GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #2 : 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 forty-five and a number

The absolute value of the difference of a number and forty-five

The opposite of the difference of forty-five and a number

The opposite of the difference of a number and forty-five

Correct answer:

The opposite of the difference of a number and forty-five

Explanation:

 is the opposite of , which is the difference of a number and forty-five; therefore,  is the opposite of the difference of a number and forty-five.

Example Question #691 : Ged Math

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

Possible Answers:

Sixty-five subtracted from the opposite of a number

Sixty-five subtracted from the absolute value of a number

The opposite of the difference of a number and sixty-five

The absolute value of the difference of a number and sixty-five

Correct answer:

Sixty-five subtracted from the opposite of a number

Explanation:

 is sixty-five subtracted from , which is the opposite of a number; therefore,  is "sixty-five subtracted from the opposite of a number."

Example Question #5 : Word Problems In Algebra

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

Possible Answers:

The square of the difference of a number and thirty-four

Twice the difference of thirty-four and a number

Twice the difference of a number and thirty-four

The square of the difference of thirty-four and a number

Correct answer:

The square of the difference of a number and thirty-four

Explanation:

 is the square of , which is the difference of a number and thirty-four. Therefore,  is the difference of a number and thirty-four. 

Example Question #691 : Ged Math

A broken television cost $1.25 after a 99% discount.  What was the original price?

Possible Answers:

$12.50

$2.74

$125

$2.49

$250

Correct answer:

$125

Explanation:

Let x be the original price.  If the original price was given a discount, the value of the percent discount must be subtracted from the original price.

Example Question #3 : Word Problems In Algebra

Which of the following phrases can be represented by the algebraic expression  ?

Possible Answers:

Five decreased by the reciprocal of a number

Five less than by the reciprocal of a number

The reciprocal of the difference of a number and five 

The reciprocal of the difference of five and a number

Correct answer:

The reciprocal of the difference of five and a number

Explanation:

 is the reciprocal of , which is the difference of five and a number. Therefore,  is "the reciprocal of the difference of five and a number".

Example Question #691 : Ged Math

Sixty-four coins, all dimes and nickels, total $5.15. How many of the coins are dimes?

Possible Answers:

Correct answer:

Explanation:

Let  be the number of dimes. Then there are  nickels.

An equation can be set up and solved for  for the amount of money:

, the number of dimes.

Example Question #692 : Ged Math

Menu

Above is the menu for a coffee shop; there is no sales tax charged on purchases.

Greg is throwing a party and wants to buy eight large cappucinos, one for each attendee. He wants to buy all the butter croissants he can without spending more than $80 total. How many croissants will he be able to buy?

Possible Answers:

Correct answer:

Explanation:

Eight large cappucinos will cost Greg

.

This leaves him 

to buy croissants, which cost .

Let  be the number of croissants he buys. Then

Greg can buy up to 21 croissants.

Example Question #11 : Word Problems In Algebra

The French club wants to make and sell some pizzas for a fundraiser. It will cost $250 to rent the equipment to make the pizzas and $2 worth of ingredients to make each pizza. The pizzas will be sold for $4.50 apiece.

How many pizzas must be made and sold for the French club to make a profit of at least $500?

Possible Answers:

Correct answer:

Explanation:

Let  be the number of pizzas made and sold. Each pizza will require $2 worth of ingredients, so the ingredients in total will cost . Add this to the cost to rent the equipment and the cost will be .

The pizzas will cost $4.50 each, so the money raised will be .

The profit will be the difference between the revenue and the cost:

The French club wants a profit of at least $500, so we set up and solve the inequality:

At least 300 pizzas must be made and sold.

Example Question #11 : Word Problems In Algebra

Jeff, the barista at Moonbucks Coffee, is having a problem. He needs to make fifty pounds of Premium Blend coffee by mixing together some Kona beans, which cost $24 per pound, with some Ethiopian Delight beans, which cost $10 per pound. The Premium Blend coffee will cost $14.20 per pound. Also, the coffee will sell for the same price mixed as it would separately.

Let  be the number of pounds of Kona beans and  be the number of pounds of Ethiopian Delight beans. Which of the following systems of equations could you set up to solve this problem?

Possible Answers:

Correct answer:

Explanation:

The number of pounds of coffee beans totals 50, so one of the equations would be

.

 

The total price of the Kona beans is the unit price, $24 per pound, multiplied by the quantity,  pounds. This is  dollars. Similarly, the total price of the Ethiopian delight beans is  dollars, and the price of the mixture is  dollars. Add the prices of the Kona and Ethiopian Delight beans to get the price of the mixture:

 

These are the equations of the system.

Example Question #691 : Ged Math

Leslie has some nickels, some dimes, and some quarters. She has twice as many dimes as she has nickels, and she has four more quarters than she has dimes.  If she has  dimes, how much does she have, in terms of , in nickels, dimes, and quarters?

Possible Answers:

 dollars

 dollars

 dollars

 dollars

Correct answer:

 dollars

Explanation:

Since Leslie has twice as many dimes as nickels, the number of nickels she has is half the number of dimes, or half of . This means she has  nickels. Also, since she has four more quarters than dimes, she has  quarters.

She has

 in nickels,

 in dimes, and

 in quarters.

In total, the number of dollars Leslie has is

Leslie has  dollars.

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