Mastering Addition and Subtraction of Linear Expressions

What is the key characteristic of a linear expression?

• The exponent of the variable is 1.

• It has no variables.

• It contains an equal sign.

• The exponent of the variable is 2.

Which of the following is a nonlinear expression?

• 5x + 1

• 3x + 5

• 2x - 7

• x^2 + 4

In the vertical method of adding linear expressions, what is the result of combining X - 2 and 3X + 8?

• 4X - 6

• 2X - 6

• 4X + 6

• 2X + 6

When adding linear expressions horizontally, what is the simplified form of -4y + 3 + 11y - 5?

• 7y - 8

• 7y + 8

• 7y - 2

• 7y + 2

What is the first step in simplifying the expression 2(-7.5X + 3) + 5X - 2?

• Distribute the 2.

• Combine like terms.

• Add the constants.

• Rewrite as an addition expression.

After distributing and combining like terms, what is the simplified form of 2(-7.5X + 3) + 5X - 2?

• -10X - 4

• -15X - 4

• -15X + 4

• -10X + 4

In the subtraction example, what is the result of 5X + 6 - (-X + 6)?

• 6X + 12

• 4X + 0

• 6X + 0

• 4X + 12

What is the simplified form of 7y + 5 - 2(4y - 3)?

• y - 11

• -y + 11

• y + 11

• -y - 11

What happens to the terms inside the parentheses when you distribute a negative sign?

• They are divided by 2.

• They all become the opposite sign.

• They all become positive.

• They remain the same.

What is the final simplified form of the expression 7y + 5 - 2(4y - 3)?

• y - 11

• -y + 11

• -y - 11

• y + 11