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

## Example Questions

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

What is ?

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 :

The equation has no solution.

Explanation:

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

Solve for x:

The equation has no solution.

Explanation:

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

Solve for :

The equation has no solution.

Explanation:

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

Solve for :

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

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

Given , find the value of  in .

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 .

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 :

5

1

0

3

4

4

Explanation:

First, subract 7 from both sides:

Then, divide each side by 3:

### Example Question #32 : Equations

30

37

36

40

44

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 ?

2

0

1