Question 1

Perform the operation. Write the answer in a + bi form. $( 3 + 2 \sqrt { 2 } i ) + ( - 6 - \sqrt { 2 } i )$

Accepted Answer

A)  $- 3 - 2 \sqrt { 2 } i$ 
B)  $- 2 - \sqrt { 2 } i$ 
C)  $- 3 + \sqrt { 2 } i$ 
D)  $- 9 + 2 \sqrt { 2 } i$ 
A)  $- 3 - 2 \sqrt { 2 } i$ 
B)  $- 2 - \sqrt { 2 } i$ 
C)  $- 3 + \sqrt { 2 } i$ 
D)  $- 9 + 2 \sqrt { 2 } i$

Question 2

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. $5 x ^ { 2 } + x + 3 = 0$

Accepted Answer

A) rational, equal 
B) irrational, unequal 
C) irrational, equal 
D) nonreal complex numbers, complex conjugates 
E) rational, unequal 
A) rational, equal 
B) irrational, unequal 
C) irrational, equal 
D) nonreal complex numbers, complex conjugates 
E) rational, unequal

Question 3

Look at the graph of the equation $9 x ^ { 2 } - 42 x + 59$ . How many solutions does the equation have? What are they?

Accepted Answer

A) 3 solutions, $\frac { 7 } { 3 }$ , $- \frac { 7 } { 3 }$ , and 0 
B) no solutions 
C) 2 solutions, $\frac { 7 } { 3 }$ and $- \frac { 7 } { 3 }$ 
D) 1 repeated solution, $\frac { 7 } { 3 }$ 
A) 3 solutions, $\frac { 7 } { 3 }$ , $- \frac { 7 } { 3 }$ , and 0 
B) no solutions 
C) 2 solutions, $\frac { 7 } { 3 }$ and $- \frac { 7 } { 3 }$ 
D) 1 repeated solution, $\frac { 7 } { 3 }$

Question 4

Complete the square and factor the resulting perfect-square trinomial. $t ^ { 2 } + 8 t$

Accepted Answer

A) ( t + 16 ) $2$ 
B) ( t - 4 ) $2$ 
C) ( t + 4 ) $2$ 
D) ( t - 16 ) $2$ 
A) ( t + 16 ) $2$ 
B) ( t - 4 ) $2$ 
C) ( t + 4 ) $2$ 
D) ( t - 16 ) $2$

Question 5

The distance (in feet)that an object will fall in t seconds is given by the formula $s = 16 t ^ { 2 }$ . How long will it take an object to fall 784 feet?

Accepted Answer

A) 7 sec 
B) 49 sec 
C) 9 sec 
D) 6 sec 
E) 48 sec 
A) 7 sec 
B) 49 sec 
C) 9 sec 
D) 6 sec 
E) 48 sec

Question 6

What is the first step to solving x 2  $-$ 10 x = 56 by completing the square?

Accepted Answer

A) Add 25 to both sides. 
B) Add -25 to both sides 
C) Subtract 56 from both sides. 
D) Isolate x  2 . 
E) none of these 
A) Add 25 to both sides. 
B) Add -25 to both sides 
C) Subtract 56 from both sides. 
D) Isolate x  2 . 
E) none of these

Question 7

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

Accepted Answer

A) 13 feet by 19 feet 
B) 11 feet by 17 feet 
C) 10 feet by 16 feet 
D) 8 feet by 14 feet 
E) 12 feet by 18 feet 
A) 13 feet by 19 feet 
B) 11 feet by 17 feet 
C) 10 feet by 16 feet 
D) 8 feet by 14 feet 
E) 12 feet by 18 feet

Question 8

When a wholesaler sells n CD players, the revenue is $R = 140 n - \frac { 1 } { 2 } n ^ { 2 }$ . How many CD players would the wholesaler have to sell to receive $\$ 9,800$ ?

Accepted Answer

A)  $170$ CD players 
B)  $180$ CD players 
C)  $140$ CD players 
D)  $160$ CD players 
E)  $150$ CD players 
A)  $170$ CD players 
B)  $180$ CD players 
C)  $140$ CD players 
D)  $160$ CD players 
E)  $150$ CD players

Question 9

How many x -intercepts does the following parabola have?

Accepted Answer

A) 0 
B) 2 
C) 1 
A) 0 
B) 2 
C) 1

Question 10

Solve the quadratic equation. $( n - 9 ) ^ { 2 } = 3$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Accepted Answer

A)  $\sqrt { 3 } - 9$ , $- \sqrt { 3 } - 9$ 
B)  $\sqrt { 3 } + 9$ , $0$ 
C)  $\sqrt { 3 } + 9$ , $\sqrt { 3 } - 9$ 
D)  $18$ , $0$ 
E)  $\sqrt { 3 } + 9$ , $- \sqrt { 3 } + 9$ 
A)  $\sqrt { 3 } - 9$ , $- \sqrt { 3 } - 9$ 
B)  $\sqrt { 3 } + 9$ , $0$ 
C)  $\sqrt { 3 } + 9$ , $\sqrt { 3 } - 9$ 
D)  $18$ , $0$ 
E)  $\sqrt { 3 } + 9$ , $- \sqrt { 3 } + 9$

Question 11

Write the number $\sqrt { - 4.9 }$ in the form a + bi.

Accepted Answer

A) 4.9 + 0 i 
B) 0 + 4.9 i 
C) 4.9 
D) -4.9 i 
A) 4.9 + 0 i 
B) 0 + 4.9 i 
C) 4.9 
D) -4.9 i

Question 12

Use the square root method to solve the equation. $$x ^ { 2 } = 16$$

Accepted Answer

A)  $\pm 4$ 
B)  $1$ 
C)  $4$ 
D)  $- 1$ 
E)  $- 4$ 
A)  $\pm 4$ 
B)  $1$ 
C)  $4$ 
D)  $- 1$ 
E)  $- 4$

Question 13

Solve the equation by completing the square. $x ^ { 2 } - 8 x - 9 = 0$

Accepted Answer

A)  $x = - 2$ , $x = 9$ 
B)  $x = 8$ , $x = 9$ 
C)  $x = 1$ , $x = 9$ 
D)  $x = - 1$ , $x = 9$ 
E)  $x = - 8$ , $x = 2$ 
A)  $x = - 2$ , $x = 9$ 
B)  $x = 8$ , $x = 9$ 
C)  $x = 1$ , $x = 9$ 
D)  $x = - 1$ , $x = 9$ 
E)  $x = - 8$ , $x = 2$

Perform the operation. Write the answer in a + bi form. $( 3 + 2 \sqrt { 2 } i ) + ( - 6 - \sqrt { 2 } i )$

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. $5 x ^ { 2 } + x + 3 = 0$

$Look at the graph of the equation 9 x ^ { 2 } - 42 x + 59 . How many solutions does the equation have? What are they?$ Look at the graph of the equation $9 x ^ { 2 } - 42 x + 59$ . How many solutions does the equation have? What are they?

Complete the square and factor the resulting perfect-square trinomial. $t ^ { 2 } + 8 t$

The distance (in feet)that an object will fall in t seconds is given by the formula $s = 16 t ^ { 2 }$ . How long will it take an object to fall 784 feet?

What is the first step to solving x ² $-$ 10 x = 56 by completing the square?

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

When a wholesaler sells n CD players, the revenue is $R = 140 n - \frac { 1 } { 2 } n ^ { 2 }$ . How many CD players would the wholesaler have to sell to receive $\$ 9,800$ ?

How many x -intercepts does the following parabola have?

Solve the quadratic equation. $( n - 9 ) ^ { 2 } = 3$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Write the number $\sqrt { - 4.9 }$ in the form a + bi.

Use the square root method to solve the equation. $x ^ { 2 } = 16$

Solve the equation by completing the square. $x ^ { 2 } - 8 x - 9 = 0$

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Filters

Exam 9: Quadratic Equations

Perform the operation. Write the answer in a + bi form. (3+22i)+(−6−2i)( 3 + 2 \sqrt { 2 } i ) + ( - 6 - \sqrt { 2 } i )(3+22​i)+(−6−2​i)

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. 5x2+x+3=05 x ^ { 2 } + x + 3 = 05x2+x+3=0

Look at the graph of the equation 9x2−42x+599 x ^ { 2 } - 42 x + 599x2−42x+59 . How many solutions does the equation have? What are they?

Complete the square and factor the resulting perfect-square trinomial. t2+8tt ^ { 2 } + 8 tt2+8t

The distance (in feet)that an object will fall in t seconds is given by the formula s=16t2s = 16 t ^ { 2 }s=16t2 . How long will it take an object to fall 784 feet?

What is the first step to solving x 2 −-− 10 x = 56 by completing the square?

The area of a rectangular region is 187 square feet. If the length and width are each increased by 5 feet, the area is increased by 165 square feet. Find the length and width of the original rectangle.

When a wholesaler sells n CD players, the revenue is R=140n−12n2R = 140 n - \frac { 1 } { 2 } n ^ { 2 }R=140n−21​n2 . How many CD players would the wholesaler have to sell to receive $9,800\$ 9,800$9,800 ?

How many x -intercepts does the following parabola have?

Solve the quadratic equation. (n−9)2=3( n - 9 ) ^ { 2 } = 3(n−9)2=3 Use the following property: For any real number a , x2=ax ^ { 2 } = ax2=a if and only if x=ax = \sqrt { a }x=a​ or x=−ax = - \sqrt { a }x=−a​ .

Write the number −4.9\sqrt { - 4.9 }−4.9​ in the form a + bi.

Use the square root method to solve the equation. x2=16x ^ { 2 } = 16x2=16

Solve the equation by completing the square. x2−8x−9=0x ^ { 2 } - 8 x - 9 = 0x2−8x−9=0

An Introduction to Algebra

Equations, Inequalities, and Problem Solving

Graphs, Linear Equations, and Inequalities in Two Variables; Functions From Campus to Careers: Physical Therapis

Solving Systems of Equations and Inequalities

Exponents and Polynomials

Factoring and Quadratic Equations

Rational Expressions and Equations

Roots and Radicals

Filters

Perform the operation. Write the answer in a + bi form. $( 3 + 2 \sqrt { 2 } i ) + ( - 6 - \sqrt { 2 } i )$

Use the discriminant to determine what type of solutions exist for the quadratic equation. Do not solve the equation. $5 x ^ { 2 } + x + 3 = 0$

$Look at the graph of the equation 9 x ^ { 2 } - 42 x + 59 . How many solutions does the equation have? What are they?$ Look at the graph of the equation $9 x ^ { 2 } - 42 x + 59$ . How many solutions does the equation have? What are they?

Complete the square and factor the resulting perfect-square trinomial. $t ^ { 2 } + 8 t$

The distance (in feet)that an object will fall in t seconds is given by the formula $s = 16 t ^ { 2 }$ . How long will it take an object to fall 784 feet?

What is the first step to solving x ² $-$ 10 x = 56 by completing the square?

When a wholesaler sells n CD players, the revenue is $R = 140 n - \frac { 1 } { 2 } n ^ { 2 }$ . How many CD players would the wholesaler have to sell to receive $\$ 9,800$ ?

Solve the quadratic equation. $( n - 9 ) ^ { 2 } = 3$ Use the following property: For any real number a , $x ^ { 2 } = a$ if and only if $x = \sqrt { a }$ or $x = - \sqrt { a }$ .

Write the number $\sqrt { - 4.9 }$ in the form a + bi.

Use the square root method to solve the equation. $x ^ { 2 } = 16$

Solve the equation by completing the square. $x ^ { 2 } - 8 x - 9 = 0$