Question 1

Solve the inequality. Write the solution set in interval notation.
-$$\frac { x - 3 } { x + 2 } > 0$$

Accepted Answer

A)  $( - 2,3 )$ 
B)  $( - \infty , - 2 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( 3 , \infty )$ 
A)  $( - 2,3 )$ 
B)  $( - \infty , - 2 ) \cup ( 3 , \infty )$ 
C)  $( - \infty , - 2 )$ 
D)  $( 3 , \infty )$

Question 2

Use the quadratic formula to solve the equation.
-$$( x - 3 ) ( 2 x + 2 ) = 3 ( x - 1 ) - 6$$

Accepted Answer

A)  $\left\{ \frac { 7 } { 4 } - \frac { \sqrt { 73 } } { 4 } , \frac { 7 } { 4 } + \frac { \sqrt { 73 } } { 4 } \right\}$ 
B)  $\left\{ - 3 , - \frac { 1 } { 2 } \right\}$ 
C)  $\left\{ - \frac { 7 } { 4 } - \frac { \sqrt { 73 } } { 4 } , - \frac { 7 } { 4 } + \frac { \sqrt { 73 } } { 4 } \right\}$ 
D)  $\left\{ \frac { 1 } { 2 } , 3 \right\}$ 
A)  $\left\{ \frac { 7 } { 4 } - \frac { \sqrt { 73 } } { 4 } , \frac { 7 } { 4 } + \frac { \sqrt { 73 } } { 4 } \right\}$ 
B)  $\left\{ - 3 , - \frac { 1 } { 2 } \right\}$ 
C)  $\left\{ - \frac { 7 } { 4 } - \frac { \sqrt { 73 } } { 4 } , - \frac { 7 } { 4 } + \frac { \sqrt { 73 } } { 4 } \right\}$ 
D)  $\left\{ \frac { 1 } { 2 } , 3 \right\}$

Question 3

Use the discriminant to determine the number and type of solutions of the equation.
-$$5 + 4 x ^ { 2 } = - 7 x$$

Accepted Answer

A)  Two real solutions 
B)  One real solution 
C)  Two complex but not real solutions 
A)  Two real solutions 
B)  One real solution 
C)  Two complex but not real solutions

Question 4

Use the quadratic formula to solve the equation.
-$$n ^ { 2 } + 16 n + 43 = 0$$

Accepted Answer

A)  $\{ - 8 - \sqrt { 21 } , - 8 + \sqrt { 21 } \}$ 
B)  $\{ - 16 + \sqrt { 43 } \}$ 
C)  $\{ 8 - \sqrt { 43 } , 8 + \sqrt { 43 } \}$ 
D)  $\{ 8 + \sqrt { 21 } \}$ 
A)  $\{ - 8 - \sqrt { 21 } , - 8 + \sqrt { 21 } \}$ 
B)  $\{ - 16 + \sqrt { 43 } \}$ 
C)  $\{ 8 - \sqrt { 43 } , 8 + \sqrt { 43 } \}$ 
D)  $\{ 8 + \sqrt { 21 } \}$

Question 5

Solve.
-Because of the increase in traffic between Springfield and Orangeville, a new road was built to connect the two towns. The old road goes south x miles from Springfield to Freeport and then goes east x + 3 miles from
Freeport to Orangeville. The new road is 11 miles long and goes straight from Springfield to Orangeville. Find
The number of miles that a person saves by driving the new road over the old one.

Accepted Answer

A)  $( \sqrt { 233 } + 11 ) \mathrm { mi }$ 
B)  $\left( \frac { 3 } { 2 } + \frac { \sqrt { 233 } } { 2 } \right) \mathrm { mi }$ 
C)  $( \sqrt { 233 } - 11 ) \mathrm { mi }$ 
D)  $\left( - \frac { 3 } { 2 } + \frac { \sqrt { 233 } } { 2 } \right) \mathrm { mi }$ 
A)  $( \sqrt { 233 } + 11 ) \mathrm { mi }$ 
B)  $\left( \frac { 3 } { 2 } + \frac { \sqrt { 233 } } { 2 } \right) \mathrm { mi }$ 
C)  $( \sqrt { 233 } - 11 ) \mathrm { mi }$ 
D)  $\left( - \frac { 3 } { 2 } + \frac { \sqrt { 233 } } { 2 } \right) \mathrm { mi }$

Question 6

Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any).

-$h(x)=x^{2}-8 x+16$

Accepted Answer

A)  vertex: $( 4,0 )$
$x$-intercept: $( 4,0 ) , \mathrm { y }$-intercept: $( 0,16 )$
  
B)  vertex: $( 4,0 )$
$x$-intercept: $( 4,0 ) , y$-intercept: $( 0 , - 16 )$
  
C)  vertex: $( - 4,0 )$
$x$-intercept: $( 4,0 ) , \mathrm { y }$-intercept: $( 0,16 )$
  
D)  vertex: $( 0,4 )$
$x$-intercept: $( 4,0 ) , y$-intercept: $( 0,16 )$
  
A)  vertex: $( 4,0 )$
$x$-intercept: $( 4,0 ) , \mathrm { y }$-intercept: $( 0,16 )$
  
B)  vertex: $( 4,0 )$
$x$-intercept: $( 4,0 ) , y$-intercept: $( 0 , - 16 )$
  
C)  vertex: $( - 4,0 )$
$x$-intercept: $( 4,0 ) , \mathrm { y }$-intercept: $( 0,16 )$
  
D)  vertex: $( 0,4 )$
$x$-intercept: $( 4,0 ) , y$-intercept: $( 0,16 )$

Question 7

Find the vertex of the graph of the quadratic function.
-$$f ( x ) = - x ^ { 2 } + 9 x - 9$$

Accepted Answer

A)  $( - 9 , - 171 )$ 
B)  $\left( - \frac { 9 } { 2 } , - \frac { 279 } { 4 } \right)$ 
C)  $( 9 , - 9 )$ 
D)  $\left( \frac { 9 } { 2 } , \frac { 45 } { 4 } \right)$ 
A)  $( - 9 , - 171 )$ 
B)  $\left( - \frac { 9 } { 2 } , - \frac { 279 } { 4 } \right)$ 
C)  $( 9 , - 9 )$ 
D)  $\left( \frac { 9 } { 2 } , \frac { 45 } { 4 } \right)$

Question 8

Solve the inequality. Write the solution set in interval notation.
-$$\frac { 2 } { x - 6 } < 1$$

Accepted Answer

A)  $( - \infty , 6 ) \cup ( 8 , \infty )$ 
B)  $( - \infty , 6 )$ 
C)  $( 6,8 )$ 
D)  $( - \infty , 6 ] \cup [ 8 , \infty )$ 
A)  $( - \infty , 6 ) \cup ( 8 , \infty )$ 
B)  $( - \infty , 6 )$ 
C)  $( 6,8 )$ 
D)  $( - \infty , 6 ] \cup [ 8 , \infty )$

Question 9

Solve the inequality. Write the solution set in interval notation.
-$$- 3 x ^ { 2 } + 8 x \geq 0$$

Accepted Answer

A)  $\left[ 0 , \frac { 8 } { 3 } \right]$ 
B)  $\left[ - \frac { 8 } { 3 } , 0 \right]$ 
C)  $\left( - \infty , - \frac { 8 } { 3 } \right] \cup [ 0 , \infty )$ 
D)  $( - \infty , 0 ] \cup \left[ \frac { 8 } { 3 } , \infty \right)$ 
A)  $\left[ 0 , \frac { 8 } { 3 } \right]$ 
B)  $\left[ - \frac { 8 } { 3 } , 0 \right]$ 
C)  $\left( - \infty , - \frac { 8 } { 3 } \right] \cup [ 0 , \infty )$ 
D)  $( - \infty , 0 ] \cup \left[ \frac { 8 } { 3 } , \infty \right)$

Question 10

Find the vertex of the graph of the quadratic function.
-$$f ( x ) = - 3 x ^ { 2 } + 6 x + 1$$

Accepted Answer

A)  $( 1,4 )$ 
B)  $( 2 , - 5 )$ 
C)  $( - 1 , - 8 )$ 
D)  $( - 2 , - 23 )$ 
A)  $( 1,4 )$ 
B)  $( 2 , - 5 )$ 
C)  $( - 1 , - 8 )$ 
D)  $( - 2 , - 23 )$

Question 11

Solve.
-The length and width of a rectangle must have a sum of 28 feet. Find the dimensions of the rectangle whose area is as large as possible.

Accepted Answer

A)  Length $14 \mathrm { ft }$; width $42 \mathrm { ft }$ 
B)  Length $13 \mathrm { ft }$; width $15 \mathrm { ft }$ 
C)  Length $14 \mathrm { ft }$; width $14 \mathrm { ft }$ 
D)  Length $\frac { 1 } { 14 } \mathrm { ft }$; width $\frac { 13 } { 14 } \mathrm { ft }$ 
A)  Length $14 \mathrm { ft }$; width $42 \mathrm { ft }$ 
B)  Length $13 \mathrm { ft }$; width $15 \mathrm { ft }$ 
C)  Length $14 \mathrm { ft }$; width $14 \mathrm { ft }$ 
D)  Length $\frac { 1 } { 14 } \mathrm { ft }$; width $\frac { 13 } { 14 } \mathrm { ft }$

Question 12

Solve.
-A car traveled 109 miles on a trip. During 40 miles of the trip, the car traveled through the city and had gas mileage that was 3 fewer miles per gallon than the gas mileage on the highway. If the total amount of gasoline
Used for the trip was 5 gallons, find the gas mileage of the car on the highway.

Accepted Answer

A)  23 miles per gallon 
B)  26 miles per gallon 
C)  20 miles per gallon 
D)  17 miles per gallon 
A)  23 miles per gallon 
B)  26 miles per gallon 
C)  20 miles per gallon 
D)  17 miles per gallon

Question 13

Solve the inequality. Write the solution set in interval notation.
-$$\frac { x - 1 } { x + 6 } < 0$$

Accepted Answer

A)  $( - 6,1 )$ 
B)  $( 1 , \infty )$ 
C)  $( - \infty , - 6 )$ 
D)  $( - \infty , - 6 ) \cup ( 1 , \infty )$ 
A)  $( - 6,1 )$ 
B)  $( 1 , \infty )$ 
C)  $( - \infty , - 6 )$ 
D)  $( - \infty , - 6 ) \cup ( 1 , \infty )$

Question 14

Solve the equation.
-$$\frac { 9 } { x - 5 } + \frac { x } { x + 5 } = \frac { 51 } { x ^ { 2 } - 25 }$$

Accepted Answer

A)  $\{ - 2 - \mathrm { i } \sqrt { 2 } , - 2 + \mathrm { i } \sqrt { 2 } \}$ 
B)  $\{ 2 - \mathrm { i } \sqrt { 2 } , 2 + \mathrm { i } \sqrt { 2 } \}$ 
C)  $\{ 2 - \sqrt { 10 } , 2 + \sqrt { 10 } \}$ 
D)  $\{ - 2 - \sqrt { 10 } , - 2 + \sqrt { 10 } \}$ 
A)  $\{ - 2 - \mathrm { i } \sqrt { 2 } , - 2 + \mathrm { i } \sqrt { 2 } \}$ 
B)  $\{ 2 - \mathrm { i } \sqrt { 2 } , 2 + \mathrm { i } \sqrt { 2 } \}$ 
C)  $\{ 2 - \sqrt { 10 } , 2 + \sqrt { 10 } \}$ 
D)  $\{ - 2 - \sqrt { 10 } , - 2 + \sqrt { 10 } \}$

Question 15

Solve.
-$$\frac { 2 } { x ^ { 2 } } = \frac { 1 } { x + 4 }$$

Accepted Answer

A)  $\{ 1 - 3,1 + 3 \}$ 
B)  $\{ 1 - \mathrm { i } \sqrt { 7 } , 1 + \mathrm { i } \sqrt { 7 } \}$ 
C)  $\{ - 1 - i \sqrt { 7 } , - 1 + i \sqrt { 7 } \}$ 
D)  $\{ - 1 - 3 , - 1 + 3 \}$ 
A)  $\{ 1 - 3,1 + 3 \}$ 
B)  $\{ 1 - \mathrm { i } \sqrt { 7 } , 1 + \mathrm { i } \sqrt { 7 } \}$ 
C)  $\{ - 1 - i \sqrt { 7 } , - 1 + i \sqrt { 7 } \}$ 
D)  $\{ - 1 - 3 , - 1 + 3 \}$

Question 16

Solve the equation by completing the square.
-$$x ^ { 2 } + 5 x - 5 = 0$$

Accepted Answer

A)  $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } , \frac { - 5 + 3 \sqrt { 5 } } { 2 } \right\}$ 
B)  $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } \right\}$ 
C)  $\{ - 5 - 3 \sqrt { 5 } , - 5 + 3 \sqrt { 5 } \}$ 
D)  $\left\{ \frac { 5 + 3 \sqrt { 5 } } { 2 } \right\}$ 
A)  $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } , \frac { - 5 + 3 \sqrt { 5 } } { 2 } \right\}$ 
B)  $\left\{ \frac { - 5 - 3 \sqrt { 5 } } { 2 } \right\}$ 
C)  $\{ - 5 - 3 \sqrt { 5 } , - 5 + 3 \sqrt { 5 } \}$ 
D)  $\left\{ \frac { 5 + 3 \sqrt { 5 } } { 2 } \right\}$

Question 17

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.
-$f ( x ) = ( x - 1 ) ^ { 2 } - 4$

Accepted Answer

A)  Vertex: $( - 1 , - 4 )$; axis: $x = - 1$
  
B)  Vertex: $( 1 , - 4 )$; axis: $x = 1$
  
C)  Vertex: $( 1 , - 4 )$; axis: $x = 1$
  
D)  Vertex: $( - 1 , - 4 )$; axis: $x = - 1$
  
A)  Vertex: $( - 1 , - 4 )$; axis: $x = - 1$
  
B)  Vertex: $( 1 , - 4 )$; axis: $x = 1$
  
C)  Vertex: $( 1 , - 4 )$; axis: $x = 1$
  
D)  Vertex: $( - 1 , - 4 )$; axis: $x = - 1$

Question 18

Solve.
-$$x ^ { 4 } - 17 x ^ { 2 } + 16 = 0$$

Accepted Answer

A)  $\{ - i , i , - 4 i , 4 i \}$ 
B)  $\{ 1,16 \}$ 
C)  $\{ - 1,1 , - 4,4 \}$ 
D)  $\{ - 1,1 , - 4 i , 4 i \}$ 
A)  $\{ - i , i , - 4 i , 4 i \}$ 
B)  $\{ 1,16 \}$ 
C)  $\{ - 1,1 , - 4,4 \}$ 
D)  $\{ - 1,1 , - 4 i , 4 i \}$

Question 19

Solve.
-$$x ^ { 3 } + 343 = 0$$

Accepted Answer

A)  $\left\{ 7 , \frac { - 7 - 7 i \sqrt { 3 } } { 2 } , \frac { - 7 + 7 i \sqrt { 3 } } { 2 } \right\}$ 
B)  $\left\{ 7 , \frac { - 7 - 7 \sqrt { 5 } } { 2 } , \frac { - 7 + 7 \sqrt { 5 } } { 2 } \right\}$ 
C)  $\left\{ - 7 , \frac { 7 - 7 i \sqrt { 3 } } { 2 } , \frac { 7 + 7 i \sqrt { 3 } } { 2 } \right\}$ 
D)  $\left\{ - 7 , \frac { - 7 - 7 i \sqrt { 3 } } { 2 } , \frac { - 7 + 7 i \sqrt { 3 } } { 2 } \right\}$ 
A)  $\left\{ 7 , \frac { - 7 - 7 i \sqrt { 3 } } { 2 } , \frac { - 7 + 7 i \sqrt { 3 } } { 2 } \right\}$ 
B)  $\left\{ 7 , \frac { - 7 - 7 \sqrt { 5 } } { 2 } , \frac { - 7 + 7 \sqrt { 5 } } { 2 } \right\}$ 
C)  $\left\{ - 7 , \frac { 7 - 7 i \sqrt { 3 } } { 2 } , \frac { 7 + 7 i \sqrt { 3 } } { 2 } \right\}$ 
D)  $\left\{ - 7 , \frac { - 7 - 7 i \sqrt { 3 } } { 2 } , \frac { - 7 + 7 i \sqrt { 3 } } { 2 } \right\}$

Question 20

$x ^ { 2 } = 64$

Accepted Answer

A)  $\{ - 8,8 \}$ 
B)  $\{ 32 \}$ 
C)  $\{ - 9,9 \}$ 
D)  $\{ 8 \}$ 
A)  $\{ - 8,8 \}$ 
B)  $\{ 32 \}$ 
C)  $\{ - 9,9 \}$ 
D)  $\{ 8 \}$

Solve the inequality. Write the solution set in interval notation. - $\frac { x - 3 } { x + 2 } > 0$

Use the quadratic formula to solve the equation. - $( x - 3 ) ( 2 x + 2 ) = 3 ( x - 1 ) - 6$

Use the discriminant to determine the number and type of solutions of the equation. - $5 + 4 x ^ { 2 } = - 7 x$

Use the quadratic formula to solve the equation. - $n ^ { 2 } + 16 n + 43 = 0$

Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any). - $h(x)=x^{2}-8 x+16$ $Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any). - h(x)=x^{2}-8 x+16$

Find the vertex of the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 9 x - 9$

Solve the inequality. Write the solution set in interval notation. - $\frac { 2 } { x - 6 } < 1$

Solve the inequality. Write the solution set in interval notation. - $- 3 x ^ { 2 } + 8 x \geq 0$

Find the vertex of the graph of the quadratic function. - $f ( x ) = - 3 x ^ { 2 } + 6 x + 1$

Solve. -The length and width of a rectangle must have a sum of 28 feet. Find the dimensions of the rectangle whose area is as large as possible.

Solve the inequality. Write the solution set in interval notation. - $\frac { x - 1 } { x + 6 } < 0$

Solve the equation. - $\frac { 9 } { x - 5 } + \frac { x } { x + 5 } = \frac { 51 } { x ^ { 2 } - 25 }$

Solve. - $\frac { 2 } { x ^ { 2 } } = \frac { 1 } { x + 4 }$

Solve the equation by completing the square. - $x ^ { 2 } + 5 x - 5 = 0$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f ( x ) = ( x - 1 ) ^ { 2 } - 4$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f ( x ) = ( x - 1 ) ^ { 2 } - 4$

Solve. - $x ^ { 4 } - 17 x ^ { 2 } + 16 = 0$

Solve. - $x ^ { 3 } + 343 = 0$

$x ^ { 2 } = 64$

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

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Exam 8: Quadratic Equations and Functions

Solve the inequality. Write the solution set in interval notation. - x−3x+2>0\frac { x - 3 } { x + 2 } > 0x+2x−3​>0

Use the quadratic formula to solve the equation. - (x−3)(2x+2)=3(x−1)−6( x - 3 ) ( 2 x + 2 ) = 3 ( x - 1 ) - 6(x−3)(2x+2)=3(x−1)−6

Use the discriminant to determine the number and type of solutions of the equation. - 5+4x2=−7x5 + 4 x ^ { 2 } = - 7 x5+4x2=−7x

Use the quadratic formula to solve the equation. - n2+16n+43=0n ^ { 2 } + 16 n + 43 = 0n2+16n+43=0

Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any). - h(x)=x2−8x+16h(x)=x^{2}-8 x+16h(x)=x2−8x+16

Find the vertex of the graph of the quadratic function. - f(x)=−x2+9x−9f ( x ) = - x ^ { 2 } + 9 x - 9f(x)=−x2+9x−9

Solve the inequality. Write the solution set in interval notation. - 2x−6<1\frac { 2 } { x - 6 } < 1x−62​<1

Solve the inequality. Write the solution set in interval notation. - −3x2+8x≥0- 3 x ^ { 2 } + 8 x \geq 0−3x2+8x≥0

Find the vertex of the graph of the quadratic function. - f(x)=−3x2+6x+1f ( x ) = - 3 x ^ { 2 } + 6 x + 1f(x)=−3x2+6x+1

Solve. -The length and width of a rectangle must have a sum of 28 feet. Find the dimensions of the rectangle whose area is as large as possible.

Solve the inequality. Write the solution set in interval notation. - x−1x+6<0\frac { x - 1 } { x + 6 } < 0x+6x−1​<0

Solve the equation. - 9x−5+xx+5=51x2−25\frac { 9 } { x - 5 } + \frac { x } { x + 5 } = \frac { 51 } { x ^ { 2 } - 25 }x−59​+x+5x​=x2−2551​

Solve. - 2x2=1x+4\frac { 2 } { x ^ { 2 } } = \frac { 1 } { x + 4 }x22​=x+41​

Solve the equation by completing the square. - x2+5x−5=0x ^ { 2 } + 5 x - 5 = 0x2+5x−5=0

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f(x)=(x−1)2−4f ( x ) = ( x - 1 ) ^ { 2 } - 4f(x)=(x−1)2−4

Solve. - x4−17x2+16=0x ^ { 4 } - 17 x ^ { 2 } + 16 = 0x4−17x2+16=0

Solve. - x3+343=0x ^ { 3 } + 343 = 0x3+343=0

x2=64x ^ { 2 } = 64x2=64

Real Numbers and Algebraic Expressions

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Solve the inequality. Write the solution set in interval notation. - $\frac { x - 3 } { x + 2 } > 0$

Use the quadratic formula to solve the equation. - $( x - 3 ) ( 2 x + 2 ) = 3 ( x - 1 ) - 6$

Use the discriminant to determine the number and type of solutions of the equation. - $5 + 4 x ^ { 2 } = - 7 x$

Use the quadratic formula to solve the equation. - $n ^ { 2 } + 16 n + 43 = 0$

Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any). - $h(x)=x^{2}-8 x+16$ $Graph the function. Find and label the vertex, y-intercept, and x-intercepts (if any). - h(x)=x^{2}-8 x+16$

Find the vertex of the graph of the quadratic function. - $f ( x ) = - x ^ { 2 } + 9 x - 9$

Solve the inequality. Write the solution set in interval notation. - $\frac { 2 } { x - 6 } < 1$

Solve the inequality. Write the solution set in interval notation. - $- 3 x ^ { 2 } + 8 x \geq 0$

Find the vertex of the graph of the quadratic function. - $f ( x ) = - 3 x ^ { 2 } + 6 x + 1$

Solve the inequality. Write the solution set in interval notation. - $\frac { x - 1 } { x + 6 } < 0$

Solve the equation. - $\frac { 9 } { x - 5 } + \frac { x } { x + 5 } = \frac { 51 } { x ^ { 2 } - 25 }$

Solve. - $\frac { 2 } { x ^ { 2 } } = \frac { 1 } { x + 4 }$

Solve the equation by completing the square. - $x ^ { 2 } + 5 x - 5 = 0$

Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - $f ( x ) = ( x - 1 ) ^ { 2 } - 4$ $Sketch the graph of the quadratic function. Give the vertex and axis of symmetry. - f ( x ) = ( x - 1 ) ^ { 2 } - 4$

Solve. - $x ^ { 4 } - 17 x ^ { 2 } + 16 = 0$

Solve. - $x ^ { 3 } + 343 = 0$

$x ^ { 2 } = 64$