Math 7 Flashcard - Add and Subtract 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 subtract linear expressions?

Back

To subtract linear expressions, distribute the negative sign to the terms in the second expression and then combine like terms.

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

What is the result of (3x - 4) - (7x - 2)?

Back

-4x - 2

Front

What is the result of (7a + 4) - (9a + 2)?

Back

-2a + 2

Front

What is the result of (10x + 2) - (8x - 4)?

Back

2x + 6

Front

What is the sum of (7k + 9) + (4k - 3)?

Back

11k + 6

Front

How do you find the perimeter of a triangle with linear expressions?

Back

Add the lengths of all three sides, which may be expressed as linear expressions.

Front

What is the perimeter of a triangle with sides (2x + 1), (3x + 2), and (x + 3)?

Back

6x + 6

Front

What is the difference between addition and subtraction of linear expressions?

Back

Addition combines the coefficients of like terms, while subtraction requires distributing a negative sign before combining like terms.