Pre-Algebra: 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 rectangle with length 'x' and width 'y'?

Back

The perimeter P is given by the formula P = 2(x + y).

Front

Find the sum: 2(x + 3) + 3(3x - 2)

Back

11x.

Front

What is the difference between two linear expressions?

Back

The difference is found by subtracting the coefficients of like terms in the expressions.

Front

Find (2x + 3) + (x + 4)

Back

3x + 7.

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

Find the difference: (8 - u) - (5u + 1)

Back

-6u + 7.

Front

What is the coefficient in the expression 4x + 5?

Back

The coefficient is 4, which is the number multiplying the variable x.

Front

How do you simplify the expression 3x + 2x?

Back

You combine like terms to get 5x.