Math 4 Exam with 100% Correct Answers
Complete the square: p^2 + 6p + __ - correct answer-9
In order to complete the square, which of the following is needed to fill in the blank? (x^2
+ b/a x + __) - correct answer-b^2/4a^2
What quantity should be added to both sides of this equation to complete the square?
x^2 - 8x = 5 - correct answer-16
Leanne correctly solved the equation x^2 +4x = 6 by completing the square. Which
equation is part of her solution? - correct answer-(x + 2)^2 = 10
Which represents the next correct step Katie should perform?
Step 1: x^2+4x-6 = 0
Step 2: x^2 +4x = 6 - correct answer-x^2 + 4x + 4 = 6 + 4
Which of the following shows two solutions to the equation?
2x^2 + 3x - 2- = 0 - correct answer--4 and 5/2
What is the solution set for (x - 2)^2 = 64 - correct answer-{-6, 10}
What are the solutions to the equation below?
2x^2 - 11x - 21 = 0 - correct answer-7, -1.5
Solve: 2x^2 + 8x - 2 = 22 - correct answer-x = 2 or x = -6
What is the solution set of the quadratic equation 8x^2 + 2x + 1 = 0 - correct answer-no
real solution
What are the solution to the equation 3x^2 + 3 = 7x - correct answer-x = 7 + (root)13/6
or x = 7 - (root)13/6
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 - correct answer-Zero product property of multiplication
What is the number that goes in the blanks?
x^2 + -5x + __ = 20 + __ - correct answer-25/4
Complete the square: p^2 + 6p + __ - correct answer-9
In order to complete the square, which of the following is needed to fill in the blank? (x^2
+ b/a x + __) - correct answer-b^2/4a^2
What quantity should be added to both sides of this equation to complete the square?
x^2 - 8x = 5 - correct answer-16
Leanne correctly solved the equation x^2 +4x = 6 by completing the square. Which
equation is part of her solution? - correct answer-(x + 2)^2 = 10
Which represents the next correct step Katie should perform?
Step 1: x^2+4x-6 = 0
Step 2: x^2 +4x = 6 - correct answer-x^2 + 4x + 4 = 6 + 4
Which of the following shows two solutions to the equation?
2x^2 + 3x - 2- = 0 - correct answer--4 and 5/2
What is the solution set for (x - 2)^2 = 64 - correct answer-{-6, 10}
What are the solutions to the equation below?
2x^2 - 11x - 21 = 0 - correct answer-7, -1.5
Solve: 2x^2 + 8x - 2 = 22 - correct answer-x = 2 or x = -6
What is the solution set of the quadratic equation 8x^2 + 2x + 1 = 0 - correct answer-no
real solution
What are the solution to the equation 3x^2 + 3 = 7x - correct answer-x = 7 + (root)13/6
or x = 7 - (root)13/6
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 - correct answer-Zero product property of multiplication
What is the number that goes in the blanks?
x^2 + -5x + __ = 20 + __ - correct answer-25/4