SAT II Math II : Single-Variable Algebra
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Example Questions
Example Question #1 : Single Variable Algebra
Which of the following phrases can be written as the algebraic expression 
Eight subtracted from the absolute value of a number
The absolute value of the difference of a number and eight
Eight decreased by the absolute value of a number
The absolute value of the product of negative eight and a number
The absolute value of the difference of eight and a number
The absolute value of the difference of eight and a number
Example Question #1 : Single Variable Algebra
Which of the following phrases can be written as the algebraic expression 
The opposite of the difference of seven and a number
Seven decreased by the opposite of a number
The opposite of a number decreased by seven
The absolute value of the difference of seven and a number
Seven decreased by the absolute value of a number
Seven decreased by the opposite of a number
Example Question #1 : Single Variable Algebra
Which of the following phrases can be represented by the algebraic expression 
Nine decreased by the multiplicative inverse of a number
The multiplicative inverse of the difference of nine and a number
Nine less than by the multiplicative inverse of a number
The multiplicative inverse of the difference of a number and nine
One divided into the difference of nine and a number
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 three times the square root of a number
Ten decreased by the cube root of a number
The cube root of the difference of a number and ten
Ten less than the cube root of a number
Ten less than three times the square root of a number
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
Negative twenty multiplied by the square root of a number
Twenty decreased by the square root of a number
The square root of the difference of a number and twenty
The square root of the difference of twenty and a number
Twenty less than the square root of a number
Twenty decreased by the square root of a number
Example Question #1 : Single Variable Algebra
Adult tickets to the zoo sell for 
Let 
The amount of money raised from adult tickets is 
To find the number of adult tickets sold, solve for 
Example Question #1 : Equations Based On Word Problems
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 
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:
Example Question #7 : Finding Roots
Solve for 
To solve for 
Next, you can factor out this quadratic equation to solve for 
Finally, you set each binomial equal to 0 and solve for 
Example Question #1 : Solving Equations
Give the solution set of the equation 
Use the quadratic formula with 
Example Question #2 : Solving Equations
A large tub has two faucets. The hot water faucet, if turned all the way up, can fill the tub in 15 minutes; the cold water faucet can do the same in 9 minutes. Which of the following responses is closest to the time it takes to fill the tub if both faucets are turned all the way up?
Work problems can be solved by looking at them as rate problems.
The hot faucet can fill up the tub at a rate of 15 minutes per tub, or 
Suppose the tub fills up in 
Of the five choices, 6 minutes comes closest.
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