Algebra 1 Quadratic. Unit Test.

Which equation has an a-value of -2, a b-value of 1, and a c-value of 3?

0 = -2x^2 + x + 3

A quadratic equation of the form 0 = ax^2 + bx + c has one real number solution. Which could be the equation?

0 = -2x^2 - 4x - 2

The first step in solving the quadratic equation -5x2 + 8 = 133 is to subtract___from each side.

8

Sergey is solving 5x2 + 20x - 7 = 0. Which steps could he use to solve the quadratic equation? Check all that apply.

B C D

Which is a solution to the equation? (x − 3)(x − 5) = 35

x=10

Solve x^2 - 8x = 20 by completing the square. Which is the solution set of the equation?

{-2,10}

Solve x^2 − 24x = −80 by completing the square. What is the solution set of the equation?

{4,20}

Clara writes the equation (x - 13)(x + 8) = 196 to solve for the missing side length of a triangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the triangle?

28

Mariya is solving the quadratic equation by completing the square. 4x2 - 20x + 3 = 0 4x2 - 20x = -3 A(x2 - 5x) = -3 What is the value of A?

4

The first few steps in solving the quadratic equation 5x^2 + 27x = 14 − 13x by completing the square are shown. 5x^2 + 27x = 14 − 13x 5x^2 + 40x = 14 5(x^2 + 8x) = 14 Which is the best step to do next to solve the equation by completing the square?

5(x2 + 8x + 16) = 94

What is the value of the discriminant, b^2 − 4ac, for the quadratic equation 0 = −2x^2 − 3x + 8, and what does it mean about the number of real solutions the equation has?

The discriminant is 73, so the equation has 2 real solutions.

What values of b satisfy 4(3b + 2)^2 = 64?

b = 2/3 and b = -2

Which function has real zeros at x = −10 and x = −6?

f(x) = x^2 + 16x + 60

The function g(x) is defined as g(x) = 6x2 + 23x - 4. When does g(x) = 0?

x = -4 or x = 1/6

What are the solutions to the quadratic equation 4(x + 2)^2 = 36

x = −5 and x = 1