Model and Write Equations and Inequalities

Which system of inequality is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y = -x - 1
  y ≥ x + 4

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Write a system of linear inequalities to model the situation.

• s + t < 20
  6s + 7.50t ≥ 92
  t >7

• s + t ≤ 20
  6s + 7.50t ≥ 92
  t ≤ 7

• A
• B
• C
• D

Which system of equations represents the graph?

• y = -3/5x - 3
  y = 3x - 3

• y = - 5/3 x + 3
  x - 3y = 9

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Solve using substitution.
2x - 2y = 2
y = -5x + 14

• (4, 5)

• (2.5, 1.5)

• (1.5, 5)

• (1, 2.25)

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

On a graph, the solution to a system of linear equations is given by _____

• The x-intercept of each line

• The y-intercept of each line

• All points on either line

• The point of intersection of the lines

Look at the graph to the left.

 

Which of the following ordered pairs represents the solution to the system?

• (1, 2)

• (2, 2)

• (2, 1)

• (0, 2)