Add 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.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you combine like terms in the expression (7k + 9) + (4k - 3)?

Back

Combine the coefficients of 'k': 7k + 4k = 11k. Combine the constants: 9 - 3 = 6. The result is 11k + 6.

Front

What is the result of (6 - k) + (4k + 1)?

Back

Combine like terms: -k + 4k = 3k and 6 + 1 = 7. The result is 3k + 7.

Front

How do you find the difference of linear expressions?

Back

To find the difference, subtract the coefficients of like terms and combine the constants.

Front

What is the difference of (2x + 6) – (7x + 3)?

Back

Subtract the coefficients: 2x - 7x = -5x. Combine the constants: 6 - 3 = 3. The result is -5x + 3.

Front

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

Back

Subtract the coefficients: 7a - 9a = -2a. Combine the constants: 4 - 2 = 2. The result is -2a + 2.

Front

How do you distribute in the expression 5(x - 4)?

Back

Distribute 5 to both terms: 5*x - 5*4 = 5x - 20.

Front

What is the result of 5(x - 4) + (2x - 7)?

Back

First distribute: 5x - 20 + 2x - 7. Combine like terms: 5x + 2x = 7x and -20 - 7 = -27. The result is 7x - 27.