Inequalities, Functions, and Monomials

The video tutorial covers the first five questions of the Keystone practice test for module 1. It begins with graphing systems of equations using slope-intercept form, followed by solving inequalities and graphing their solutions. The tutorial then explains interpreting ordered pairs in equations, simplifying radicals, and finding the greatest common factor of monomials. Each section provides step-by-step solutions and explanations to help students understand the concepts.

Which form is essential to remember when graphing a system of equations?

• Slope-intercept form

• Point-slope form

• Quadratic form

• Standard form

What is the y-intercept of the first line in the system of equations discussed?

• Positive 4

• Negative 4

• Positive 2

• Negative 2

What is the solution to the inequality x < -11?

• -11

• -9

• -12

• -10

In the context of the inequality problem, what does an open dot on a graph represent?

• The number is included in the solution

• The number is not included in the solution

• The number is the only solution

• The number is a possible solution

What does the ordered pair (4, 3) represent in the context of the problem involving bracelets and earrings?

• 3 earrings and 4 bracelets

• 3 bracelets and 4 earrings

• 4 bracelets and 3 earrings

• 4 earrings and 3 bracelets

How do you verify that an ordered pair is a solution to an equation?

• By substituting only the y-value

• By substituting only the x-value

• By graphing the pair

• By checking if the pair satisfies the equation

What is the simplest form of the square root of 72?

• 8.49

• 6√2

• √72

• 9√8

Which method is preferred for simplifying radicals?

• Using any two numbers

• Using the smallest perfect square

• Using a calculator

• Using the largest perfect square

What is the greatest common factor of the monomials 91xy³, 77x³y, and 7x²y²?

• x²y²

• 7xy

• 77x²y²

• 91xy

Which variable can be factored out from all the given monomials?

• x³

• y²

• x²

• xy