Question 1

Solve the equation using the quadratic formula. Check your solution. $z ^ { 2 } - z - 12 = 0$

Accepted Answer

A)  3, -4 
B)  3 
C)  4, -4 
D)  4, -5 
E)  3, -5 
A)  3, -4 
B)  3 
C)  4, -4 
D)  4, -5 
E)  3, -5 A

Question 2

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 } - 4 x - 3$

Accepted Answer

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

Question 3

Draw the graph of the equation and label the vertex. $y = \frac { 1 } { 3 } x ^ { 2 } - \frac { 2 } { 3 } x + 8$

Accepted Answer

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

Question 4

Solve the equation. $n ^ { 2 } - 5 n - 24 = 0$

Accepted Answer

A)  $n = 3$ , $n = 8$ 
B)  $n = 3$ , $n = - 8$ 
C)  $n = - 3$ 
D)  $n = - 3$ , $n = 8$ 
E)  $n = - 3$ , $n = - 8$ 
A)  $n = 3$ , $n = 8$ 
B)  $n = 3$ , $n = - 8$ 
C)  $n = - 3$ 
D)  $n = - 3$ , $n = 8$ 
E)  $n = - 3$ , $n = - 8$

Question 5

A rectangular piece of sheet metal is $2$ ft longer than it is wide. (See the figure below.) The area of the piece of sheet metal is $24$   $$\mathrm { et } ^ { 2 }$$ Find its length and width.

Accepted Answer

A)  $7 \mathrm { ft } \times 9 \mathrm { ft }$ 
B)  $4 \mathrm { ft } \times 7 \mathrm { ft }$ 
C)  $4 \mathrm { ft } \times 6 \mathrm { ft }$ 
D)  $5 \mathrm { ft } \times 7 \mathrm { ft }$ 
E)  $3 \mathrm { ft } \times 5 \mathrm { ft }$ 
A)  $7 \mathrm { ft } \times 9 \mathrm { ft }$ 
B)  $4 \mathrm { ft } \times 7 \mathrm { ft }$ 
C)  $4 \mathrm { ft } \times 6 \mathrm { ft }$ 
D)  $5 \mathrm { ft } \times 7 \mathrm { ft }$ 
E)  $3 \mathrm { ft } \times 5 \mathrm { ft }$

Question 6

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $- 5 z ^ { 2 } - 6 = - 7 z ^ { 2 }$

Accepted Answer

The answer of Solve the equation using the quadratic formula...

Question 7

Solve the equation. $x ^ { 2 } - 110 = x$

Accepted Answer

A)  $x = 11$ , $x = 10$ 
B)  $x = - 11$ , $x = - 10$ 
C)  $x = - 11$ , $x = 10$ 
D)  $x = 11$ , $x = - 10$ 
E)  $x = 11$ 
A)  $x = 11$ , $x = 10$ 
B)  $x = - 11$ , $x = - 10$ 
C)  $x = - 11$ , $x = 10$ 
D)  $x = 11$ , $x = - 10$ 
E)  $x = 11$

Question 8

Solve the equation using the quadratic formula. $2 x ^ { 2 } = 15$ Round your answer to three significant digits.

Accepted Answer

A)  x1 = $- 3.10$ , x2 = $3.10$ 
B)  x1 = $- 2.99$ , x2 = $2.99$ 
C)  x1 = $- 2.74$ , x2 = $2.74$ 
D)  x1 = $- 2.77$ , x2 = $2.77$ 
E)  x1 = $- 3.07$ , x2 = $3.07$ 
A)  x1 = $- 3.10$ , x2 = $3.10$ 
B)  x1 = $- 2.99$ , x2 = $2.99$ 
C)  x1 = $- 2.74$ , x2 = $2.74$ 
D)  x1 = $- 2.77$ , x2 = $2.77$ 
E)  x1 = $- 3.07$ , x2 = $3.07$

Question 9

Solve the equation using the quadratic formula. $8 x ^ { 2 } = 23$ Round your answer to three significant digits.

Accepted Answer

The answer of Solve the equation using the quadratic formula....

Question 10

Solve the equation. $2 x ^ { 2 } = 5 x - 2$

Accepted Answer

A)  $x = 2 , \quad x = - \frac { 1 } { 2 }$ 
B)  $x = 2 , \quad x = \frac { 1 } { 2 }$ 
C)  $x = - 2 , \quad x = - \frac { 1 } { 2 }$ 
D)  $x = - 2$ 
E)  $x = - 2 , \quad x = \frac { 1 } { 2 }$ 
A)  $x = 2 , \quad x = - \frac { 1 } { 2 }$ 
B)  $x = 2 , \quad x = \frac { 1 } { 2 }$ 
C)  $x = - 2 , \quad x = - \frac { 1 } { 2 }$ 
D)  $x = - 2$ 
E)  $x = - 2 , \quad x = \frac { 1 } { 2 }$

Question 11

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $18 z ^ { 2 } - 34.4 z = 20$

Accepted Answer

The answer of Solve the equation using the quadratic formula...

Question 12

Determine the nature of the roots of the quadratic equation without solving it. $2 x ^ { 2 } - 5 x + 5 = 0$ __________ root(s)

Accepted Answer

The answer of Determine the nature of the roots of...

Question 13

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 }$

Accepted Answer

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

Question 14

Draw the graph of the equation and label the vertex. $y = x ^ { 2 } + 4$

Accepted Answer

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

Question 15

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $3 z ^ { 2 } + 9 z + 3 = 0$

Accepted Answer

The answer of Solve the equation using the quadratic formula...

Question 16

Solve the equation using the quadratic formula. Check your solution. $4 z ^ { 2 } - 100 = 0$

Accepted Answer

A)  5, -5 
B)  5, -6 
C)  6, -6 
D)  5 
E)  6, -5 
A)  5, -5 
B)  5, -6 
C)  6, -6 
D)  5 
E)  6, -5

Question 17

Solve the equation. $9 m = m ^ { 2 }$

Accepted Answer

A)  $m = 9$ , $m = - 9$ 
B)  $m = 0$ 
C)  $m = 0$ , $m = 9$ 
D)  $m = 9$ 
E)  $m = 0$ , $m = - 9$ 
A)  $m = 9$ , $m = - 9$ 
B)  $m = 0$ 
C)  $m = 0$ , $m = 9$ 
D)  $m = 9$ 
E)  $m = 0$ , $m = - 9$

Question 18

Simplify. $\frac { 1 } { j ^ { 18 } }$

Accepted Answer

A)  $\frac { 1 } { j ^ { 9 } }$ 
B)  1 
C)  -1 
D)  $j$ 
E)  - $j$ 
A)  $\frac { 1 } { j ^ { 9 } }$ 
B)  1 
C)  -1 
D)  $j$ 
E)  - $j$

Question 19

Solve the equation. $w ^ { 2 } - 4 w = 0$

Accepted Answer

A)  $w = 0$ 
B)  $w = - 4$ , $w = 4$ 
C)  $w = 0$ , $w = 4$ 
D)  $w = 0$ , $w = - 4$ 
E)  $w = 4$ 
A)  $w = 0$ 
B)  $w = - 4$ , $w = 4$ 
C)  $w = 0$ , $w = 4$ 
D)  $w = 0$ , $w = - 4$ 
E)  $w = 4$

Question 20

Simplify. $j ^ { 5 }$

Accepted Answer

The answer of Simplify. $j ^ { 5 }$...

Solve the equation using the quadratic formula. Check your solution. $z ^ { 2 } - z - 12 = 0$

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 } - 4 x - 3$

Draw the graph of the equation and label the vertex. $y = \frac { 1 } { 3 } x ^ { 2 } - \frac { 2 } { 3 } x + 8$

Solve the equation. $n ^ { 2 } - 5 n - 24 = 0$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $- 5 z ^ { 2 } - 6 = - 7 z ^ { 2 }$

Solve the equation. $x ^ { 2 } - 110 = x$

Solve the equation using the quadratic formula. $2 x ^ { 2 } = 15$ Round your answer to three significant digits.

Solve the equation using the quadratic formula. $8 x ^ { 2 } = 23$ Round your answer to three significant digits.

Solve the equation. $2 x ^ { 2 } = 5 x - 2$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $18 z ^ { 2 } - 34.4 z = 20$

Determine the nature of the roots of the quadratic equation without solving it. $2 x ^ { 2 } - 5 x + 5 = 0$ __________ root(s)

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 }$

Draw the graph of the equation and label the vertex. $y = x ^ { 2 } + 4$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $3 z ^ { 2 } + 9 z + 3 = 0$

Solve the equation using the quadratic formula. Check your solution. $4 z ^ { 2 } - 100 = 0$

Solve the equation. $9 m = m ^ { 2 }$

Simplify. $\frac { 1 } { j ^ { 18 } }$

Solve the equation. $w ^ { 2 } - 4 w = 0$

Simplify. $j ^ { 5 }$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 11: Quadratic Equations

Solve the equation using the quadratic formula. Check your solution. z2−z−12=0z ^ { 2 } - z - 12 = 0z2−z−12=0

Draw the graph of the equation and label the vertex. y=2x2−4x−3y = 2 x ^ { 2 } - 4 x - 3y=2x2−4x−3

Draw the graph of the equation and label the vertex. y=13x2−23x+8y = \frac { 1 } { 3 } x ^ { 2 } - \frac { 2 } { 3 } x + 8y=31​x2−32​x+8

Solve the equation. n2−5n−24=0n ^ { 2 } - 5 n - 24 = 0n2−5n−24=0

A rectangular piece of sheet metal is 222 ft longer than it is wide. (See the figure below.) The area of the piece of sheet metal is 242424 et2\mathrm { et } ^ { 2 }et2 Find its length and width.

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). −5z2−6=−7z2- 5 z ^ { 2 } - 6 = - 7 z ^ { 2 }−5z2−6=−7z2

Solve the equation. x2−110=xx ^ { 2 } - 110 = xx2−110=x

Solve the equation using the quadratic formula. 2x2=152 x ^ { 2 } = 152x2=15 Round your answer to three significant digits.

Solve the equation using the quadratic formula. 8x2=238 x ^ { 2 } = 238x2=23 Round your answer to three significant digits.

Solve the equation. 2x2=5x−22 x ^ { 2 } = 5 x - 22x2=5x−2

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). 18z2−34.4z=2018 z ^ { 2 } - 34.4 z = 2018z2−34.4z=20

Determine the nature of the roots of the quadratic equation without solving it. 2x2−5x+5=02 x ^ { 2 } - 5 x + 5 = 02x2−5x+5=0 __________ root(s)

Draw the graph of the equation and label the vertex. y=2x2y = 2 x ^ { 2 }y=2x2

Draw the graph of the equation and label the vertex. y=x2+4y = x ^ { 2 } + 4y=x2+4

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). 3z2+9z+3=03 z ^ { 2 } + 9 z + 3 = 03z2+9z+3=0

Solve the equation using the quadratic formula. Check your solution. 4z2−100=04 z ^ { 2 } - 100 = 04z2−100=0

Solve the equation. 9m=m29 m = m ^ { 2 }9m=m2

Simplify. 1j18\frac { 1 } { j ^ { 18 } }j181​

Solve the equation. w2−4w=0w ^ { 2 } - 4 w = 0w2−4w=0

Simplify. j5j ^ { 5 }j5

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Solve the equation using the quadratic formula. Check your solution. $z ^ { 2 } - z - 12 = 0$

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 } - 4 x - 3$

Draw the graph of the equation and label the vertex. $y = \frac { 1 } { 3 } x ^ { 2 } - \frac { 2 } { 3 } x + 8$

Solve the equation. $n ^ { 2 } - 5 n - 24 = 0$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $- 5 z ^ { 2 } - 6 = - 7 z ^ { 2 }$

Solve the equation. $x ^ { 2 } - 110 = x$

Solve the equation using the quadratic formula. $2 x ^ { 2 } = 15$ Round your answer to three significant digits.

Solve the equation using the quadratic formula. $8 x ^ { 2 } = 23$ Round your answer to three significant digits.

Solve the equation. $2 x ^ { 2 } = 5 x - 2$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $18 z ^ { 2 } - 34.4 z = 20$

Determine the nature of the roots of the quadratic equation without solving it. $2 x ^ { 2 } - 5 x + 5 = 0$ __________ root(s)

Draw the graph of the equation and label the vertex. $y = 2 x ^ { 2 }$

Draw the graph of the equation and label the vertex. $y = x ^ { 2 } + 4$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $3 z ^ { 2 } + 9 z + 3 = 0$

Solve the equation using the quadratic formula. Check your solution. $4 z ^ { 2 } - 100 = 0$

Solve the equation. $9 m = m ^ { 2 }$

Simplify. $\frac { 1 } { j ^ { 18 } }$

Solve the equation. $w ^ { 2 } - 4 w = 0$

Simplify. $j ^ { 5 }$