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2/20/24 Test on Factoring and more

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.

While deciphering an old scroll found in the depths of a forgotten temple, you come across a mysterious formula: (2x3 - 4x2 + 6x - 8) ÷ (x - 1). To further your research into ancient mathematics, you need to simplify this equation. What is the simplified form of the equation?

a)

2x2 - 2x + 4 -4/x-1

b)

2x3 - 4x + 6

c)

2x2 - 4x + 6 - 8/x-1

d)

2x3 - 4x2 + 6x - 8

2.
a)
x - 7
b)
x2 - 7
c)
x + 7
d)
x2 + 3x - 54
3.

What indicates that one number is a divisor of another?

a)

It divides the number completely without leaving any remainder.

b)

It divides the number leaving a remainder greater than zero.

4.

Embark on a mathematical quest! Solve the following puzzle: 2x2-4x+2=0. Which key unlocks the door to the solution?

a)

x=1  x=-1

b)

x=1  x=1

c)

x=1  x=-2

d)

x=1  x=-1/2

5.

Dive into the realm of geometry! What are those captivating green dots known as?

a)

axis of symmetry

b)

vertex

c)

focus points

d)

roots or x-intercepts

6.

🌟 Math Wizard Challenge 🌟

Can you master the art of factorization? Try this spell:

4x² + 12x + 8

a)

4(x+1)(x+2)

b)

(4x+4)(x+1)

c)

(4x+8)(x+2)

d)

(2x+2)(2x+3)

7.

🚀 In the realm of algebra, if 𝒙2+𝟔𝒙+𝟗 dissolves into 𝒙+𝟑, what arcane remainder is left behind?

a)

0

b)

3

c)

6

d)

9

8.

Embark on a journey to unlock the secrets of quadratic equations! What is the mystical method to unveil its roots?

a)

Consult the ancient scrolls for guidance

b)

Invoke the quadratic formula to reveal the roots

c)

Plot the equation's course to find where it meets the x-axis

d)

Seek the wisdom of the forest elves

9.

Exploring the universe of quadratic equations, what is the highest number of roots these equations can have?

a)

1

b)

2

c)

3

d)

None

10.

🚀 Embark on another math quest! Use the enchanted chart to reveal the mystical roots. Can you identify them?

a)

3 and -5

b)

1 and 3

c)

3 and 5

d)

-3 and -5

11.

🚀 Embark on an adventure through the realm of quadratics! Can you unlock the mystery by solving this equation? x2 + 6x + 9 = 0. What are the magical roots?

Is this a max or min

a)

-3 and min

b)

3 and min

c)

-3 and max

d)

3 and max

12.

What is the shape of the graph produced by a quadratic equation?

a)

A straight line

b)

An ellipse

c)

A parabola

d)

A hyperbola