Algebra II : Basic Single-Variable Algebra
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #431 : Basic Single Variable Algebra
Set up the following equation: The sum of a number and twice the square of a number is eleven.
Break up the sentence into parts.
Twice the square of a number:
The sum of a number and twice the square of a number:
Is eleven:
Combine the parts to form the equation.
The answer is:
Example Question #81 : Setting Up Equations
Set up the following equation: Ten less than three times the square root of a number is five.
Split up the sentence into parts.
The square root of a number:
Three times the square root of a number:
Ten more less than three times the square root of a number:
Is five:
Combine the parts to form an equation.
The answer is:
Example Question #81 : Equations
Set up the equation: Five more than six times a number cubed is eight.
Split up the sentence into parts.
Six times a number cubed:
Five more than six times a number cubed:
Is eight:
The answer is:
Example Question #82 : Equations
Set up the following equation: Eight times a number less than seven is equal to fifty six.
Split up the sentence into parts.
Eight times a number:
Eight times a number less than seven:
Is fifty six:
Combine the parts to form the equation.
The answer is:
Example Question #434 : Basic Single Variable Algebra
Set up the equation: The product of the square of a number and four times another number is six.
Break up the question into parts.
The square of a number:
Four times another number:
Is six:
The product means to multiply the numbers together.
The answer is:
Example Question #432 : Basic Single Variable Algebra
Set up the equation: Eight less than the cube root of a number squared is four.
Break up the sentence into parts.
A number squared:
The cube root of a number squared:
Eight less than the cube root of a number squared:
Is four:
Set the two terms equal to form the equation.
The answer is:
Example Question #82 : Equations
Set up the equation: Eight less than four times a number is twenty.
Split the sentence into parts.
Four times a number:
Eight less than four times a number:
Is twenty:
Set the terms equal.
The answer is:
Example Question #431 : Basic Single Variable Algebra
Set up the equation: Nine more than three times the cube of a number is four.
Split the sentence into parts.
The cube of a number:
Three times the cube of a number:
Nine more than three times the cube of a number:
Is four:
Combine the parts to form the equation.
The answer is:
Example Question #438 : Basic Single Variable Algebra
Set up the equation: Five less than a fifth of a number is three.
Write each part of the sentence in separate terms.
A fifth of a number:
Five less than a fifth of a number:
Is three:
Combine the parts to form an equation.
The answer is:
Example Question #439 : Basic Single Variable Algebra
A textbook says that, on average, a moose that is 
Because this is a question about proportions, we know there's going to be one number divided by another number. First, we're going to group our textbook length and height together:
As you can see, we choose to put the length of the moose in the numerator. It doesn't matter if we put it in the numerator or the denominator yet. When we group the height of the visible moose and it's length, we're going to put the length in the numerator because that's what we did for the textbook length:
Had we put the lengths in the denominators, that would have been fine (we just would have had an extra step when solving the problem). Now we set our proportions equal to each other to get a final equation of:
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