Percentage Increase Calculation

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What is the first step to simplify a multiplication expression?

Combine like terms

Apply the distributive property (correct)

Multiply all constants together

Rearrange terms alphabetically

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

Subtraction expressions

Division expressions (correct)

Addition expressions

Multiplication expressions

What makes two terms like terms?

They have different variables

They share the same letter or variable (correct)

They are constants

They have the same exponent

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

Combine them Signup and view all the answers

What is a constant term?

Just a number Signup and view all the answers

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

Multiply them all together Signup and view all the answers

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

Multiplying terms inside parentheses Signup and view all the answers

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

Matching pairs Signup and view all the answers

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

They share the same letter or variable Signup and view all the answers

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

Combine terms that share the same variable Signup and view all the answers

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

Read the problem Signup and view all the answers

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

Converting percents to fractions Signup and view all the answers

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

The rate is added in markups and subtracted in markdowns Signup and view all the answers

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

Converting rates to their decimal forms Signup and view all the answers

What are discounts and taxes primarily associated with?

Benefiting the state or local government Signup and view all the answers

How is simple interest calculated?

$Principal * Rate * Time$ Signup and view all the answers

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

$Maturity Value$ Signup and view all the answers

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

'More', 'total', 'sum' Signup and view all the answers

Which action is necessary when calculating discounts?

$Multiplying discounted percentage by original price$ Signup and view all the answers

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

Recall key information from the lesson Signup and view all the answers

What is the definition of a percentage increase?

The difference between the final and initial values Signup and view all the answers

How is percentage increase calculated?

By subtracting the initial value from the final value and then converting to a percentage Signup and view all the answers

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

The old value of a quantity Signup and view all the answers

Which formula represents simple interest calculation?

$I = prt$ Signup and view all the answers

What does percent change help determine?

Rate of change Signup and view all the answers

Which operation can be used to determine percent change?

Multiplication Signup and view all the answers

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

To correctly evaluate how much the quantity has increased Signup and view all the answers

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

'Per hundred' Signup and view all the answers

'Principal' in simple interest refers to what?

The total sum of money borrowed or invested Signup and view all the answers

What is the formula for calculating simple interest?

I = prt Signup and view all the answers

Which formula can be used to calculate percentage increase?

% Increase = (Final Value - Initial Value) / Initial Value Signup and view all the answers

What is the key step in calculating percentage increase?

Subtract the final value from the initial value Signup and view all the answers

How is percent change calculated?

By finding the difference between the final and initial values Signup and view all the answers

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 Signup and view all the answers

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

The percentage of interest applied per time period Signup and view all the answers

What should one do with constants when simplifying multiplication expressions?

Combine them into one constant term Signup and view all the answers

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

'Per hundred' Signup and view all the answers

What does 'principal' represent in simple interest calculations?

'Present value' of money Signup and view all the answers

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

'Relative change' in value Signup and view all the answers

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

They have the same exponent Signup and view all the answers

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

Apply the distributive property Signup and view all the answers

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

To identify matching pairs Signup and view all the answers

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

To ensure no like terms are missed Signup and view all the answers

When simplifying addition expressions, what happens to like terms?

They are combined to form a single term Signup and view all the answers

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

Multiply them to cancel out Signup and view all the answers

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

To simplify expressions involving multiplication and addition Signup and view all the answers

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

To have less number of symbols in the expression Signup and view all the answers

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

It has no variables attached to it Signup and view all the answers

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

Combine them into a single term with a new exponent Signup and view all the answers

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. Signup and view all the answers

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

Less Signup and view all the answers

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

The speed at which interest grows Signup and view all the answers

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

Converting percentages to decimals Signup and view all the answers

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

$Future Value = Principal * (1 + Rate * Time)$ Signup and view all the answers

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

Implementing markups and markdowns Signup and view all the answers

Which operation is necessary when calculating taxes on purchases?