Test Your Math Level with Wisdom Vector

Solve:  4x - 7 = 13 

• A) 4

• B) 5

• C) 3

• D) 6

Answer explanation

Explanation:

To solve for  x , add 7 to both sides:

 4x = 20 

Then, divide both sides by 4:

 x = 5 

Expand: (x+25)^2

E.g. ax^2+bx+c

Mathematical Equivalence

ON

Answer explanation

Explanation:
Using the formula (a+b)^2

which equals to a square plus

2ab plus b square

y=-1x-2

Answer explanation

Explanation:

The coefficient of the graph

is negative, and so the graph

should go down the x-axis.

And, the constant b in the form

y=ax+b is also less than zero

which means the graph is linear

equation moves left from in the

x-axis in the coordinate table

Reorder in the ascending order of numbers

• √16

• -4

• -√625

• 47

Answer explanation

Explanation

Pay attention to the square roots

Solve  x^2 + 4x + 8 = 0  and justify your solutions

Answer explanation

Explanation

Start by solving the equation using the quadratic formula: Discriminant

For  x^2 + 4x + 8 = 0 ,  a = 1 ,  b = 4 , and  c = 8

Find the discriminant:

Delta = b^2 - 4ac = 4^2 - 4(1)(8) = 16 - 32 = -16 

Since the discriminant is negative ( Delta = -16 ), the solutions will be complex numbers

Thus, the solutions are:

 x = -2+2i

and

x = -2-2i

Khorezmian Mathematician Muhammad ibn Musa Al-Khwarizmi is The Father of ........

Answer explanation

Explanation

Muhammad ibn Musa al-Khwarizmi is the most prominent and most important of the arabic mathematicians and is is known as the father of algebra to this day. The world 'algorithm' is taken from the Latin version of his name, which shows just how important his influence on mathematics was.

Every quadratic equation has two real solutions.

Do you agree or disagree? Justify your answer.

• Agree

• Disagree

• Agree to disagree

  (see the explanation)

Answer explanation

Explanation

Disagree. Not every quadratic equation has two real solutions. A quadratic equation in the form  ax^2 + bx + c = 0  will have two real solutions only if its discriminant (Delta = b^2 - 4ac) is greater than or equal to zero. If the discriminant is negative, the equation has two complex (non-real) solutions.

Conclusion:

We disagree with the statement because a quadratic equation may have no real solutions if the discriminant is negative.

A rectangular garden has a length (l) that is 4 meters longer than its width (w). The perimeter of the garden is 40 meters. What are the length and width of the garden?

• w=8 and l=18

• w=12 and l=10

• w=8 and l=12

• w=6 and l=18

Devide x^2+x-6 by 2x+6

• x+2

• 0.5x-1

• x-5

• x+1

Construct graph of the quadratic equation:

y=−2x^2 + 8x − 6