Writing Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

How do you represent '100 less than a number n' in algebraic form?

Back

n - 100

Front

What is the algebraic expression for 'the sum of p and twice q'?

Back

p + 2q

Front

How do you express 'c is decreased by twice d' in algebraic terms?

Back

c - 2d

Front

What is the algebraic representation of 'double the sum of one third of a and m'?

Back

2[(1/3)a + m]

Front

How do you express 'the sum of numbers m and n decreased by their product'?

Back

(m + n) - mn

Front

What does it mean to 'decrease' a variable in algebra?

Back

To decrease a variable means to subtract a certain value from it.

Front

What is the difference between a variable and a constant in algebra?

Back

A variable is a symbol that represents an unknown value, while a constant is a fixed value that does not change.

Front

How do you combine like terms in an algebraic expression?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.