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Example Questions
Example Question #1 : Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression ?
Twenty-four decreased by the opposite of a number
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 absolute value of a number
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 ?
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 opposite of the difference of a number and fifty-four
The absolute value of the product of a number and negative fifty-four
The absolute value of the difference of a number and fifty-four
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 #2 : 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 three
Three decreased by the square of a number
The square of the difference of three and a number
The square of a number decreased by three
Three decreased by the square of a number
is three decreased by
, which is the square of a number; therefore,
is three decreased by the square of a number.
Example Question #1 : 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 opposite of the difference of a number and forty-five
The opposite 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 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 #692 : Ged Math
Which of the following phrases can be written as the algebraic expression ?
The opposite of the difference of a number and sixty-five
Sixty-five subtracted from the opposite of a number
Sixty-five subtracted from the absolute value of a number
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 #1 : Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression ?
Twice the difference of a number and thirty-four
The square of the difference of thirty-four and a number
Twice the difference of thirty-four and a number
The square of the difference of a number and thirty-four
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 #2 : Word Problems In Algebra
A broken television cost $1.25 after a 99% discount. What was the original price?
$125
$2.74
$12.50
$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 less than by the reciprocal of a number
Five decreased by the reciprocal of a number
The reciprocal of the difference of five and a number
The reciprocal of the difference of a number and five
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 #141 : Algebra
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 #1 : Word Problems In Algebra
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.
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