Subtracting Linear Expressions

Front

What is the process of subtracting linear expressions?

Back

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

Front

How do you simplify the expression (-2g + 7) - (g + 11)?

Back

Combine like terms: -2g - g + 7 - 11 = -3g - 4.

Front

What is the result of simplifying (4 - 5y) - (2y - 16)?

Back

Combine like terms: 4 - 5y - 2y + 16 = -7y + 20.

Front

How do you simplify the expression (-0.4z + 1.9) - (0.7z + 6.2)?

Back

Combine like terms: -0.4z - 0.7z + 1.9 - 6.2 = -1.1z - 4.3.

Front

What is the simplified form of (1/8)x - 3 - (3/4)x - 7?

Back

Combine like terms: (1/8)x - (6/8)x - 3 - 7 = -5/8x - 10.

Front

What are like terms in algebra?

Back

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

Front

What is the importance of combining like terms when simplifying expressions?

Back

Combining like terms helps to reduce the expression to its simplest form, making it easier to understand and solve.

Front

What does it mean to distribute a negative sign in an expression?

Back

Distributing a negative sign means to multiply each term inside the parentheses by -1.

Front

What is the first step in subtracting two linear expressions?

Back

The first step is to distribute the negative sign to the second expression.

Front

How do you handle constants when subtracting linear expressions?

Back

Combine the constants by performing the arithmetic operation indicated (addition or subtraction) after distributing.