution set in interval notation. $- 5 - 6 ( 2 x + 1 ) < x - ( - 5 - x )$