Writing Algebraic Expressions

What is the formula for the area of a rectangle?

• Area = length + width

• Area = length × width

• Area = length ÷ width

• Area = length - width

What is the distributive property in algebra?

• The distributive property states that @@a(b + c) = ab + ac@@, meaning you multiply a term by each term inside the parentheses.

• The distributive property states that @@a(b - c) = ab - ac@@, meaning you subtract a term from each term inside the parentheses.

• The distributive property states that @@a(b + c) = a + b + c@@, meaning you add a term to each term inside the parentheses.

• The distributive property states that @@a(b imes c) = ab imes ac@@, meaning you multiply a term by the product of terms inside the parentheses.

What is a constant in an algebraic expression?

• A variable that can change value

• A fixed value that does not change

• An equation that represents a relationship

• A term that includes a variable

How do you write an expression for the total cost if each item costs 'c' and you buy 'n' items?

• @@c + n@@

• @@c - n@@

• @@c imes n@@

• @@rac{c}{n}@@

How do you express the total number of items if each person gets 't' items and there are 18 items?

• @@rac{18}{t}@@

• 18t

• t + 18

• 18 - t

What does the variable 't' represent in an expression?

• A constant value that does not change.

• An unknown value that can change, often used to denote varying quantities.

• A specific number that is predetermined.

• A placeholder for a fixed quantity.

What is a coefficient in an algebraic expression?

• A variable in an algebraic expression.

• A numerical factor in a term of an algebraic expression.

• A constant term in an equation.

• The sum of all terms in an expression.

What is an algebraic expression?

• A mathematical phrase that includes numbers, variables, and operation symbols, such as @@3x + 5@@.

• A number that represents a quantity.

• A symbol used to denote a specific value.

• A type of equation that has no variables.

What is the difference between an equation and an expression?

• An equation is a combination of numbers and variables without an equality sign, while an expression states that two expressions are equal.

• An equation states that two expressions are equal, while an expression is a combination of numbers and variables without an equality sign.

• An equation is always true, while an expression can be false.

• An equation contains only numbers, while an expression contains variables.

What does it mean to triple a number?

• To add a number to itself three times.

• To multiply a number by 3.

• To subtract a number from itself three times.

• To divide a number by 3.