Algebra Unit 3B Lesson 2

What are the solutions of 3x2 + 14x + 16 = 0? : A.

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b? : b = -8

Which function has zeros at x = 10 and x = 2? : f(x) = x2 - 12x + 20

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width. Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic? : w(w + 2) = 48

Which is a solution to (x - 3)(x + 9) = -27? : x = 0

What are the solutions to the equation?x2 + 6x = 40 : x = −10 and x = 4

What are the solution(s) to the quadratic equation x2 - 25 = 0? : x = 5 and x = -5

Which are the roots of the quadratic function f(b) = b2 - 75? Check all that apply. : 1and 2

What value of c makes x2 − 24x + c a perfect square trinomial? : 144

Solve x2 + 14x = −24 by completing the square.What is the solution set of the equation? : {−12, −2}

What value of c makes x2 + 6x + c a perfect square trinomial? : 9

Which are the solutions of x2 = -7x - 8? : D.

The first few steps in solving the quadratic equation 8x2+80x=-5 by completing the square are shown. : 200

Atraeus is solving the quadratic equation by completing the square.7x2 - 14x + 6 = 0 7x2 - 14x = -6 A(x2 - 2x) = -6What is the value of A? : 7

What are the zeros of the quadratic function f(x)=6x2+12x-7 : Not d

What are the zeros of the quadratic function f(x)=16x2+32x-9 : B.

What should gio do first. : A.

What should maya do first : C.

What is the value of the discriminant for the quadratic equation -3 = -x2 + 2x?Discriminant = b2 - 4ac : not c

What are the values of a, b, and c in the quadratic equation 0 = 5x - 4x2 - 2? : a = -4, b = 5, c = -2

What is the value of the discriminant for the quadratic equation 0 = x + 2 + x2?Discriminant = b2 - 4ac : -7

Which shows the correct substitution of the values a, b, and c from the equation -2 = -x + x2 - 4 into the quadratic formula?Quadratic formula: x = : not c

What are the values of a, b, and c in the quadratic equation 0 = x2 - 3x - 2? : a =1/2 , b = -3, c = -2

Some of the steps in the derivation of the quadratic formula are shown.Step 3: -c + = aStep 4a: -c + = aStep 4b: + = aWhich best explains or justifies Step 4b? : converting to a common denominator

What is the discriminant of the quadratic equation 3 - 4x = -6x2? : not a

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x = .Which best describes how many real number solutions the equation has? : not b or c

A quadratic equation has a discriminant of 12. Which could be the equation? : 0 = 2x2 + 6x + 3

Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.What are the solutions to the equation? : x = -6, 1

A quadratic equation of the form 0 = ax2 + bx + c has a discriminant value of -16. How many real number solutions does the equation have? : not 2 or 1

What is the positive solution to the equation 0 = -x2 + 2x + 1?Quadratic formula: x = : not b

Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation? : {-7, 1}

What is a solution to (x + 6)(x + 2) = 60? : x = 4

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.What are the dimensions of the cropped photo? : 9 inches by 9 inches

Which is the graph of a quadratic equation that has a negative discriminant? : D.

Solve x2 − 24x = −80 by completing the square.What is the solution set of the equation? : {4, 20}

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of real number solutions the equation has? : The discriminant is equal to 0, which means the equation has one real number solution.

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. Which function could Heather be writing? : f(x) = -x2 - 12x - 36

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation? : -5