Algebraic Expressions and Linear Functions

Mrs. Lopez introduces lesson two of module four, reviewing key concepts from grade seven, such as terms, coefficients, and constants. She explains linear and non-linear expressions, providing examples and definitions. The video includes practice problems to help students identify and simplify expressions, determining their linearity. Students are encouraged to apply these concepts to solve exercises independently.

What is a term in an algebraic expression?

• A number that is always positive

• A number or a letter, or a combination of both, separated by a plus sign

• A number and a letter separated by a plus sign

• A number or a letter that stands alone

Which of the following is a linear expression?

• 5x^2 - 2x + 1

• x^3 + 4

• 57 - x

• 2x^2 + 3x + 5

How many terms are in the expression 7x + 9 + 6 + 3x?

• 5

• 2

• 4

• 3

What is the simplified form of the expression 7x + 9 + 6 + 3x?

• 7x + 9 + 6

• 10x + 9

• 10x + 15

• 7x + 15

Why is the expression 5 + 9x * 7 + 2x^9 considered non-linear?

• Because it contains a constant

• Because it is not simplified

• Because one of the variables has a power of nine

• Because it has more than two terms

What is the result of simplifying the expression 94 + x + 4x^-6 - 2?

• 92 + x + 4x^-6

• 92 + 4x^-6

• 94 + x - 2

• 96 + x + 4x^-6

In the expression x + 4x, what is the coefficient of x?

• None

• 5

• 4

• 1

What does the expression 5x represent?

• A number plus five

• A number minus five

• Five divided by a number

• Five times a number

How would you express 'twice a number subtracted from four times a number'?

• 4x - 2x

• 4x + 2x

• 2x - 4x

• 2x + 4x

What is the linear expression for 'the sum of a number and four times the number'?

• x + 4x

• 5x

• x + 4

• 4x + x