Question 1

In which scenario can you use the difference of squares formula?

Accepted Answer

a² - b² = (a + b)(a - b)

Answer

a² + b² = 2ab

Answer

a² + b² = (a + b)(a - b)

Answer

a² - 2ab + b² = (a - b)²

Question 2

What does it mean if two brackets in a factorized form are the same?

Accepted Answer

It indicates a repeated root in the quadratic equation

Answer

It means the equation has no solution

Answer

It shows there are multiple factors

Answer

It suggests the equation can be simplified further

Question 3

Which of the following is NOT an example of factorization?

Accepted Answer

Rewriting 5 + 3 as 8

Answer

Writing 6x² as 3 * 2 * x²

Answer

Factoring x² - 4 as (x - 2)(x + 2)

Answer

Expressing 2x + 4 as 2(x + 2)

Question 4

What is the factored form of x² + x?

Accepted Answer

x(x + 1)

Answer

x²(x + 1)

Answer

(x + 1)(x + 1)

Answer

x² + 1

Question 5

In the expression 3x² + 9x, what is the highest common factor that can be factored out?

Accepted Answer

3x

Answer

x

Answer

9

Answer

3

Question 6

When given a quadratic expression like 3x² + 4x - 6, what is the goal of factorization?

Accepted Answer

To express it in the form of two brackets

Answer

To simplify it to a single term

Answer

To find the maximum value

Answer

To convert it into a fraction

Question 7

What is the process of factorizing in mathematics?

Accepted Answer

Moving outside common terms into brackets

Answer

Dividing numbers

Answer

Multiplying numbers together

Answer

Adding terms together

Question 8

What is essential when factoring out a negative from an expression?

Accepted Answer

The signs inside the brackets need to change

Answer

The constants need to be added

Answer

The expression cannot have any constant

Answer

The variable must be squared

Question 9

Which of the following is a correct factorization of x² - 9?

Accepted Answer

(x + 3)(x - 3)

Answer

(x + 3)(x + 3)

Answer

(x - 9)(x + 9)

Answer

x(x - 9)

Question 10

What is the standard form of a quadratic equation?

Accepted Answer

ax² + bx + c = 0

Answer

x² - c = 0

Answer

ax + b = 0

Answer

x² + 3x + 2 = 0

Question 11

What does the axis of symmetry in a parabola represent?

Accepted Answer

A vertical line that divides the parabola into two mirror-image halves

Answer

The maximum value of the function

Answer

A point on the graph

Answer

The vertex of the parabola

Question 12

In the graph of y = x², what is the turning point?

Accepted Answer

The origin (0, 0)

Answer

(0, 0)

Answer

(0, 1)

Answer

(1, 1)

Question 13

When a quadratic opens upwards, what type of turning point does it have?

Accepted Answer

Minimum

Answer

No turning point

Answer

Maximum

Answer

Inflection

Question 14

If the quadratic equation is in the form y = a(x - h)² + k, what do h and k represent?

Accepted Answer

The vertex of the parabola

Answer

The y-intercept

Answer

The x-intercepts

Answer

The axis of symmetry

Question 15

What happens to the graph of y = x² when you replace it with y = x² + 3?

Accepted Answer

It moves up by 3 units

Answer

It moves down by 3 units

Answer

It moves left by 3 units

Answer

It moves right by 3 units

Question 16

What does the negative sign before the quadratic indicate in y = -x²?

Accepted Answer

The graph opens downwards

Answer

The graph is symmetric

Answer

The graph opens upwards

Answer

The graph has no turning point

Question 17

Which method can be used to find the x-intercepts of a quadratic equation?

Accepted Answer

Factoring or using the quadratic formula

Answer

Finding the vertex only

Answer

Completing the square only

Answer

Graphing only

Question 18

How does a dilation affect the graph of a quadratic?

Accepted Answer

It stretches or compresses the graph

Answer

It rotates the graph

Answer

It reflects the graph across the x-axis

Answer

It shifts the graph left or right

Question 19

What does it mean to 'complete the square' in relation to quadratics?

Accepted Answer

Rewriting a quadratic in the form (x - p)² + q

Answer

Identifying the vertex

Answer

Finding the x-intercepts

Answer

Solving for x using factoring

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