Question 1

Simplify the given expression by writing it as a power of a single variable.

Accepted Answer

The answer of Simplify the given expression by writing it...

Question 2

Suppose p(x) = x2 + 8x + 6. Write the expression
 As a sum of terms, each of which is a constant times a power of h.

Accepted Answer

A)  10 - h 
B)  10 + h 
C)  -6 + h 
D)  -6 - h 
A)  10 - h 
B)  10 + h 
C)  -6 + h 
D)  -6 - h

Question 3

Suppose 
   and    . Write the expression (p + r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Accepted Answer

Question 4

Solve using the quadratic formula.

Accepted Answer

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

Question 5

What number should be added to complete the square of the expression?
X2 - 9x

Accepted Answer

A)  81 
B)  9/2 
C)  81/4 
D)  18 
A)  81 
B)  9/2 
C)  81/4 
D)  18

Question 6

Expand the indicated expression.

Accepted Answer

The answer of Expand the indicated expression.  ...

Question 7

Find all real numbers x such that satisfy the indicated equation.

Accepted Answer

The answer of Find all real numbers x such that...

Question 8

Find the function which is graphed below

Accepted Answer

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

Question 9

Find two numbers whose sum equals 16.2 and whose product equals 62.

Accepted Answer

The answer of Find two numbers whose sum equals 16.2...

Question 10

Write the expression 
   in the form   , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Accepted Answer

The answer of Write the expression 
   in...

Question 11

Suppose f(x) = x2 + 12x + 39. Find the smallest number b such that f is increasing on the interval   
 .

Accepted Answer

Question 12

Simplify the given expression.

Accepted Answer

The answer of Simplify the given expression.  ...

Question 13

If x and y are irrational numbers, then xy is always an irrational number.

Accepted Answer

A) True 
 B)False

Question 14

Sketch the graph of the function f(x) = -2x2 - 4x + 4.

Accepted Answer

Question 15

Suppose q(x) = 5x3 - 3x + 1, r(x) = 10x3 + 5. Write the expression
   as a sum of terms, each of which is a constant times a power of x.

Accepted Answer

5000x⁹ + 75

Question 16

Suppose 
   and    . Write the expression (q(x))2 p(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Accepted Answer

Question 17

Suppose x is a number such that 2x = 5. Evaluate 16x.

Accepted Answer

A)  625 
B)  20 
C)  80 
D)  40 
A)  625 
B)  20 
C)  80 
D)  40

Question 18

Find the distance between the points (-6, -8) and (0, -3).

Accepted Answer

A) 
   
B) 
   
C)  11 
D)  61 
A) 
   
B) 
   
C)  11 
D)  61

Question 19

Find the function which is graphed below.

Accepted Answer

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

Question 20

Find the maximum value of the function f defined by f(x) = 147 + 14x - x2.

Accepted Answer

A)  196 
B)  -196 
C)  98 
D)  -98 
A)  196 
B)  -196 
C)  98 
D)  -98

Simplify the given expression by writing it as a power of a single variable.

Suppose p(x) = x² + 8x + 6. Write the expression As a sum of terms, each of which is a constant times a power of h.

Suppose and . Write the expression (p + r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Solve using the quadratic formula.

What number should be added to complete the square of the expression? X² - 9x

Expand the indicated expression.

Find all real numbers x such that satisfy the indicated equation.

Find the function which is graphed below

Find two numbers whose sum equals 16.2 and whose product equals 62.

Write the expression in the form , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Suppose f(x) = x² + 12x + 39. Find the smallest number b such that f is increasing on the interval .

Simplify the given expression.

If x and y are irrational numbers, then xy is always an irrational number.

Sketch the graph of the function f(x) = -2x² - 4x + 4.

Suppose q(x) = 5x³ - 3x + 1, r(x) = 10x³ + 5. Write the expression as a sum of terms, each of which is a constant times a power of x.

Suppose and . Write the expression (q(x))²p(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Suppose x is a number such that 2^x = 5. Evaluate 16^x.

Find the distance between the points (-6, -8) and (0, -3).

Find the function which is graphed below.

Find the maximum value of the function f defined by f(x) = 147 + 14x - x².

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Exam 3: Linear, Quadratic, Polynomial, and Rational Functions

Simplify the given expression by writing it as a power of a single variable.

Suppose p(x) = x2 + 8x + 6. Write the expression As a sum of terms, each of which is a constant times a power of h.

Suppose and . Write the expression (p + r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Solve using the quadratic formula.

What number should be added to complete the square of the expression? X2 - 9x

Expand the indicated expression.

Find all real numbers x such that satisfy the indicated equation.

Find the function which is graphed below

Find two numbers whose sum equals 16.2 and whose product equals 62.

Write the expression in the form , where q is the denominator of the given expression and G and R are polynomials with deg R < deg q.

Suppose f(x) = x2 + 12x + 39. Find the smallest number b such that f is increasing on the interval .

Simplify the given expression.

If x and y are irrational numbers, then xy is always an irrational number.

Sketch the graph of the function f(x) = -2x2 - 4x + 4.

Suppose q(x) = 5x3 - 3x + 1, r(x) = 10x3 + 5. Write the expression as a sum of terms, each of which is a constant times a power of x.

Suppose and . Write the expression (q(x))2 p(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cxm.

Suppose x is a number such that 2x = 5. Evaluate 16x.

Find the distance between the points (-6, -8) and (0, -3).

Find the function which is graphed below.

Find the maximum value of the function f defined by f(x) = 147 + 14x - x2.

The Real Numbers

Functions and Their Graphs

Exponential Functions, Logarithms, and E

Trigonometric Functions

Trigonometric Algebra and Geometry

Sequences, Series, and Limits

Polar Coordinates, Vectors, and Complex Numbers

Prelude to Calculus

Filters

Suppose p(x) = x² + 8x + 6. Write the expression As a sum of terms, each of which is a constant times a power of h.

Suppose and . Write the expression (p + r)(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

What number should be added to complete the square of the expression? X² - 9x

Suppose f(x) = x² + 12x + 39. Find the smallest number b such that f is increasing on the interval .

Sketch the graph of the function f(x) = -2x² - 4x + 4.

Suppose q(x) = 5x³ - 3x + 1, r(x) = 10x³ + 5. Write the expression as a sum of terms, each of which is a constant times a power of x.

Suppose and . Write the expression (q(x))²p(x) as a ratio, with the numerator and denominator each written as a sum of terms of the form cx^m.

Suppose x is a number such that 2^x = 5. Evaluate 16^x.

Find the maximum value of the function f defined by f(x) = 147 + 14x - x².