Adding & Subtracting Linear Expressions

The video tutorial covers adding and subtracting linear expressions. It begins with an introduction to linear and nonlinear expressions, explaining that linear expressions have variables with an exponent of 1. The tutorial then introduces algebra tiles as a visual tool to simplify expressions. It demonstrates how to use these tiles to model and add linear expressions, followed by a section on subtracting linear expressions. The video concludes with a summary and encouragement to continue learning about algebraic expressions.

What is a characteristic of a linear expression?

• The expression contains a square root.

• The exponent of the variable is 1.

• The exponent of the variable is 2.

• The expression has more than three terms.

Which of the following is a nonlinear expression?

• 7.6x + 2.1

• x - 4

• 3x^3 - 5

• 2x + 3

What does a long green algebra tile represent?

• Negative x

• Negative 1

• Positive 1

• Positive x

How do you represent a negative number using algebra tiles?

• With a yellow square

• With a red square

• With a long green tile

• With a long red tile

What is the simplified form of the expression represented by x + 2 and x + 4 using algebra tiles?

• 2x + 4

• 2x + 6

• x + 6

• x + 4

When combining like terms using algebra tiles, what is the result of x - 1 and x + 2?

• x - 1

• 2x - 1

• x + 1

• 2x + 1

In the vertical method, what is the result of adding 2x + 7 and x - 5?

• 3x + 12

• 3x + 2

• x + 2

• 2x + 2

What is the simplified form of 4x + 3x using the vertical method?

• x

• 4x

• 3x

• 7x

What is the result of subtracting x + 1 from x + 2 using algebra tiles?

• 0

• x

• 1

• x + 1

Using the vertical method, what is the result of subtracting 3x + 5 from 9x - 4?

• 12x - 9

• 6x + 9

• 6x - 9

• 12x + 9