Basic Arithmetic : Creating Linear Equations with Part, Percent, and Whole
Study concepts, example questions & explanations for Basic Arithmetic
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Example Questions
Example Question #1 : Creating Linear Equations With Part, Percent, And Whole
What is the perimeter of a semicircle with an area of 
This is a multi-step problem. The perimeter of a semicircle is the sum of the circumference and diameter. First, since we are given the area, we will need to find the radius.
For the area of a semicircle:
Since the area is 
Since the radius is 2, the diameter is 4.
The circumference for a semicircle is:
The perimeter is the sum of the circumference and diameter:
Example Question #2 : Creating Linear Equations With Part, Percent, And Whole
What is 
Before multiplying, it's necessary to convert 0.25% to a decimal, which is 0.0025.
Multiply this 0.0025, with 100.
The correct answer is 0.25.
Example Question #2 : Creating Linear Equations With Part, Percent, And Whole
What is 
Before multiplying, we can convert 
Answering our initial question:
Example Question #3 : Creating Linear Equations With Part, Percent, And Whole
What is the perimeter of a rectangle with an area of 
Based on the information given in the question, we know that 
Substituting in the known values of 
Example Question #12 : Percents And Decimals
What is 
Before we answer the question, we should convert 
We can then substitute this value into the original question:
Example Question #3 : Creating Linear Equations With Part, Percent, And Whole
Lucy is a real estate agent who is paid a 
To start, we need to convert the percent into a decimal.
Now, we know that Lucy receives 17% of the value of the homes she sells as her commission. Her commission can then be written as the expression 
Lucy is also paid $1000 regardless of if she sells any houses or not that month. In a linear equation, this would be our y-intercept.
Putting the pieces of the salary together, we get the following equation:
Example Question #5 : Creating Linear Equations With Part, Percent, And Whole
A school board plans to renovate one of its schools in order to make room for more people. After the renovation, the school's maximum capacity will increase by 20%. If the school's current maximum capacity is 1020 people, what will its maximum capacity be after the renovation?
A 20% increase is equal to 120% of the original value. To figure out how much more space the building will have if expanded 20%, you must multiply the existing maximum capacity (1020) by 120%. To do this, first divide 120 by 100.
Then, multiply the result times the existing maximum capacity.
The result is your answer.
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