Mathematical Concepts and Problem Solving

This video tutorial covers the January 22nd Algebra 1 Regents exam, focusing on calculator tips and problem-solving strategies. It includes sections on function evaluation, inequalities, factoring, graphing, statistics, systems of equations, completing the square, linear regression, geometry, and graphing inequalities. The tutorial provides step-by-step solutions and emphasizes the use of calculators to verify answers.

What is the process to find the value of f(2) if f(x) = 2 * 3^x + 1?

• Add 2 to the result of the function.

• Multiply 2 by the entire function.

• Substitute 2 for x in the equation and solve.

• Divide the function by 2.

How do you determine if a table represents a function?

• Each y-value must have a unique x-value.

• The table must have equal x and y values.

• Each x-value must have a unique y-value.

• The table must have more y-values than x-values.

What is the correct method to solve for x in the equation x - 3/4 + 2/3 = 17/12?

• Subtract 2/3 from both sides and solve for x.

• Use substitution to test possible values for x.

• Add 3/4 to both sides and solve for x.

• Multiply all terms by 12 to eliminate fractions.

Which statement is true about the function V(t) = 12000 * 0.75^t?

• The motorcycle's initial value is $12,000.

• The motorcycle's value remains constant.

• The motorcycle's value increases by 25% each year.

• The motorcycle's value decreases by 75% each year.

How do you determine the domain for the function P(t) = 3 * 2^t over the first two weeks?

• Set t from 0 to 2.

• Set t from 0 to 14.

• Set t from 0 to 7.

• Set t from 0 to 21.

What is the maximum number of adult t-shirts Maria can buy if she has $550 and buys 45 youth t-shirts?

• 56

• 53

• 55

• 54

How many fluid ounces of water should an adult drink per week if they consume 4 pints per day?

• 512 fluid ounces

• 336 fluid ounces

• 448 fluid ounces

• 224 fluid ounces

Which property is used when combining like terms in an equation?

• Distributive Property

• Associative Property

• Addition Property of Equality

• Commutative Property

What is the correlation coefficient if the linear regression function is f(p) = -0.79x + 249.86?

• 0.79

• -0.95

• 0.95

• -0.79

In the context of a system of equations, what does the intersection point represent?

• The solution to both equations

• The midpoint of the graph

• The average rate of change

• The maximum value of the function