Question 1

Identify the equation as an identity, a contradiction, or a conditional equation. If conditional, state the solution. -(9x - 18) + 6x = 20 - 2(x + 1)

Accepted Answer

A)  Identity 
B)  Contradiction 
C)  Conditional;   
D)  Conditional;   
A)  Identity 
B)  Contradiction 
C)  Conditional;   
D)  Conditional;

Question 2

Simplify the radical, if possible. If imaginary, rewrite in terms of i and simplify.

Accepted Answer

The answer of Simplify the radical, if possible. If imaginary,...

Question 3

Solve the quadratic equation. Simplify the result. 5x2 - 8x + 5 = 0

Accepted Answer

Question 4

Solve using the most efficient method. 4x2 - 19x - 5 = 0

Accepted Answer

Question 5

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

Accepted Answer

A)  x $\in$ (-?, -7) $\cup$ (-7, ?) 
B)  x $\in$ (-?, -7] 
C)  x $\in$ (7, ?) 
D)  x $\in$ [-7, ?) 
A)  x $\in$ (-?, -7) $\cup$ (-7, ?) 
B)  x $\in$ (-?, -7] 
C)  x $\in$ (7, ?) 
D)  x $\in$ [-7, ?)

Question 6

Compute the special product and write your answer in a + bi form. (3 - 2i)(3 + 2i)

Accepted Answer

A)  5 - 12i 
B)  13 + 12i 
C)  5 
D)  13 
A)  5 - 12i 
B)  13 + 12i 
C)  5 
D)  13

Question 7

Solve the absolute value inequality. Write the solution in interval notation. 3|x + 1| + 9 ? 18

Accepted Answer

A)  (-$\infty$, -10] $\cup$ [8, $\infty$) 
B)  (-$\infty$, -4] $\cup$ [2, $\infty$) 
C)  [-10, 8] 
D)  [-4, 2] 
A)  (-$\infty$, -10] $\cup$ [8, $\infty$) 
B)  (-$\infty$, -4] $\cup$ [2, $\infty$) 
C)  [-10, 8] 
D)  [-4, 2]

Question 8

Solve.   - 5 =   - 1

Accepted Answer

The answer of Solve.   - 5 = ...

Question 9

Solve.

Accepted Answer

The answer of Solve.  ...

Question 10

Multiply and write your answer in a + bi form. 4i(1 + 3i)

Accepted Answer

A)  7i 
B)  -8i 
C)  -12 + 4i 
D)  12 + 4i 
A)  7i 
B)  -8i 
C)  -12 + 4i 
D)  12 + 4i

Question 11

Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x + 5)2 = 3

Accepted Answer

A)    
B)    
C)    
D)  no real solutions 
A)    
B)    
C)    
D)  no real solutions

Question 12

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x2 + 3 = 7x

Accepted Answer

A)  two irrational roots 
B)  two rational roots 
C)  one repeated root 
D)  two complex roots 
A)  two irrational roots 
B)  two rational roots 
C)  one repeated root 
D)  two complex roots

Question 13

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. -3x2 + 7x - 6 = 0

Accepted Answer

A)  two irrational roots 
B)  two rational roots 
C)  one repeated root 
D)  two complex roots 
A)  two irrational roots 
B)  two rational roots 
C)  one repeated root 
D)  two complex roots

Question 14

Use the following to answer questions :
Determine the intersection and union of sets A, B, and C as indicated, given
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
-Find A   C.

Accepted Answer

A)  { } 
B)  {10, 20} 
C)  {5, 15, 30, 40} 
D)  {5, 10, 15, 20, 30, 40} 
A)  { } 
B)  {10, 20} 
C)  {5, 15, 30, 40} 
D)  {5, 10, 15, 20, 30, 40}

Question 15

Multiply and write your answer in a + bi form.
(5 - i)(4 + 3i)

Accepted Answer

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

Question 16

Use the following to answer questions :
Determine the intersection and union of sets A, B, and C as indicated, given
A = {5, 10, 15, 20}
B = {25, 30, 35, 40}
C = {10, 20, 30, 40}.
-Find A   B.

Accepted Answer

A)  { } 
B)  {10, 15} 
C)  {5, 10, 35, 40} 
D)  {5, 10, 15, 20, 25, 30, 35, 40} 
A)  { } 
B)  {10, 15} 
C)  {5, 10, 35, 40} 
D)  {5, 10, 15, 20, 25, 30, 35, 40}

Question 17

A consultant traveled 450 miles to attend a meeting, traveling 50 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 8 hours, how far did the consultant travel at the faster speed?

Accepted Answer

The answer of A consultant traveled 450 miles to attend...

Question 18

Solve using the square root property of equality. If there are no real solutions, so state.
(x + 4)2 = 81

Accepted Answer

Question 19

Divide and write your answer in a + bi form. Check your answer using multiplication.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 20

Solve the compound inequality and graph the solution set. -2x - 10 ≤ 2 and 3x < 0

Accepted Answer

A)   
-6 0 
B)   
-6 0 
C)   
-6 
D)   
0 
A)   
-6 0 
B)   
-6 0 
C)   
-6 
D)   
0

Identify the equation as an identity, a contradiction, or a conditional equation. If conditional, state the solution. -(9x - 18) + 6x = 20 - 2(x + 1)

Simplify the radical, if possible. If imaginary, rewrite in terms of i and simplify.

Solve the quadratic equation. Simplify the result. 5x² - 8x + 5 = 0

Solve using the most efficient method. 4x² - 19x - 5 = 0

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

Compute the special product and write your answer in a + bi form. (3 - 2i)(3 + 2i)

Solve the absolute value inequality. Write the solution in interval notation. 3|x + 1| + 9 ? 18

Solve. - 5 = - 1

Solve.

Multiply and write your answer in a + bi form. 4i(1 + 3i)

Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x + 5)² = 3

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x² + 3 = 7x

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. -3x² + 7x - 6 = 0

Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A C.

Multiply and write your answer in a + bi form. (5 - i)(4 + 3i)

Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A B.

A consultant traveled 450 miles to attend a meeting, traveling 50 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 8 hours, how far did the consultant travel at the faster speed?

Solve using the square root property of equality. If there are no real solutions, so state. (x + 4)² = 81

Divide and write your answer in a + bi form. Check your answer using multiplication.

Solve the compound inequality and graph the solution set. -2x - 10 ≤ 2 and 3x < 0

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 1: Equations and Inequalities

Identify the equation as an identity, a contradiction, or a conditional equation. If conditional, state the solution. -(9x - 18) + 6x = 20 - 2(x + 1)

Simplify the radical, if possible. If imaginary, rewrite in terms of i and simplify.

Solve the quadratic equation. Simplify the result. 5x2 - 8x + 5 = 0

Solve using the most efficient method. 4x2 - 19x - 5 = 0

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

Compute the special product and write your answer in a + bi form. (3 - 2i)(3 + 2i)

Solve the absolute value inequality. Write the solution in interval notation. 3|x + 1| + 9 ? 18

Solve. - 5 = - 1

Solve.

Multiply and write your answer in a + bi form. 4i(1 + 3i)

Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x + 5)2 = 3

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x2 + 3 = 7x

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. -3x2 + 7x - 6 = 0

Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A C.

Multiply and write your answer in a + bi form. (5 - i)(4 + 3i)

Use the following to answer questions : Determine the intersection and union of sets A, B, and C as indicated, given A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. -Find A B.

A consultant traveled 450 miles to attend a meeting, traveling 50 mph hours for the first part of the trip, then increasing to a speed of 60 mph for the second part. If the entire trip took 8 hours, how far did the consultant travel at the faster speed?

Solve using the square root property of equality. If there are no real solutions, so state. (x + 4)2 = 81

Divide and write your answer in a + bi form. Check your answer using multiplication.

Solve the compound inequality and graph the solution set. -2x - 10 ≤ 2 and 3x < 0

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Solve the quadratic equation. Simplify the result. 5x² - 8x + 5 = 0

Solve using the most efficient method. 4x² - 19x - 5 = 0

Solve using the square root property of equality. Write answers in exact form. If there are no real solutions, so state. (x + 5)² = 3

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x² + 3 = 7x

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. -3x² + 7x - 6 = 0

Solve using the square root property of equality. If there are no real solutions, so state. (x + 4)² = 81