Linear Equations and Inequalities

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 radical expressions, and finding the greatest common factor of monomials.

Which form is used to express a linear equation in terms of its slope and y-intercept?

• Quadratic form

• Standard form

• Slope-intercept form

• Point-slope form

What is the y-intercept of the line with the equation y = -2x - 2?

• 4

• -2

• -4

• 2

What does the inequality x < -11 mean in terms of solutions?

• x is greater than -11

• x is less than -11

• x is greater than or equal to -11

• x is equal to -11

If x < -11, which of the following numbers is a solution?

• -11

• 0

• -10

• -12

In the equation representing Josey's purchases, what does the ordered pair (4, 3) signify?

• 4 pairs of earrings and 3 bracelets

• 4 bracelets and 3 pairs of earrings

• 4 pairs of earrings and 3 earrings

• 4 earrings and 3 bracelets

What is the total cost if Josey buys 4 bracelets and 3 pairs of earrings, given the equation 12x + 8y = 72?

• $64

• $48

• $56

• $72

Which expression represents the simplest form of the square root of 72?

• 9√8

• 8√9

• 6√2

• 4√18

What is the square root of 36?

• 8

• 7

• 6

• 5

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

• 7xy

• 77x²y²

• x³y³

• 91xy

Which number is the largest factor that divides evenly into 91, 77, and 7?

• 13

• 11

• 1

• 7