Adding and Subtracting 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

How do you add linear expressions?

Back

To add linear expressions, combine like terms by adding the coefficients of the same variable.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Front

How do you simplify the expression (7x + 4) - (3x + 2)?

Back

Combine like terms: (7x - 3x) + (4 - 2) = 4x + 2.

Front

What is the difference between two expressions?

Back

The difference between two expressions is found by subtracting the second expression from the first.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

How do you find the sum of 3(x + 2) + 2(2x + 3)?

Back

Distribute first: 3x + 6 + 4x + 6, then combine like terms: 7x + 12.

Front

What is the result of (x - 3) - 2(0.5x - 2)?

Back

Distribute the -2: x - 3 - x + 4 = 1.

Front

What is the formula for the perimeter of a triangle with sides represented by linear expressions?

Back

The perimeter P can be expressed as P = a + b + c, where a, b, and c are the lengths of the sides.

Front

How do you simplify the expression (2x - 6) + (4x - 4)?

Back

Combine like terms: (2x + 4x) + (-6 - 4) = 6x - 10.