Linear Functions and Inequalities

The video tutorial covers a range of algebra topics, including linear functions, solving algebraic expressions, evaluating functions, identifying non-functions, calculating rate of change, solving inequalities, factoring expressions, identifying rational numbers, analyzing polynomial functions, understanding sequences, and solving systems of equations. It also includes practical applications such as unit conversion and data analysis.

What is the fixed cost in the linear function representing the total cost of the kayak tour package?

• $35

• $0

• $245

• $280

When distributing a negative sign across a term, what is the result of -1 times 2x?

• x

• 0

• -2x

• 2x

Which of the following x-values would make a relation not a function?

• x = 12

• x = 9

• x = 6

• x = 3

If Donna has $19 to spend, which inequality represents the maximum number of milkshakes she can buy?

• 1.5c + 2m ≤ 19

• 1.5c + 2m ≥ 19

• 1.5c + 2m = 19

• 1.5c + 2m < 19

What is the result of multiplying 3 by 2x in standard form?

• 2x

• 3x

• 5x

• 6x

Which expression results in a rational number?

• x - z

• w * y

• y - w

• x + y

What is the y-intercept of the function g(x) = 2x - 6?

• 6

• 2

• 0

• -6

Which type of function should be used to model compound interest?

• Exponential

• Logarithmic

• Quadratic

• Linear

In a recursive sequence, if the first term is 3 and each subsequent term increases by 2, what is the 4th term?

• 5

• 7

• 11

• 9

Which unit conversion is necessary to find speed in kilometers per minute from miles per hour?

• Divide by 60

• Multiply by 60

• Divide by 0.62

• Multiply by 0.62