Simplifying Expressions and Evaluating Functions

The video tutorial covers practice problems on variable expressions, focusing on simplifying expressions by removing multiplication symbols, evaluating expressions with given values, and solving complex expressions involving exponents. It also includes practical applications such as calculating costs and volumes using formulas. The tutorial emphasizes the importance of order of operations and provides step-by-step solutions to various problems.

How can the expression 2 times 11x be simplified?

• 11x + 2

• 2x11

• 22x

• 2x + 11

What is the simplified form of 1.35 times y?

• 1.35y^2

• y/1.35

• 1.35 + y

• 1.35y

What is the result of 3 times 1/4?

• 3/4

• 1

• 1/4

• 3

If a = -3 and b = 2, what is the value of 2a + 3b?

• -12

• 0

• 6

• 12

What is the simplified form of the expression a - 4b when a = -3 and b = 2?

• -7

• 11

• -11

• 7

What is the result of 2x^2 - 3x^2 + 5x - 4 when x = -1?

• 5

• -10

• 0

• -5

What is the cost of producing 1,000 remote controls using the formula c = 2000 + 3x?

• $2,000

• $5,000

• $8,000

• $3,000

Using the formula c = 2000 + 3x, what is the cost of producing 2,000 remote controls?

• $6,000

• $8,000

• $10,000

• $12,000

What is the volume of a box when x = 2 using the formula v = 4x(10 - x^2)?

• 256

• 64

• 512

• 128

Calculate the volume when x = 3 using the formula v = 4x(10 - x^2).

• 588

• 512

• 400

• 300