Exploring Linear Expressions: Addition and Subtraction

What is a linear expression?

• An algebraic expression where the exponents on the variable are greater than one.

• An algebraic expression where the exponents on the variable are equal to one.

• An algebraic expression with only constants.

• An algebraic expression with no variables.

Which of the following is a linear expression?

• x^2 + 2

• 3x + 1

• x^3 - x + 4

• x^7 - x + 4

What is the result of adding the linear expressions x + 2 and 5x - 3?

• 6x + 1

• 6x - 1

• 5x - 1

• 5x + 1

When adding linear expressions, what should you do first if there are no coefficients in front of the parentheses?

• Multiply the expressions.

• Factor out the common terms.

• Combine like terms directly.

• Distribute a negative sign.

What is the result of adding 1/2(W - 4) and 3(W - 1)?

• 4W - 5

• 4W - 3

• 3.5W - 5

• 3.5W - 3

What is the first step when adding linear expressions with coefficients in front of the parentheses?

• Multiply the expressions.

• Distribute the coefficients.

• Factor out the common terms.

• Combine like terms directly.

What is the result of subtracting the linear expressions 5x + 6 and -x + 6?

• 4x

• 6x + 12

• 4x + 12

• 6x

When subtracting linear expressions, what is the key step that is often forgotten?

• Factoring out the common terms.

• Multiplying the expressions.

• Distributing the negative sign.

• Combining like terms.

What is the result of subtracting 2(5D - 1) and 6 - D?

• 8D - 7

• 9D - 8

• 10D - 7

• 11D - 8

When subtracting linear expressions with coefficients, what should you do first?

• Combine like terms directly.

• Factor out the common terms.

• Multiply the expressions.

• Distribute the coefficients and the negative sign.