Question 1

Solve the inequality. Then write the solution set in set notation, number line notation, and interval notation.
9n - 3 ? 3n + 51

Accepted Answer

The answer of Solve the inequality. Then write the solution...

Question 2

Determine the domain for the expression. Write your answer in interval notation.

Accepted Answer

A)  y $\in$ (-?, -4) $\cup$ (-4, ?) 
B)  y $\in$ (-?, 4] 
C)  y $\in$ [4, ?) 
D)  y $\in$ (-?, -4]

Question 3

Use the following to answer questions : 
-Express the compound inequality in interval notation.

Accepted Answer

A)  [-1, 2) 
B)  (-1, 2] 
C)  (-?, -1) $\cup$ [2, ?) 
D)  (-?, -1] $\cup$ (2, ?)

Question 4

Write the complex number in the standard form a + bi.

Accepted Answer

A)  1 + i 
B)  1 - i 
C)  1 + 16i 
D)  1 - 16i

Question 5

Solve by completing the square. Write your answer in exact form. 4x² + 2x - 3 = 0

Accepted Answer

The answer of Solve by completing the square. Write your...

Question 6

Determine whether the equation is quadratic. If so, identify the coefficients a, b, and c. 5 = -2x2

Accepted Answer

A)  a = 0, b = 5, c = -2 
B)  a = 2, b = 5, c = 0 
C)  a = 2, b = 0, c = 5 
D)  not quadratic

Question 7

Solve. 5 - 4(3x - 2) = 2 + 3(2x - 5)

Accepted Answer

A)   
B)   
C)   
D)

Question 8

The following equation is given in ax + b = c form. Solve by identifying the value of a, b, and c, then using the formula  . 3x - 4 = -34

Accepted Answer

A)  a = 3; b = 4; c = -34; x = -10 
B)  a = 3; b = -4; c = -34; x = -10 
C)  a = 3; b = 4; c = -34; x = 10 
D)  a = 3; b = -4; c = -34; x = 10

Question 9

Divide and write your answer in a + bi form.

Accepted Answer

The answer of Divide and write your answer in a...

Question 10

Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -72x = x3 + 17x2

Accepted Answer

A)  x = 8, x = 9, x = 0 
B)  x = -8, x = 9, x = 0 
C)  x = 8, x = -9, x = 0 
D)  x = -8, x = -9, x = 0

Question 11

Solve. 0.2(5 - 2.4x) - 3.4 = 0

Accepted Answer

The answer of Solve. 0.2(5 - 2.4x) - 3.4 =...

Question 12

Simplify using powers of i. i45

Accepted Answer

A)  1 
B)  -1 
C)  i 
D)  -i

Question 13

Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9 < 15

Accepted Answer

A)  (-$\infty$, -15) $\cup$ (1, $\infty$) 
B)  (-$\infty$, -9) $\cup$ (-5, $\infty$) 
C)  (-15, 1) 
D)  (-9, -5)

Question 14

The length of a garden is 5 ft less than twice its width. The area of the garden is 88 ft². Find the length and width of the garden.

Accepted Answer

The answer of The length of a garden is 5...

Question 15

Solve.

Accepted Answer

The answer of Solve. ...

Question 16

Use the following to answer questions : 
-Express the compound inequality graphically.

Accepted Answer

A)  
3 9 
B)  
3 9 
C)  
3 9 
D)  no solution

Question 17

Identify the equation as linear or nonlinear. If nonlinear, state why. Do not solve.

Accepted Answer

The answer of Identify the equation as linear or nonlinear....

Question 18

Compute the special product and write your answer in a + bi form. (5 + 6i)²

Accepted Answer

The answer of Compute the special product and write your...

Question 19

Solve the absolute value equation. Write the solution in set notation. -2|x - 9| + 10 = 2

Accepted Answer

A)  {3, 15} 
B)  {5, 13} 
C)  {0, 18} 
D)  {-2, 20}

Question 20

Solve  for z.

Accepted Answer

The answer of Solve  for z....

Exam 1: Equations and Inequalities

Solve the inequality. Then write the solution set in set notation, number line notation, and interval notation. 9n - 3 ? 3n + 51

Determine the domain for the expression. Write your answer in interval notation. $Determine the domain for the expression. Write your answer in interval notation. A) y \in (-?, -4) \cup (-4, ?) B) y \in (-?, 4] C) y \in [4, ?) D) y \in (-?, -4]$

Use the following to answer questions : $Use the following to answer questions : -Express the compound inequality in interval notation. A) [-1, 2) B) (-1, 2] C) (-?, -1) \cup [2, ?) D) (-?, -1] \cup (2, ?)$ -Express the compound inequality in interval notation.

Write the complex number in the standard form a + bi.

Solve by completing the square. Write your answer in exact form. 4x² + 2x - 3 = 0

Determine whether the equation is quadratic. If so, identify the coefficients a, b, and c. 5 = -2x²

Solve. 5 - 4(3x - 2) = 2 + 3(2x - 5)

The following equation is given in ax + b = c form. Solve by identifying the value of a, b, and c, then using the formula . 3x - 4 = -34

Divide and write your answer in a + bi form.

Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -72x = x³ + 17x²

Solve. 0.2(5 - 2.4x) - 3.4 = 0

Simplify using powers of i. i⁴⁵

Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9 < 15

The length of a garden is 5 ft less than twice its width. The area of the garden is 88 ft². Find the length and width of the garden.

Solve.

Use the following to answer questions : -Express the compound inequality graphically.

Identify the equation as linear or nonlinear. If nonlinear, state why. Do not solve.

Compute the special product and write your answer in a + bi form. (5 + 6i)²

Solve the absolute value equation. Write the solution in set notation. -2|x - 9| + 10 = 2

Solve for z.

Exam 1: Equations and Inequalities

Solve the inequality. Then write the solution set in set notation, number line notation, and interval notation. 9n - 3 ? 3n + 51

Determine the domain for the expression. Write your answer in interval notation.

Use the following to answer questions : -Express the compound inequality in interval notation.

Write the complex number in the standard form a + bi.

Solve by completing the square. Write your answer in exact form. 4x2 + 2x - 3 = 0

Determine whether the equation is quadratic. If so, identify the coefficients a, b, and c. 5 = -2x2

Solve. 5 - 4(3x - 2) = 2 + 3(2x - 5)

The following equation is given in ax + b = c form. Solve by identifying the value of a, b, and c, then using the formula . 3x - 4 = -34

Divide and write your answer in a + bi form.

Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -72x = x3 + 17x2

Solve. 0.2(5 - 2.4x) - 3.4 = 0

Simplify using powers of i. i45

Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9 < 15

The length of a garden is 5 ft less than twice its width. The area of the garden is 88 ft2. Find the length and width of the garden.

Solve.

Use the following to answer questions : -Express the compound inequality graphically.

Identify the equation as linear or nonlinear. If nonlinear, state why. Do not solve.

Compute the special product and write your answer in a + bi form. (5 + 6i)2

Solve the absolute value equation. Write the solution in set notation. -2|x - 9| + 10 = 2

Solve for z.

Determine the domain for the expression. Write your answer in interval notation. $Determine the domain for the expression. Write your answer in interval notation. A) y \in (-?, -4) \cup (-4, ?) B) y \in (-?, 4] C) y \in [4, ?) D) y \in (-?, -4]$

Use the following to answer questions : $Use the following to answer questions : -Express the compound inequality in interval notation. A) [-1, 2) B) (-1, 2] C) (-?, -1) \cup [2, ?) D) (-?, -1] \cup (2, ?)$ -Express the compound inequality in interval notation.

Solve by completing the square. Write your answer in exact form. 4x² + 2x - 3 = 0

Determine whether the equation is quadratic. If so, identify the coefficients a, b, and c. 5 = -2x²

Solve using the zero product property. Be sure each equation is in standard form and factor out any common factors before attempting to solve. Check all answers in the original equation. -72x = x³ + 17x²

Simplify using powers of i. i⁴⁵

The length of a garden is 5 ft less than twice its width. The area of the garden is 88 ft². Find the length and width of the garden.

Compute the special product and write your answer in a + bi form. (5 + 6i)²