All GED Math Resources
Example Questions
Example Question #2 : Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression ?
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
The opposite of the difference of a number and forty-five
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 ?
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
Sixty-five subtracted from the opposite of a number
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 ?
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
The square of the difference of a number and thirty-four
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?
$12.50
$2.74
$125
$2.49
$250
$125
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 ?
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
The reciprocal of the difference of five and a number
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?
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
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?
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?
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?
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?
dollars
dollars
dollars
dollars
dollars
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.