Question 1

Solve the equation. Express radicals in simplest form.
-(x - 6)2 = 40

Accepted Answer

A)  ± 2   
B)  { ± 6   
C)  6 ± 2   
D)  6 ± 2   
A)  ± 2   
B)  { ± 6   
C)  6 ± 2   
D)  6 ± 2   D

Question 2

Choose the one alternative that best completes the statement or answers the question. 
 
Solve the equation by the zero-factor property.
-4    + 5 = 789

Accepted Answer

A)  {-14, 14} 
B)  { 14} 
C)  { 394.5} 
D)  {-15, 15} 
A)  {-14, 14} 
B)  { 14} 
C)  { 394.5} 
D)  {-15, 15} A

Question 3

Decide whether the statement is true or false. If it is false, tell why.
-If k is a prime number, then x2 = k will have two rational solutions.

Accepted Answer

A)  False; the equation will have no real number solutions. 
B)  False; the solutions will be irrational because a prime number cannot be a perfect square. 
C)  True 
A)  False; the equation will have no real number solutions. 
B)  False; the solutions will be irrational because a prime number cannot be a perfect square. 
C)  True B

Question 4

Decide whether the statement is true or false. If it is false, tell why.
-If k is a positive integer, then x2 = k will have one rational and one irrational solution.

Accepted Answer

A)  False; there will be either two rational solutions or two irrational solutions. 
B)  False; there will always be two rational solutions. 
C)  True 
A)  False; there will be either two rational solutions or two irrational solutions. 
B)  False; there will always be two rational solutions. 
C)  True

Question 5

Answer the question.
-If the trinomial ax2 + bx + c is a perfect square, what can we conclude about the solutions of the equation

Accepted Answer

A)  The equation has two different rational solutions. 
B)  The equation has no real number solutions. 
C)  The equation has exactly one irrational solution. 
D)  The equation has exactly one rational solution. 
A)  The equation has two different rational solutions. 
B)  The equation has no real number solutions. 
C)  The equation has exactly one irrational solution. 
D)  The equation has exactly one rational solution.

Question 6

Solve the equation. Express radicals in simplest form.
-5   + 2 =   y

Accepted Answer

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

Question 7

Solve the problem.
-A ball is thrown downward from a window in a tall building. After t seconds, its distance from the window (in feet) is given by   . How long will it take the ball to fall   ? Round your answer to the nearest tenth of a second.

Accepted Answer

A)  2.9 sec 
B)  1.5 sec 
C)  1.7 sec 
D)  2.5 sec 
A)  2.9 sec 
B)  1.5 sec 
C)  1.7 sec 
D)  2.5 sec

Question 8

Solve the equation by using the square root property. Simplify all radicals.
-  - 13 = 0

Accepted Answer

A)  ±   
B)    
C)  {±6.5} 
D)  { 169} 
A)  ±   
B)    
C)  {±6.5} 
D)  { 169}

Question 9

Solve the equation by completing the square.
-x2 + 8x = 3

Accepted Answer

A)  { 4 +   } 
B)  {-1 ±   } 
C)  {-4 ± 2   } 
D)  {-4 ±   } 
A)  { 4 +   } 
B)  {-1 ±   } 
C)  {-4 ± 2   } 
D)  {-4 ±   }

Question 10

Solve the equation by completing the square.
-16d2 + 32d + 15 = 0

Accepted Answer

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

Question 11

Use the quadratic formula to solve the equation. Simplify any radicals.
-2   - 2x + 7 = 9x + 5

Accepted Answer

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

Question 12

Solve the equation by completing the square.
-  + 4x - 1 = 0

Accepted Answer

A)  { 3} 
B)  { 2 ±   } 
C)  {   ± 2} 
D)  { -2 ±   } 
A)  { 3} 
B)  { 2 ±   } 
C)  {   ± 2} 
D)  { -2 ±   }

Question 13

Use the quadratic formula to solve the equation. Simplify any radicals.
-2   = 3x - 9

Accepted Answer

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

Question 14

Use the quadratic formula to solve the equation. Simplify any radicals.
-6m2 - 6m = 0

Accepted Answer

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

Question 15

Solve the problem
-A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The height, s (in feet), of the ball after t seconds is given by   After how many seconds does the ball strike the ground?

Accepted Answer

A)  11 sec 
B)  145 sec 
C)  8 sec 
D)  9 sec 
A)  11 sec 
B)  145 sec 
C)  8 sec 
D)  9 sec

Question 16

Solve the equation by using the square root property. Simplify all radicals.
-7   = 2

Accepted Answer

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

Question 17

Identify the vertex and sketch the graph of the equation.
-y =   - 4x - 3

Accepted Answer

A)  vertex: ( -2, 1)
  
B)  vertex: (-0.5, 3.25)
  
C)  vertex: ( 2, 1)
  
D)  vertex: ( -2, -1)
  
A)  vertex: ( -2, 1)
  
B)  vertex: (-0.5, 3.25)
  
C)  vertex: ( 2, 1)
  
D)  vertex: ( -2, -1)

Question 18

Answer the question.
-If we apply the quadratic formula and find that the value of   equals zero, what can we conclude about the solutions?

Accepted Answer

A)  The equation has exactly one rational solution. 
B)  The equation has no real number solutions. 
C)  The equation has two different rational solutions. 
D)  The equation has exactly one irrational solution. 
A)  The equation has exactly one rational solution. 
B)  The equation has no real number solutions. 
C)  The equation has two different rational solutions. 
D)  The equation has exactly one irrational solution.

Question 19

Solve by the quadratic formula.
-8   + 3x + 6 = 0

Accepted Answer

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

Question 20

Solve the equation. Express radicals in simplest form.
-(t + 4)2 = -14

Accepted Answer

A)  {-4 +   , -4 -   } 
B)  { 10} 
C)  { 4 +   , 4 -   } 
D)    
A)  {-4 +   , -4 -   } 
B)  { 10} 
C)  { 4 +   , 4 -   } 
D)

Solve the equation. Express radicals in simplest form. -(x - 6)² = 40

Choose the one alternative that best completes the statement or answers the question. Solve the equation by the zero-factor property. -4 + 5 = 789

Decide whether the statement is true or false. If it is false, tell why. -If k is a prime number, then x² = k will have two rational solutions.

Decide whether the statement is true or false. If it is false, tell why. -If k is a positive integer, then x² = k will have one rational and one irrational solution.

Answer the question. -If the trinomial ax² + bx + c is a perfect square, what can we conclude about the solutions of the equation

Solve the equation. Express radicals in simplest form. -5 + 2 = y

Solve the problem. -A ball is thrown downward from a window in a tall building. After t seconds, its distance from the window (in feet) is given by . How long will it take the ball to fall ? Round your answer to the nearest tenth of a second.

Solve the equation by using the square root property. Simplify all radicals. - - 13 = 0

Solve the equation by completing the square. -x² + 8x = 3

Solve the equation by completing the square. -16d² + 32d + 15 = 0

Use the quadratic formula to solve the equation. Simplify any radicals. -2 - 2x + 7 = 9x + 5

Solve the equation by completing the square. - + 4x - 1 = 0

Use the quadratic formula to solve the equation. Simplify any radicals. -2 = 3x - 9

Use the quadratic formula to solve the equation. Simplify any radicals. -6m² - 6m = 0

Solve the problem -A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The height, s (in feet), of the ball after t seconds is given by After how many seconds does the ball strike the ground?

Solve the equation by using the square root property. Simplify all radicals. -7 = 2

Identify the vertex and sketch the graph of the equation. -y = - 4x - 3

Answer the question. -If we apply the quadratic formula and find that the value of equals zero, what can we conclude about the solutions?

Solve by the quadratic formula. -8 + 3x + 6 = 0

Solve the equation. Express radicals in simplest form. -(t + 4)² = -14

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Filters

Exam 10: Preparing for Your Math Final

Solve the equation. Express radicals in simplest form. -(x - 6)2 = 40

Choose the one alternative that best completes the statement or answers the question. Solve the equation by the zero-factor property. -4 + 5 = 789

Decide whether the statement is true or false. If it is false, tell why. -If k is a prime number, then x2 = k will have two rational solutions.

Decide whether the statement is true or false. If it is false, tell why. -If k is a positive integer, then x2 = k will have one rational and one irrational solution.

Answer the question. -If the trinomial ax2 + bx + c is a perfect square, what can we conclude about the solutions of the equation

Solve the equation. Express radicals in simplest form. -5 + 2 = y

Solve the problem. -A ball is thrown downward from a window in a tall building. After t seconds, its distance from the window (in feet) is given by . How long will it take the ball to fall ? Round your answer to the nearest tenth of a second.

Solve the equation by using the square root property. Simplify all radicals. - - 13 = 0

Solve the equation by completing the square. -x2 + 8x = 3

Solve the equation by completing the square. -16d2 + 32d + 15 = 0

Use the quadratic formula to solve the equation. Simplify any radicals. -2 - 2x + 7 = 9x + 5

Solve the equation by completing the square. - + 4x - 1 = 0

Use the quadratic formula to solve the equation. Simplify any radicals. -2 = 3x - 9

Use the quadratic formula to solve the equation. Simplify any radicals. -6m2 - 6m = 0

Solve the problem -A ball is thrown vertically upward from the top of a building 144 feet tall with an initial velocity of 128 feet per second. The height, s (in feet), of the ball after t seconds is given by After how many seconds does the ball strike the ground?

Solve the equation by using the square root property. Simplify all radicals. -7 = 2

Identify the vertex and sketch the graph of the equation. -y = - 4x - 3

Answer the question. -If we apply the quadratic formula and find that the value of equals zero, what can we conclude about the solutions?

Solve by the quadratic formula. -8 + 3x + 6 = 0

Solve the equation. Express radicals in simplest form. -(t + 4)2 = -14

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Rational Expressions and Applications

Roots and Radicals

Quadratic Equations

Filters

Solve the equation. Express radicals in simplest form. -(x - 6)² = 40

Decide whether the statement is true or false. If it is false, tell why. -If k is a prime number, then x² = k will have two rational solutions.

Decide whether the statement is true or false. If it is false, tell why. -If k is a positive integer, then x² = k will have one rational and one irrational solution.

Answer the question. -If the trinomial ax² + bx + c is a perfect square, what can we conclude about the solutions of the equation

Solve the equation by completing the square. -x² + 8x = 3

Solve the equation by completing the square. -16d² + 32d + 15 = 0

Use the quadratic formula to solve the equation. Simplify any radicals. -6m² - 6m = 0

Solve the equation. Express radicals in simplest form. -(t + 4)² = -14