Adding and Subtracting Linear Expressions

Miss Mullins introduces linear expressions, focusing on adding, subtracting, and distributing within them. The lesson covers simplifying expressions, handling fractions, and distributing negatives. A word problem is used to apply these concepts practically.

What is a linear expression?

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

• An algebraic expression where the exponents are all equal to two.

• An algebraic expression where the exponents are all equal to three.

• An algebraic expression where the exponents are all equal to zero.

Which of the following is a linear expression?

• x^2 + 3

• 4x + 5

• x^3 - 2

• 5x^2 + 1

When adding linear expressions without distribution, what should you do?

• Combine like terms directly.

• Subtract the terms.

• Multiply all terms by 2.

• Divide all terms by 2.

What is the result of adding the linear expressions x + 3 and 2x - 1?

• 2x + 2

• 3x - 2

• x + 2

• 3x + 2

What should you do when there is a number to distribute in a linear expression?

• Add the number to each term inside the parentheses.

• Subtract the number from each term inside the parentheses.

• Distribute the number to each term inside the parentheses.

• Ignore the number.

What is the result of distributing 2 to the expression 2(-7.5z + 3)?

• -15z + 6

• 15z + 6

• 15z - 6

• -15z - 6

What happens when you distribute a negative sign to the expression -(x + 6)?

• The signs of the terms change.

• The terms remain the same.

• The terms are multiplied by 2.

• The terms are divided by 2.

What is the result of distributing -2 to the expression -2(4y - 3)?

• -8y + 6

• 8y - 6

• -8y - 6

• 8y + 6

If the original price of a hat is d dollars and you buy it for d - 2 dollars, then sell it for 2d - 4 dollars, what is your profit?

• d - 4

• 2d - 6

• 2d - 2

• d - 2

What is the final expression for the profit if you bought a hat for d - 2 dollars and sold it for 2d - 4 dollars?

• d - 2

• 2d - 6

• 2d - 2

• d - 4