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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?
The absolute value of a number decreased by twenty-four
Twenty-four decreased by the opposite of a number
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, sois "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 opposite of the product of a number and negative fifty-four
The absolute value of the difference of a number and 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
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 #3 :Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression?
The square of the difference of three and a number
The square of the difference of a number and three
The square of a number decreased by three
Three decreased by the square of a number
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 #4 :Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression?
The opposite of the difference of a number and forty-five
The absolute value of the difference of forty-five and a number
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 #5 :Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression?
Sixty-five subtracted from the absolute value of a number
Sixty-five subtracted from the opposite of a number
The absolute value of the difference of a number and sixty-five
The opposite 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 #6 :Word Problems In Algebra
Which of the following phrases can be written as the algebraic expression?
The square of the difference of thirty-four and a number
Twice the difference of thirty-four and a number
Twice the difference of a number and thirty-four
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 #7 :Word Problems In Algebra
A broken television cost $1.25 after a 99% discount. What was the original price?
$2.49
$125
$2.74
$250
$12.50
$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 #8 :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
The reciprocal of the difference of five and a number
The reciprocal of the difference of a number and five
Five decreased by the reciprocal of 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 #9 :Word Problems In Algebra
Sixty-four coins, all dimes and nickels, total $5.15. How many of the coins are dimes?
Letbe the number of dimes. Then there arenickels.
An equation can be set up and solved forfor the amount of money:
, the number of dimes.
Example Question #2 :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.
Letbe the number of croissants he buys. Then
Greg can buy up to 21 croissants.
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