Expressions

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.

Front

How do you simplify the expression 5(2x + 6)?

Back

By applying the distributive property, you get 10x + 30.

Front

What is the process to combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

Simplify the expression: 7v + 2 + 12 + 2v.

Back

Combine like terms to get 9v + 14.

Front

What does the expression 7(u + 4) simplify to?

Back

It simplifies to 7u + 28 using the distributive property.

Front

How do you simplify the expression 3(6x - 5)?

Back

By applying the distributive property, it simplifies to 18x - 15.

Front

What does the expression 21h represent in a real-world context?

Back

It represents earning 21 dollars per hour.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 5 in 5x.

Front

What is the difference between an expression and an equation?

Back

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