GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #75 : Solving For The Variable

Evaluate .

Possible Answers:

Correct answer:

Explanation:

Solve this equation for  by isolating the  on the left side of the equation. This can be done by first,multiplying 5 by each expression within the parentheses:

Subtract from both sides:

Collect like terms by subtracting coefficients of :

Subtract 15 from both sides:

Divide both sides by 3:

,

the correct response.

Example Question #124 : Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

Start by subtracting both sides by .

Square both sides of the equation to get rid of the square root.

Add  to both sides.

Divide both sides of the equation by .

Example Question #125 : Algebra

What is the value of  in the equation ?

Possible Answers:

Correct answer:

Explanation:

Start by adding  to both sides.

Square both sides of the equation to get rid of the square root.

Subtract  from both sides.

Divide both sides by .

Example Question #124 : Algebra

Rearrange the following equation so that it is solved for "b"

Possible Answers:

Correct answer:

Explanation:

Rearrange the following equation so that it is solved for "b"

This problem may look intimidating, but don't be overwhelmed! Read the problem carefully, all we need to do is get the b all by itself.

To do this, let's first multiply both sides by 4x.

Next, we simply need to divide both sides by 3 to get the b all by itself.

One last thing, we can simplify the denominator and get rid of our three by dividing a three out of the 12 and the 6.

This yields:

Example Question #681 : Ged Math

Solve for x

Possible Answers:

Correct answer:

Explanation:

Starting with

We must get rid of the fraction by multiplying both sides by (2x-1)

The terms cancel on the right, and we must distribute on the left

Simplify 

Subtract x from both sides to get the variables all on one side

combine like terms

Now add 3 to both sides to get the term with the variable by itself

Simplify

And finally, divide both side by 5 to get the variable all by itself

Example Question #681 : Ged Math

Solve: 

Possible Answers:

Correct answer:

Explanation:

Subtract the 8 from the left and add (subtract) from the right:

Simplify:

Divide by 10:

Simplify:

Example Question #82 : Solving For The Variable

Solve: 

Possible Answers:

Correct answer:

Explanation:

Step 1: Move the constant from the left to the right:

Step 2: Simplify:

Step 3: Divide by the coefficient on the left hand side to both sides of the equation:

Simplify:

Step 4: Take the square root of both sides:

Simplify:

Example Question #682 : Ged Math

Which of the following phrases can be written as the algebraic expression  ?

Possible Answers:

The absolute value of a number decreased by twenty-four

The opposite of the difference of a number and twenty-four

Twenty-four decreased by the absolute value of a number

Twenty-four decreased by the opposite of a number

Correct answer:

Twenty-four decreased by the absolute value of a number

Explanation:

 is twenty-four decreased by , which is the absolute value of a number, so  is "twenty-four decreased by the absolute value of a number."

Example Question #1 : Word Problems In Algebra

Which of the following phrases can be written as the algebraic expression  ?

Possible Answers:

The absolute value of the difference of a number and fifty-four

The opposite of the product of a number and negative fifty-four

The absolute value of the product of a number and negative fifty-four

The opposite of the difference of a number and fifty-four

Correct answer:

The absolute value of the difference of a number and fifty-four

Explanation:

 is the absolute value of , which is the difference of a number and fifty-four; therefore,  is "the absolute value of the difference of a number and fifty-four."

Example Question #3 : Word Problems In Algebra

Which of the following phrases can be written as the algebraic expression  ?

Possible Answers:

The square of the difference of three and a number

Three decreased by the square of a number

The square of the difference of a number and three

The square of a number decreased by three

Correct answer:

Three decreased by the square of a number

Explanation:

 is three decreased by , which is the square of a number; therefore,  is three decreased by the square of a number.

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