Graphing Systems and GCF Problems

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 using perfect squares, and finding the greatest common factor of monomials.

Which form is used to graph a system of equations?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

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

• 4

• 0

• -2

• 2

What is the slope of the second equation in the system?

• 1

• -1

• 2

• -2

What is the slope of the first equation in the system?

• 2

• 1

• -1

• -2

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

• 0

• 2

• 4

• -2

What does the term 'inequality' refer to?

• Equations with equal signs

• Expressions with variables

• Statements with less than or greater than symbols

• Equations with no solutions

What is the solution to the inequality x < 11?

• x = 11

• x > 11

• x < 11

• x = -11

Which number is a solution to the inequality x < -11?

• -12

• -11

• -10

• 0

What is the first step in solving the inequality x < 11?

• Divide both sides by 8

• Add 8 to both sides

• Multiply both sides by 8

• Subtract 8 from both sides

In the context of the problem, what does the ordered pair (4, 3) represent?

• 4 pairs of earrings and 3 bracelets

• 4 bracelets and 3 earrings

• 4 bracelets and 3 pairs of earrings

• 4 earrings and 3 bracelets