Understanding Linear Expressions

This video tutorial explains how to add linear expressions. It begins with a definition of linear expressions, highlighting that they are algebraic expressions where variables are raised to the first power, and their graphs form straight lines. The video then demonstrates the process of adding linear expressions through several examples, including handling negative terms and distributing before adding. The tutorial emphasizes combining like terms and following rules for signed numbers to find the sum of expressions.

What is a characteristic of a linear expression when graphed?

• It forms a circle.

• It forms a straight line.

• It forms a hyperbola.

• It forms a parabola.

What is the first step in adding two linear expressions?

• Rewrite as one expression.

• Divide the expressions.

• Multiply the expressions.

• Subtract the expressions.

In the expression 4x + 7 and x - 4, what is the sum of the coefficients of x?

• 7x

• 5x

• 6x

• 3x

When combining like terms, what should you do if the signs are different?

• Subtract the numbers and take the sign of the larger number.

• Add the numbers and take the sign of the smaller number.

• Add the numbers and take the sign of the larger number.

• Subtract the numbers and take the sign of the smaller number.

In the expression -3a + 4 and -2a, what is the sum of the coefficients of a?

• -5a

• -1a

• -4a

• -6a

What is the result of adding 4 and 2 in the expression -3a + 4 and -2a?

• 2

• 6

• 8

• 4

What does distributing a number outside parentheses mean?

• Multiplying the number with each term inside.

• Dividing the number by each term inside.

• Subtracting the number from each term inside.

• Adding the number to each term inside.

In the expression 2x + 3, what is the result of distributing 2?

• 4x + 3

• 2x + 3

• 2x + 6

• 4x + 6

What is the sum of 2x and 3x in the expression 2x + 3x?

• 4x

• 5x

• 6x

• 3x

What is the final result of adding 6 and -2 in the expression 2x + 6 + 3x - 2?

• 2

• 4

• 6

• 8