Exploring Linear Expressions: Addition and Subtraction

What is a linear expression?

• An algebraic expression where the exponent of the variable is 1.

• An algebraic expression with multiple variables.

• An algebraic expression where the exponent of the variable is 2.

• An algebraic expression with no variables.

Which of the following is an example of a non-linear expression?

• x^2

• x + 3

• 4x

• 2x - 5

What is the horizontal method for adding linear expressions?

• Stacking the expressions vertically and adding.

• Multiplying the coefficients of like terms.

• Subtracting the coefficients of like terms.

• Adding the coefficients of like terms directly.

Using the vertical method, what is the sum of x - 2 and 3x + 8?

• 2x + 6

• 4x + 6

• 4x - 6

• 2x - 6

Using the horizontal method, what is the sum of -4y + 3 and 11y - 5?

• 15y + 2

• 7y + 2

• 7y - 2

• 15y - 2

What is the first step in subtracting one linear expression from another?

• Multiply the expressions.

• Divide the expressions.

• Combine like terms directly.

• Add the opposite of each term in the expression.

What is the result of subtracting (x - 6) from (5x + 6)?

• 6x

• 4x

• 5x

• x

What is the result of subtracting (2 * (4y + 3)) from (7y + 5)?

• -y - 11

• -y + 11

• y - 11

• y + 11

If you buy a hat for d - 2 dollars and sell it for 2d - 4 dollars, what is your earnings?

• 2d + 2

• 2d - 2

• d - 2

• d + 2

If you buy a hat for 18 dollars and sell it for 36 dollars, how much did you earn?

• 54 dollars

• 72 dollars

• 36 dollars

• 18 dollars