SSAT Middle Level Math : How to find the solution to an equation

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #31 : Ssat Middle Level Quantitative (Math)

 

What is ?

Possible Answers:

Correct answer:

Explanation:

First add 2 to both sides.  Then subtract 4 from both sides.  This gives an answer of 9.

Example Question #31 : Equations

Solve for :

Possible Answers:

The equation has no solution.

Correct answer:

Explanation:

 

Example Question #32 : How To Find The Solution To An Equation

Solve for x:

Possible Answers:

The equation has no solution.

Correct answer:

Explanation:

 

Example Question #33 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

The equation has no solution.

Correct answer:

Explanation:

Example Question #34 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

Correct answer:

Explanation:

The goal of solving an equation is to solve for the variable. In order to do this, we must isolate the variable on one side of the equal sign with all other numbers on the other side of the equal side. When doing this, you reverse the usual order of operations so that subtraction and addition come first. Therefore we must remove the 5 first. In order to do this, you do the opposite operation. Since the opposite of subtraction is addition, we add 5 to each side of the equation.

-5 plus 5 cancel each other out. What is left should be this

Next, since  represents a multiplication problem, we divide by 2 in order to find out what  is.

Which should give you

The answer is 

Example Question #35 : How To Find The Solution To An Equation

Given , find the value of  in .

Possible Answers:

Correct answer:

Explanation:

To find the value of  in , insert the value of  in to the equation to obtain  can then be solved for using arithmetic: 

 

Example Question #31 : How To Find The Solution To An Equation

If , find the value of  in .

Possible Answers:

Correct answer:

Explanation:

The value of  can be calculated by inserting the value of  into the equation. The equation then becomes .

Example Question #31 : How To Find The Solution To An Equation

Solve for :

Possible Answers:

5

1

0

3

4

Correct answer:

4

Explanation:

First, subract 7 from both sides: 

Then, divide each side by 3:

Example Question #32 : Equations

Possible Answers:

30

37

36

40

44

Correct answer:

36

Explanation:

Cross multiply:

Distribute:

Combine like terms:

Divide:

Therefore,

Example Question #38 : How To Find The Solution To An Equation

If  for all values of , then what is the value of ?

Possible Answers:

2

0

1

Correct answer:

1

Explanation:

Let's get rid of the denominator by multiplying both sides of the equation by :

Divide both sides of the equation by :

If this method is confusing to you, you can also find the answer without doing any calculations. The equation is really saying that divided by some quantity is still . This is only true if is divided by 1. Any other number would change the value of .

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