Question 1

Solve the equation. $n ^ { 2 } - 81 = 0$

Accepted Answer

The answer of Solve the equation. \(n ^ { 2...

Question 2

Solve the equation. $w ^ { 2 } + 19 w + 90 = 0$

Accepted Answer

A)  $w = - 9$ , $w = - 10$ 
B)  $w = 9$ , $w = 10$ 
C)  $w = - 9$ , $w = 10$ 
D)  $w = 9$ , $w = - 10$ 
E)  $w = - 9$ 
A)  $w = - 9$ , $w = - 10$ 
B)  $w = 9$ , $w = 10$ 
C)  $w = - 9$ , $w = 10$ 
D)  $w = 9$ , $w = - 10$ 
E)  $w = - 9$

Question 3

Find the values of a, b and c in the equation. $3 x ^ { 2 } - 16 = 0$

Accepted Answer

A)  a = $16$ , b = $8$ , c = $- 3$ 
B)  a = $3$ , b = 0, c = $- 16$ 
C)  a = $3$ , b = 1, c = $13$ 
D)  a = $3$ , b = 1, c = $- 13$ 
E)  a = $3$ , b = 0, c = $16$ 
A)  a = $16$ , b = $8$ , c = $- 3$ 
B)  a = $3$ , b = 0, c = $- 16$ 
C)  a = $3$ , b = 1, c = $13$ 
D)  a = $3$ , b = 1, c = $- 13$ 
E)  a = $3$ , b = 0, c = $16$

Question 4

Solve the equation. $25 n ^ { 2 } = 49$

Accepted Answer

The answer of Solve the equation. \(25 n ^ {...

Question 5

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } - x + 7 = 0$ x = ______ $\pm$ ______j

Accepted Answer

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

Question 6

Simplify. $\frac { 1 } { j ^ { 26 } }$

Accepted Answer

The answer of Simplify. \(\frac { 1 } { j...

Question 7

Determine the nature of the roots of the quadratic equation without solving it. $8 x ^ { 2 } - 7 x + 3 = 0$

Accepted Answer

A)  two irrational roots 
B)  one rational root 
C)  two rational roots 
D)  two imaginary roots 
A)  two irrational roots 
B)  one rational root 
C)  two rational roots 
D)  two imaginary roots

Question 8

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } + 16 x + 100 = 0$

Accepted Answer

A)  $x = - 8 + 7 j , \quad x = - 8 - 7 j$ 
B)  $x = - 7 + 6 j , \quad x = - 7 - 6 j$ 
C)  $x = - 8 , \quad x = - 8$ 
D)  $x = - 8 + 6 j , \quad x = - 8 - 6 j$ 
E)  $x = - 7 + 7 j , \quad x = - 7 - 7 j$ 
A)  $x = - 8 + 7 j , \quad x = - 8 - 7 j$ 
B)  $x = - 7 + 6 j , \quad x = - 7 - 6 j$ 
C)  $x = - 8 , \quad x = - 8$ 
D)  $x = - 8 + 6 j , \quad x = - 8 - 6 j$ 
E)  $x = - 7 + 7 j , \quad x = - 7 - 7 j$

Question 9

Solve the equation. $6 x ^ { 2 } + 48 x = 0$

Accepted Answer

A)  $x = 0$ , $x = 8$ 
B)  $x = 2$ , $x = 8$ 
C)  $x = 8$ 
D)  $x = 0$ , $x = - 8$ 
E)  $x = 0$ 
A)  $x = 0$ , $x = 8$ 
B)  $x = 2$ , $x = 8$ 
C)  $x = 8$ 
D)  $x = 0$ , $x = - 8$ 
E)  $x = 0$

Question 10

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

Accepted Answer

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

Question 11

Express the number in terms of j (if necessary, round the result to three significant digits). $\sqrt { - 81 }$

Accepted Answer

A)  9 
B)  81j 
C)  9j 
D)  -9j 
E)  -9 
A)  9 
B)  81j 
C)  9j 
D)  -9j 
E)  -9

Question 12

Solve the equation. $33 x ^ { 2 } + 130 x + 33 = 0$

Accepted Answer

A)  $x = \frac { 11 } { 3 }$ 
B)  $x = - \frac { 11 } { 3 } , x = - \frac { 3 } { 11 }$ 
C)  $x = \frac { 11 } { 3 } , x = - \frac { 3 } { 11 }$ 
D)  $x = \frac { 11 } { 3 } , x = \frac { 3 } { 11 }$ 
E)  $x = - \frac { 11 } { 3 } , x = \frac { 3 } { 11 }$ 
A)  $x = \frac { 11 } { 3 }$ 
B)  $x = - \frac { 11 } { 3 } , x = - \frac { 3 } { 11 }$ 
C)  $x = \frac { 11 } { 3 } , x = - \frac { 3 } { 11 }$ 
D)  $x = \frac { 11 } { 3 } , x = \frac { 3 } { 11 }$ 
E)  $x = - \frac { 11 } { 3 } , x = \frac { 3 } { 11 }$

Question 13

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $y ^ { 2 } = 6 y + 3$

Accepted Answer

A)  6.46, -6.464 
B)  6.46, -0.464 
C)  6.46, -1.46 
D)  7.46, -1.46 
E)  7.46, -0.464 
A)  6.46, -6.464 
B)  6.46, -0.464 
C)  6.46, -1.46 
D)  7.46, -1.46 
E)  7.46, -0.464

Question 14

Solve the equation. $c ^ { 2 } + 20 = 9 c$

Accepted Answer

The answer of Solve the equation. \(c ^ { 2...

Question 15

A company needs to build a warehouse with perimeter $700 \mathrm { ft }$ . Find the dimensions to give maximum floor space.

Accepted Answer

A)  $175 \mathrm { ft } \times 175 \mathrm { ft }$ 
B)  $150 \mathrm { ft } \times 200 \mathrm { ft }$ 
C)  $360 \mathrm { ft } \times 340 \mathrm { ft }$ 
D)  $125 \mathrm { ft } \times 225 \mathrm { ft }$ 
E)  $350 \mathrm { ft } \times 350 \mathrm { ft }$ 
A)  $175 \mathrm { ft } \times 175 \mathrm { ft }$ 
B)  $150 \mathrm { ft } \times 200 \mathrm { ft }$ 
C)  $360 \mathrm { ft } \times 340 \mathrm { ft }$ 
D)  $125 \mathrm { ft } \times 225 \mathrm { ft }$ 
E)  $350 \mathrm { ft } \times 350 \mathrm { ft }$

Question 16

Find the values of a, b, and c in the equation. $$5 x ^ { 2 } - 13 = 0$$ a =               
 
b =               
 
c =

Accepted Answer

The answer of Find the values of a, b, and...

Question 17

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

Accepted Answer

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

Question 18

Draw the graph of the equation and label the vertex. $y = 6 x ^ { 2 } - 3 x - 14$

Accepted Answer

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

Question 19

Simplify. $j ^ { 35 }$

Accepted Answer

A)  -1 
B)  $- j$ 
C)  $- j ^ { 3 }$ 
D)  $j$ 
E)  $1$ 
A)  -1 
B)  $- j$ 
C)  $- j ^ { 3 }$ 
D)  $j$ 
E)  $1$

Question 20

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $8 x ^ { 2 } = 12 x - 3$

Accepted Answer

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

Solve the equation. $n ^ { 2 } - 81 = 0$

Solve the equation. $w ^ { 2 } + 19 w + 90 = 0$

Find the values of a, b and c in the equation. $3 x ^ { 2 } - 16 = 0$

Solve the equation. $25 n ^ { 2 } = 49$

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } - x + 7 = 0$ x = $\pm$ j

Simplify. $\frac { 1 } { j ^ { 26 } }$

Determine the nature of the roots of the quadratic equation without solving it. $8 x ^ { 2 } - 7 x + 3 = 0$

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } + 16 x + 100 = 0$

Solve the equation. $6 x ^ { 2 } + 48 x = 0$

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

Express the number in terms of j (if necessary, round the result to three significant digits). $\sqrt { - 81 }$

Solve the equation. $33 x ^ { 2 } + 130 x + 33 = 0$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $y ^ { 2 } = 6 y + 3$

Solve the equation. $c ^ { 2 } + 20 = 9 c$

A company needs to build a warehouse with perimeter $700 \mathrm { ft }$ . Find the dimensions to give maximum floor space.

Find the values of a, b, and c in the equation. $5 x ^ { 2 } - 13 = 0$ a = b = c =

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

Draw the graph of the equation and label the vertex. $y = 6 x ^ { 2 } - 3 x - 14$

Simplify. $j ^ { 35 }$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $8 x ^ { 2 } = 12 x - 3$

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. n2−81=0n ^ { 2 } - 81 = 0n2−81=0

Solve the equation. w2+19w+90=0w ^ { 2 } + 19 w + 90 = 0w2+19w+90=0

Find the values of a, b and c in the equation. 3x2−16=03 x ^ { 2 } - 16 = 03x2−16=0

Solve the equation. 25n2=4925 n ^ { 2 } = 4925n2=49

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). x2−x+7=0x ^ { 2 } - x + 7 = 0x2−x+7=0 x = ______ ±\pm± ______j

Simplify. 1j26\frac { 1 } { j ^ { 26 } }j261​

Determine the nature of the roots of the quadratic equation without solving it. 8x2−7x+3=08 x ^ { 2 } - 7 x + 3 = 08x2−7x+3=0

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). x2+16x+100=0x ^ { 2 } + 16 x + 100 = 0x2+16x+100=0

Solve the equation. 6x2+48x=06 x ^ { 2 } + 48 x = 06x2+48x=0

Draw the graph of the equation and label the vertex. y=12x2y = \frac { 1 } { 2 } x ^ { 2 }y=21​x2

Express the number in terms of j (if necessary, round the result to three significant digits). −81\sqrt { - 81 }−81​

Solve the equation. 33x2+130x+33=033 x ^ { 2 } + 130 x + 33 = 033x2+130x+33=0

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). y2=6y+3y ^ { 2 } = 6 y + 3y2=6y+3

Solve the equation. c2+20=9cc ^ { 2 } + 20 = 9 cc2+20=9c

A company needs to build a warehouse with perimeter 700ft700 \mathrm { ft }700ft . Find the dimensions to give maximum floor space.

Find the values of a, b, and c in the equation. 5x2−13=05 x ^ { 2 } - 13 = 05x2−13=0 a = b = c =

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

Draw the graph of the equation and label the vertex. y=6x2−3x−14y = 6 x ^ { 2 } - 3 x - 14y=6x2−3x−14

Simplify. j35j ^ { 35 }j35

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). 8x2=12x−38 x ^ { 2 } = 12 x - 38x2=12x−3

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. $n ^ { 2 } - 81 = 0$

Solve the equation. $w ^ { 2 } + 19 w + 90 = 0$

Find the values of a, b and c in the equation. $3 x ^ { 2 } - 16 = 0$

Solve the equation. $25 n ^ { 2 } = 49$

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } - x + 7 = 0$ x = $\pm$ j

Simplify. $\frac { 1 } { j ^ { 26 } }$

Determine the nature of the roots of the quadratic equation without solving it. $8 x ^ { 2 } - 7 x + 3 = 0$

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits). $x ^ { 2 } + 16 x + 100 = 0$

Solve the equation. $6 x ^ { 2 } + 48 x = 0$

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

Express the number in terms of j (if necessary, round the result to three significant digits). $\sqrt { - 81 }$

Solve the equation. $33 x ^ { 2 } + 130 x + 33 = 0$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $y ^ { 2 } = 6 y + 3$

Solve the equation. $c ^ { 2 } + 20 = 9 c$

A company needs to build a warehouse with perimeter $700 \mathrm { ft }$ . Find the dimensions to give maximum floor space.

Find the values of a, b, and c in the equation. $5 x ^ { 2 } - 13 = 0$ a = b = c =

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

Draw the graph of the equation and label the vertex. $y = 6 x ^ { 2 } - 3 x - 14$

Simplify. $j ^ { 35 }$

Solve the equation using the quadratic formula (when necessary, round results to three significant digits). $8 x ^ { 2 } = 12 x - 3$