Square's diagonal sat math geometry

Square's diagonal sat math geometry

How can I find the length of a diagonal of a square with a side length of 4?

http://www.satmath4u.com/threads/74-Square-s-diagonal-sat-geometry

Square's diagonal sat math geometry

How can I find the length of a diagonal of a square with a side length of 4?

Thanks

You need to apply Pythagoras' theorem to the right angled triangle ΔABD as follows:

.

Right triangle sat math

Right triangle sat math

How can I find the length of the side AC in the triangle ΔABC below (Figure is not drawn to scale):



The answer is here:
http://www.satmath4u.com/threads/73-Right-triangle-sat-math

SAT math geometry

SAT math geometry

I need help with the following SAT math geometry question:

Two sides of a triangle measure 6 and 14. Which one of the following could equal the length
of the third side?

(A) 7
(B) 11
(C) 19
(D) 21

Answer
http://www.satmath4u.com/threads/69-SAT-math-geometry

SAT mah geometry 2 parallel lines angles

"In the figure below, a Transversal crosses two parallel lines l and p. Find the value of x"




Answer: http://www.satmath4u.com/threads/70-Parallel-lines-angles

SAT math counting problems

SAT math counting problems


"In how many different ways can 4 students be seated in two seats?"

Answer
http://www.satmath4u.com/threads/63-SAT-math-counting-problems

SAT math probability question

SAT math probability question

If  and  are two distinct positive integers where . What is the probability that  equals 2?

Answer here:
http://www.satmath4u.com/threads/66-SAT-math-probability

SAT math Probability question

SAT math Probability question 


In a box of 9 marbles, 3 are white. Find the probability of three marbles chosen from the box are all white?

The answer is posted here:
http://www.satmath4u.com/threads/67-Probability-question

SAT Math: How to solve Age word problem

SAT Mathematics: How to solve Age word problem

The question is
"Four years ago, John was half as old as Ricky is now. If Ricky is five years older than John, how old is Jim now?"

and the answer (http://www.satmath4u.com/threads/59-SAT-math-word-problem)

Age problems ussually include the present ages of two or more people, in addition to their ages at particular past or future times. The key to solving these problems is to translate the sentences into equations using appropriate variables for the ages.

SAT math Exponential

SAT math Exponential

I'd like to help me to the following sat math question

Find the value of , given that .

Answer
http://www.satmath4u.com/threads/54-SAT-math-exponential

First take a look to this revision notes about Exponents

http://www.ibmaths4u.com/Exponential...20function.pdf

Starting with  

square both sides  

and finally you get  

SAT math Inequalities with Absolute Value

SAT math Inequalities with Absolute Value 

I need help with the following inequality:



Answer
http://www.satmath4u.com/threads/57-SAT-math-Inequalities-with-Absolute-Value



In order to solve this inequality we’ll set up two inequalities.
Not only will we change the sign of the number on the
right, but we’ll also change the direction of the inequality:

 and 


 and 

 and 

So, all real numbers  satisfy the inequality.

SAT math Absolute Value Inequality

I need help with the following inequality:



Answer
http://www.satmath4u.com/threads/58-SAT-inequality-with-absolute-value

SAT math Absolute Value Inequality



In order to solve this inequality we’ll set up two inequalities.

 or 

 or 


 or 

So, all real numbers  or  satisfy the inequality.

SAT math exponents

SAT math exponents

How can I simplify the following exponential expression:



Answer
http://www.satmath4u.com/threads/55-SAT-math-exponents

SAT math Rules of Exponents

If a,b are positive numbers, x,y are real numbers and m,n are positive integers then:

1)  Product Rule

2)  Basic Power Rule

3)  Power Rule for a product

4)  Power Rule for a Quotient

5) 

6) 

7) 


Therefore 

SAT math Factoring

SAT math Factoring

How can I factor the following expression:



Answer
http://www.satmath4u.com/threads/56-SAT-math-Factoring

Factoring or Factorising is the process of finding the factors of an expression.
The following expression is called a difference of two squares


So using the identity of the difference of two squares, we have:

SAT math Quadratic Equation

How can we find the value of the parameter  if the following equation



has one real root.

Answer
http://www.satmath4u.com/threads/48-SAT-math-Quadratic-Equation

The discriminant of the quadratic in terms of  is



For the quadratic equation to have one real solution, the discriminant  must be equal to zero

Therefore: