Percentage Increase Calculation

What is the first step to simplify a multiplication expression?

Apply the distributive property

Which type of expressions involve looking for matching pairs to simplify?

Division expressions

What makes two terms like terms?

They share the same letter or variable

In simplifying addition expressions, what do we do with like terms?

Combine them

What is a constant term?

Just a number

When simplifying multiplication expressions, what should be done with constants?

Multiply them all together

What is the main purpose of applying the distributive property in simplifying expressions?

Multiplying terms inside parentheses

What should we look for in division expressions to simplify them?

Matching pairs

How can we determine if two terms are like terms in an expression?

They share the same letter or variable

What does it mean to combine like terms in an expression?

Combine terms that share the same variable

What is the first step in solving word problems, according to the text?

Read the problem

Which method is NOT mentioned as a way to solve word problems involving percents?

Converting percents to fractions

What is the main difference between the formulas for markups and markdowns?

The rate is added in markups and subtracted in markdowns

What is important when using rates in mathematical formulas for markups and markdowns?

Converting rates to their decimal forms

What are discounts and taxes primarily associated with?

Benefiting the state or local government

How is simple interest calculated?

$Principal * Rate * Time$

What is another term for future value when referring to loans?

$Maturity Value$

What keywords should a reader look for when translating word problems into math equations for addition?

'More', 'total', 'sum'

Which action is necessary when calculating discounts?

$Multiplying discounted percentage by original price$

'What have we learned?' at the end of a lesson typically helps students:

Recall key information from the lesson

What is the definition of a percentage increase?

The difference between the final and initial values

How is percentage increase calculated?

By subtracting the initial value from the final value and then converting to a percentage

What does 'initial value' refer to in the context of percentage increase?

The old value of a quantity

Which formula represents simple interest calculation?

$I = prt$

What does percent change help determine?

Rate of change

Which operation can be used to determine percent change?

Multiplication

Why is identifying the initial and final values important in percentage increase calculations?

To correctly evaluate how much the quantity has increased

'Percent' in 'percent word problems' means what?

'Per hundred'

'Principal' in simple interest refers to what?

The total sum of money borrowed or invested

What is the formula for calculating simple interest?

I = prt

Which formula can be used to calculate percentage increase?

% Increase = (Final Value - Initial Value) / Initial Value

What is the key step in calculating percentage increase?

Subtract the final value from the initial value

How is percent change calculated?

By finding the difference between the final and initial values

When calculating percent increase, why is it important to identify the initial and final values correctly?

To express the change as a percentage of the initial value

In simple interest calculations, what is represented by 'rate'?

The percentage of interest applied per time period

What should one do with constants when simplifying multiplication expressions?

Combine them into one constant term

'Percent' in 'percent word problems' refers to what?

'Per hundred'

What does 'principal' represent in simple interest calculations?

'Present value' of money

'Percent change' helps determine what aspect of a quantity?

'Relative change' in value

What is the key characteristic of like terms in algebraic expressions?

They have the same exponent

In simplifying multiplication expressions, what should you do if the expression contains parentheses?

Apply the distributive property

What is the purpose of breaking numbers into factors when simplifying division expressions?

To identify matching pairs

Why should all like terms be rearranged together in algebraic expressions?

To ensure no like terms are missed

When simplifying addition expressions, what happens to like terms?

They are combined to form a single term

What is the correct approach to handling matching pairs in division expressions?

Multiply them to cancel out

Why is it important to apply the distributive property in algebraic expressions?

To simplify expressions involving multiplication and addition

What is the purpose of combining like terms in algebraic expressions?

To have less number of symbols in the expression

What is the main characteristic of a constant term in algebra?

It has no variables attached to it

How can you simplify multiplication expressions involving the same variable raised to different exponents?

Combine them into a single term with a new exponent

What is the key difference between markups and markdowns in terms of the starting price?

Markup involves adding the rate to the starting price, while markdown involves subtracting the rate.

Which of the following keywords typically translate into subtraction when solving word problems?

Less

In simple interest calculations, what does the 'rate' represent?

The speed at which interest grows

When calculating discounts, what method can be used in addition to setting up ratios?

Converting percentages to decimals

Which formula should be used to calculate future value in a simple interest scenario?

$Future Value = Principal * (1 + Rate * Time)$

What is a common method used in businesses to manipulate profit margins?

Implementing markups and markdowns

Which operation is necessary when calculating taxes on purchases?