Math 4 Exam

Which of the following functions of x has the apparent range of y: y (less than or equal to) 0

(graph) light downward slope in fourth quadrant

What is the range of this function?

(wave graph) -2 (less than or equal to) y (less than or equal to) 4

Leanne correctly solved the equation x^2 +4x = 6 by completing the square. Which equation is part of her solution?

(x + 2)^2 = 10

Which one of the following expressions would be a step in solving 3x^2 + 12x + 10 = 0 by the process of completing the square?

(x + 2)^2 = 2/3

Which one of the following expressions would be a step in solving 4x^2 + 24x + 15 = 0 by the process of completing the square?

(x + 3)^2 = 21/4

Consider solving x^2 + 12 + 5 = 0 by completing the square. At which of the following equations will you arrive?

(x + 6)^2 = 31

Consider solving x^2 + 14x + 3 = 0 by completing the square. At which of the following equations will you arrive?

(x + 7)^2 = 52

Which of the following shows two solutions to the equation? 2x^2 + 3x - 2- = 0

-4 and 5/2

What quantity should be added to both sides of this equation to complete the square? x^2 - 8x = 5

16

What is the number that goes in the blanks? x^2 + -5x + __ = 20 + __

25/4

Solve by completing the square: x^2 - 6x - 5 = 0

3 +- (root)14

What is the number that goes in the blanks? x^2 + 14x + __ = -3 + __

49

If f(x) = x^2 + 2x +1 and g(x) = 3(x + 1)^2, which is an equivalent form of f(x) + g(x)

4x^2 + 8x + 4

If h(x) = 2x and g(x) = 3x^2 + 1, what is h(g(x))?

6x^2 + 2

What are the solutions to the equation below? 2x^2 - 11x - 21 = 0

7, -1.5

What is the number that goes in the blanks? n^2 + -9n + __ = 4 + __

81/4

Complete the square: p^2 + 6p + __

9

Which property of real numbers did John use for step 2? Given: x^2 + 5x + 6 = 0 Step 1: (x + 2)(x + 3) = 0 Step 2: x + 2 = 0 or x + 3 = 0 Step 3: x = -2 or x = -3

Zero product property of multiplication

In order to complete the square, which of the following is needed to fill in the blank? (x^2 + b/a x + __)

b^2/4a^2

Which function is the inverse of f(x) = x^3 + 6?

f^-1(x) = 3(root)x-6

Which of the following is the inverse of f(x) = 2x - 3/5?

f^-1(x) = 5x +3/2

Which is the inverse of the function f(x) = x - 9?

f^-1(x) = x + 9

What is the solution set of the quadratic equation 8x^2 + 2x + 1 = 0

no real solution

Solve: 2x^2 + 8x - 2 = 22

x = 2 or x = -6

What are the solution to the equation 3x^2 + 3 = 7x

x = 7 + (root)13/6 or x = 7 - (root)13/6

Which represents the next correct step Katie should perform? Step 1: x^2+4x-6 = 0 Step 2: x^2 +4x = 6

x^2 + 4x + 4 = 6 + 4

Which expression represents f(g(x)) if f(x) = x^2 - 1 and g(x) = x + 3

x^2 + 6x + 8

If f(x) = x^2 - x and g(x) = x - 1, what is f(g(x))?

x^2 - 3x + 2

What is the solution set for (x - 2)^2 = 64

{-6, 10}