All SAT II Math II Resources
Example Questions
Example Question #1 : Single Variable Algebra
Which of the following phrases can be written as the algebraic expression ?
Eight decreased by the absolute value of a number
The absolute value of the difference of a number and eight
The absolute value of the difference of eight and a number
The absolute value of the product of negative eight and a number
Eight subtracted from the absolute value of a number
The absolute value of the difference of eight and a number
is the absolute value of , which is the difference of eight and a number. Therefore, is "the absolute value of the difference of eight and a number."
Example Question #2 : Single Variable Algebra
Which of the following phrases can be written as the algebraic expression ?
Seven decreased by the absolute value of a number
The opposite of a number decreased by seven
The opposite of the difference of seven and a number
The absolute value of the difference of seven and a number
Seven decreased by the opposite of a number
Seven decreased by the opposite of a number
is seven decreased by , which is the opposite of a number; therefore, is "seven decreased by the opposite of a number."
Example Question #3 : Single Variable Algebra
Which of the following phrases can be represented by the algebraic expression ?
One divided into the difference of nine and a number
Nine less than by the multiplicative inverse of a number
Nine decreased by the multiplicative inverse of a number
The multiplicative inverse of the difference of nine and a number
The multiplicative inverse of the difference of a number and nine
The multiplicative inverse of the difference of nine and a number
is the multiplicative inverse of , which is the difference of nine and a number. Therefore, is "the multiplicative inverse of the difference of nine and a number".
Example Question #4 : Single Variable Algebra
Which of the following phrases can be represented by the algebraic expression
Ten decreased by the cube root of a number
Ten less than the cube root of a number
Ten less than three times the square root of a number
Ten decreased by three times the square root of a number
The cube root of the difference of a number and ten
Ten less than the cube root of a number
is ten less than , which is the cube root of a number; therefore, is "ten less than the cube root of a number".
Example Question #5 : Single Variable Algebra
Which of the following phrases can be represented by the algebraic expression
Twenty less than the square root of a number
The square root of the difference of twenty and a number
The square root of the difference of a number and twenty
Twenty decreased by the square root of a number
Negative twenty multiplied by the square root of a number
Twenty decreased by the square root of a number
is twenty decreased by , which is the square root of a number, so is "twenty decreased by the square root of a number".
Example Question #2451 : Algebra 1
Adult tickets to the zoo sell for ; child tickets sell for . On a given day, the zoo sold tickets and raised in admissions. How many adult tickets were sold?
Let be the number of adult tickets sold. Then the number of child tickets sold is .
The amount of money raised from adult tickets is ; the amount of money raised from child tickets is . The sum of these money amounts is , so the amount of money raised can be defined by the following equation:
To find the number of adult tickets sold, solve for :
adult tickets were sold.
Example Question #4 : Single Variable Algebra
Sarah sells lemonade at the concession stands. She charges fifty cents per cup of lemonade, and twenty five cents for refills. What is the equation that represents the total that she will make from the lemonade stand using the variables cups and refills ?
Sarah charges fifty cents per cup of lemonade:
Sarah charges twenty five cents for refills:
Set up the equation by adding the totals.
The answer is:
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