Creating Linear Equations with Part, Percent, and Whole - Basic Math
Card 1 of 28
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 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?
Tap to reveal answer
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.
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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What is 
of 
?
What is
Tap to reveal answer
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.
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.
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What is the perimeter of a semicircle with an area of 
?
What is the perimeter of a semicircle with an area of
Tap to reveal answer
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 
, substitute this into A to find radius r.
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:
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:
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Lucy is a real estate agent who is paid a 
commission on the value of each house she sells every month. She is also paid a base monthly rate of 
as part of her salary. If 
represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Lucy is a real estate agent who is paid a
Tap to reveal answer
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:
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:
← Didn't Know|Knew It →
What is 
of 
?
What is
Tap to reveal answer
Before multiplying, we can convert 
% into a decimal: 
.
Answering our initial question:
Before multiplying, we can convert
Answering our initial question:
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What is the perimeter of a rectangle with an area of 
, a length of 
, and a width of 
?
What is the perimeter of a rectangle with an area of
Tap to reveal answer
Based on the information given in the question, we know that 
. Since we also know the values of length 
and width 
, however, we don't need to use the area equation to solve for 
and 
, since the perimeter 
.
Substituting in the known values of 
and 
:
Based on the information given in the question, we know that
Substituting in the known values of
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What is 
of 
?
What is
Tap to reveal answer
Before we answer the question, we should convert 
into a decimal: 
= 
.
We can then substitute this value into the original question:
Before we answer the question, we should convert
We can then substitute this value into the original question:
← Didn't Know|Knew It →
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 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?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
What is of ?
What is
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
What is the perimeter of a semicircle with an area of ?
What is the perimeter of a semicircle with an area of
Tap to reveal answer
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 , substitute this into A to find radius r.
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:
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:
← Didn't Know|Knew It →
Lucy is a real estate agent who is paid a commission on the value of each house she sells every month. She is also paid a base monthly rate of as part of her salary. If represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Lucy is a real estate agent who is paid a
Tap to reveal answer
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:
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:
← Didn't Know|Knew It →
What is of ?
What is
Tap to reveal answer
Before multiplying, we can convert % into a decimal: .
Answering our initial question:
Before multiplying, we can convert
Answering our initial question:
← Didn't Know|Knew It →
What is the perimeter of a rectangle with an area of , a length of , and a width of ?
What is the perimeter of a rectangle with an area of
Tap to reveal answer
Based on the information given in the question, we know that . Since we also know the values of length and width , however, we don't need to use the area equation to solve for and , since the perimeter .
Substituting in the known values of and :
Based on the information given in the question, we know that
Substituting in the known values of
← Didn't Know|Knew It →
What is of ?
What is
Tap to reveal answer
Before we answer the question, we should convert into a decimal: = .
We can then substitute this value into the original question:
Before we answer the question, we should convert
We can then substitute this value into the original question:
← Didn't Know|Knew It →
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 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?
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
What is of ?
What is
Tap to reveal answer
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.
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.
← Didn't Know|Knew It →
What is the perimeter of a semicircle with an area of ?
What is the perimeter of a semicircle with an area of
Tap to reveal answer
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 , substitute this into A to find radius r.
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:
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:
← Didn't Know|Knew It →
Lucy is a real estate agent who is paid a commission on the value of each house she sells every month. She is also paid a base monthly rate of as part of her salary. If represents the value of the houses she sells per month, which of the following equations would accurately predict how much money she makes per month?
Lucy is a real estate agent who is paid a
Tap to reveal answer
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:
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:
← Didn't Know|Knew It →
What is of ?
What is
Tap to reveal answer
Before multiplying, we can convert % into a decimal: .
Answering our initial question:
Before multiplying, we can convert
Answering our initial question:
← Didn't Know|Knew It →
What is the perimeter of a rectangle with an area of , a length of , and a width of ?
What is the perimeter of a rectangle with an area of
Tap to reveal answer
Based on the information given in the question, we know that . Since we also know the values of length and width , however, we don't need to use the area equation to solve for and , since the perimeter .
Substituting in the known values of and :
Based on the information given in the question, we know that
Substituting in the known values of
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