Question 1

The table below represents the values of a quadratic equation in standard form.

x
y
-1
39
0
28
1
19
2
12
3
7
4
4
5
3
6
4
7
7
8
12
9
19

What does the table tell you about the solution(s)?

Question 2

A quadratic function is graphed below.

What is the solution set for this equation?

Question 3

Which relation below appears to have 2 distinct real roots?








Question 4

Solve the equation below by using the inverse operation?

5x2 = 110

Question 5

Which of the following represents the correct use of the quadratic formula needed to solve the equation below?

0 = 2x2 + 5x − 7




Question 6

Juanita is using the factoring method to solve the given quadratic equation.

Given: 2x2 − 6 = 0
Step 1: 2x2 − 6 = 0
Step 2:
 
 

Which of the equations below represents the second step of the solution process?

  1. (2x − 3)(x + 2) = 0

  2. 2x2 + x = 0

  3. 2x2 = 6 − x

  4. (2x + 1)(x − 6) = 0

Question 7

Which of the following descriptions best describe the roots of the equation 2x2 − 3x + 2 = 0?

Question 8

Part of a quadratic function is graphed below.

Based on this graph, which of the following are the zeroes of the equation?

Question 9

Solve the quadratic equation: x2 − 8x − 20 = 0 by completing the square.

Question 10

Which of the following describes the solution set for the quadratic inequality x2 − x − 12 < 0?

Question 11

Which of the following are the roots for the equation f(x) = x2 + 2x + 3?

  1. -1 ± i√2

  2. 1 ± i√2

  3. -1 ± √2

  4. -1 ± 2i√2

Question 13

The table below represents the values of the equation y = ax2 + bx + c.

x
y
0
9.5
1
5
2
1.5
3
-1
4
-2.5
5
-3
6
-2.5
7
-1
8
1.5
9
5

Based on this table, the roots of this function are between what x-values?

  1. between 2 and 3 or
    between 7 and 8

  2. between 0 and 1 or
    between 8 and 9

  3. between 3 and 4 or
    between 5 and 6

  4. between 3 and 4 or
    between 6 and 7

Question 14

Which of the following represents the solutions to the equation 2x2 + 17 = -1?

  1. ±4

  2. ±3i

  3. ±i√3

  4. ±3

Question 15

If zero is the value of the discriminant for the equation ax2 + bx + c = 0, which of the following graphs best represent f(x) = ax2 + bx + c?

A.
C.
B.
D.

Question 16

Below is a blueprint of a deck Mr. Bedford plans to build. He wants the length of the deck to be twice as long as the width. He plans to leave a 6 foot by 9 foot rectangle opening in the corner for a large tree and other plants. If he has 504 square feet of material for the floor of the deck, how wide should he make the deck?

Question 17

The equation of the parabola pictured below is y = 2x2 − 11x + 7.

Which inequality best represents this graph?

  1. y < 2x2 − 11x + 7

  2. y ≥ 2x2 − 11x + 7

  3. y ≤ 2x2 − 11x + 7

  4. y > 2x2 − 11x + 7

Question 18

For what value of b will 4x2 + bx + 9 = 0 have exactly one distinct real root?

Question 19

During a test, Dave decided to check his solution of a quadratic equation by the graphing method. If his solution is correct, which of the following could be the corresponding graph?

A.
C.
B.
D.

Question 20

What is the solution set for (5x − 3)2 = 81?

Question 21

At a large firework show, aerial shell fireworks are launched from ground level using a mortar. The mortar sends the fireworks into the sky at 263 feet per second. The equation h = 263s − 16s2 models the height of the fireworks where h represents the height of the fireworks after s seconds. If the fireworks did not burst, after how many seconds will it take to hit the ground?

Question 22

The complex conjugate 3±i√5 could be the complex solutions for which of the following equations?

  1. x2 + 14 = 6x

  2. x2 − 14 = -6x

  3. x2 + 16 = 8x

  4. x2 + 29 = 9x

Question 23

Haywood and Betty noticed that their solutions for 3x2 + 14x − 5 = 0 did not match. Below is their work.

Who made the error and which line did the error occur?

Question 24

A student is using the quadratic formula to find the roots of a quadratic function. The student's work is shown below.

Which of the following functions is the student calculating?

  1. f(x) = -3x2 + 4x − 2

  2. f(x) = 4x2 + 3x − 2

  3. f(x) = 3x2 − 4x − 2

  4. f(x) = 4x2 − 3x − 2

Question 25

Xavier is solving the equation 0 = 6x2 − 7x + 2 by the factoring method. Which of the following shows the equation in factored form?