Adding Linear Expressions

Front

What is a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable raised to the first power.

Front

What does it mean to add linear expressions?

Back

Adding linear expressions involves combining like terms to simplify the expression into a single linear expression.

Front

Simplify the expression: (3x + 5) + (2x + 1)

Back

5x + 6

Front

Simplify the expression: (3w - 8) + (-6w - 4)

Back

-3w - 12

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

What is the coefficient in a linear expression?

Back

The coefficient is the numerical factor that multiplies a variable in an expression.

Front

Simplify the expression: (n + 7) + (n - 14)

Back

2n - 7

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Use the distributive property to simplify: 2(x + 3) + 3(3x - 2)

Back

11x