Understanding Systems of Inequalities

Chandler Malm guides students through solving and graphing linear equations and inequalities. The video covers graphing techniques, solving equations by substitution and elimination, and analyzing systems of inequalities. Students are encouraged to pause and attempt problems before solutions are explained.

What is the purpose of pausing the video as instructed by Chandler Malm?

• To take a break

• To complete classwork quiz number 65

• To check homework

• To review previous lessons

What is the y-intercept of the first equation discussed?

• 1

• -7

• 0

• 7

How is the slope of the first equation described?

• 0

• 1 over 1

• 1 over 2

• 2 over 1

What is the x-intercept of the second equation?

• 2

• 4

• -8

• 0

Where do the two lines intersect?

• (4, -3)

• (-4, -3)

• (-4, 3)

• (4, 3)

What is the first step in solving by substitution?

• Multiply the equations

• Graph the equations

• Substitute one equation into the other

• Add the equations

What is the solution to the system using substitution?

• (1, 2)

• (-1, 2)

• (2, 1)

• (-2, 1)

What is the first step in solving by elimination?

• Subtract the equations

• Multiply the equations to get equal coefficients

• Add the equations

• Graph the equations

What is the solution to the system using elimination?

• (2, 3)

• (3, 2)

• (1, 2)

• (2, 1)

What type of line is used to graph the inequality?

• Thick line

• Dashed line

• Dotted line

• Solid line