Quiz about Quadratics Test Review

Question 1

Which method of solving quadratics would you use to solve the following:

$$12x^2-7\ =41$$

Accepted Answer

Square Roots

Answer

Factoring when a = 1

Answer

Completing the Square

Answer

Factoring when a > 1

Question 2

Solve

3x² - 192 = 0

Accepted Answer

-8 or 8

Answer

-32 or 32

Answer

No Solution

Answer

-64 or 64

Question 3

Solve a² + 10a - 24 = 0

Accepted Answer

a = {-12, 2}

Answer

a = {2, -12}

Answer

a = {4, 6}

Answer

a = {-6, -4}

Question 4

Solve (4x + 3)(x - 6) = 0

Accepted Answer

x = {-3/4, 6}

Answer

x = {-3, 6}

Answer

x = {3/4, -6}

Answer

x = -3/4, -6}

Question 5

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

Accepted Answer

(x + 4)² = 30

Answer

(x + 4)² = 14

Answer

x² + 8x - 14 = 0

Answer

x² + 8x + 4 = 18

Question 6

Why would the square root method be best to solve this equation?

5b² - 4 = 41

Accepted Answer

There is no "b" term. (x term)

Answer

The is no "a" (x² term).

Answer

There is no "c" term.

Answer

We need to find two solutions.

Question 7

Which words mean the same thing as "roots?"

(Choose more than one)

Accepted Answer

x intercepts

Accepted Answer

solutions

Accepted Answer

zeros

Answer

axis of symmetry

Question 8

Which method would be most efficient when solving this problem?

a² + 2a - 24 = 0

Accepted Answer

Factoring

Answer

Square Root

Question 9

Solve:
$$5b^2-4\ =\ 41$$

Accepted Answer

$$b\ =\ \pm3$$

Answer

$$b=\pm9$$

Answer

$$b\ =\ \pm8$$

Answer

No Solution

Question 10

Which method is MOST EFFICIENT to solve:
8x² - 6 = 0

Accepted Answer

Square Root Method

Answer

Greatest Common Factor (GCF)

Answer

Complete the Square

Answer

Quadratic Formula

Question 11

Which method is MOST EFFICIENT to solve:
5x² -3x - 7 = 0

Accepted Answer

Quadratic Formula

Answer

Square Root Method

Answer

Greatest Common Factor (GCF)

Answer

Complete the Square

Question 12

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

Accepted Answer

-8 & 4

Answer

-10 & -4

Answer

-4 & 10

Answer

8 & -4

Question 13

What are the solutions to x² - 3x = 5?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 14

ax²+bx+c=0 is the standard form of a quadratic equation.

Accepted Answer

True

Answer

False

Question 15

How many solutions will this quadratic $$x^2-5x+7=0$$ ?

Accepted Answer

No real solutions

Answer

2 real solutions

Answer

1 solution

Answer

3 solutions

Question 16

What are the simplified solutions of the quadratic equation $$x^2=4x-2$$ ? Select your best answers. Use quadratic formula
This is a multi-select problem.

Accepted Answer

$$2+\sqrt{2}$$

Accepted Answer

$$2-\sqrt{2}$$

Answer

$$2-\sqrt{8}$$

Answer

$$2+\sqrt{8}$$

Question 17

Which method would you want to use to solve the equation below?

$$3x^2+5x+4$$

Accepted Answer

Quadratic Formula

Answer

Completing the Square

Question 18

To solve the equation by the Quadratic Formula, what would be your first step?

$$2x^2+8x=5$$

Accepted Answer

Subtract 5 from both sides, set it equal to 0

Answer

Divide the 8 by 2

Answer

Divide the 8 by 2 and square it

Answer

Multipiy 2 and 5

Question 19

Solve by factoring.

Select all answers that apply:

y² + 6y = 7

Accepted Answer

-7

Accepted Answer

1

Answer

-6

Answer

7

Answer

-1

Question 20

What are the x-intercept(s) of this graph?

Accepted Answer

1 and 3

Answer

-1 and -3

Answer

-1 and 3

Answer

1 and -3

Question 21

What are the coordinates of the y-intercept?

Accepted Answer

(0, -3)

Answer

(-3, 0)

Answer

(2, 1)

Answer

y=-3

Question 22

What is the significance of the ordered pair (2, -4) to the graph?

Accepted Answer

it is the vertex

Answer

it is the y-intercept

Answer

it is the axis of symmetry

Answer

it is the x-intercept

Question 23

What is the equation for axis of symmetry?

Accepted Answer

x = 3

Answer

y = 3

Answer

x = 5

Answer

x = 1

Question 24

Does this graph have a maximum or minimum value?

Accepted Answer

minimum

Answer

maximum

Answer

neither

Answer

both

Quadratics Test Review

25 questions

Solve
3x² - 192 = 0

Solve a² + 10a - 24 = 0

Solve (4x + 3)(x - 6) = 0

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

What value of "c" would create a
perfect square trinomial?
x² + 10x + _____ = 17

Why would the square root method be best to solve this equation?

5b² - 4 = 41

Which words mean the same thing as "roots?"

(Choose more than one)

Which method would be most efficient when solving this problem?
a² + 2a - 24 = 0

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Quadratics Test Review

25 questions

Solve 3x2 - 192 = 0

Solve a2 + 10a - 24 = 0

Solve (4x + 3)(x - 6) = 0

Mike solved the equation x2 + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

What value of "c" would create a perfect square trinomial?x² + 10x + _____ = 17

Why would the square root method be best to solve this equation?5b2 - 4 = 41

Which words mean the same thing as "roots?" (Choose more than one)

Which method would be most efficient when solving this problem?a2 + 2a - 24 = 0

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve
3x² - 192 = 0

Solve a² + 10a - 24 = 0

Mike solved the equation x² + 8x = 14 by completing the square. Which of the following equations is part of the correct solution.

What value of "c" would create a
perfect square trinomial?
x² + 10x + _____ = 17

Why would the square root method be best to solve this equation?

5b² - 4 = 41

Which words mean the same thing as "roots?"

(Choose more than one)

Which method would be most efficient when solving this problem?
a² + 2a - 24 = 0