Algebra Midterm Review

Which system represents the following scenario: The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000.

• x+y≤300

  7.5x+5.5y≥2000

• x+y<300

  7.5x+5.5y≥2000

• x+y≤300

  7.5x+5.5y≤2000

• x+y>2000

  7.5x+5.5y≤300

Write the system of inequalities
Eiko is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Eiko hopes to make at least $200 at the fair. 

• 10x+15y≤480
  45x+25y≥250

• 10x+25y≤200
  15x+45y≤480

• 10x+25y>200
  15x+45y<480

• 10x+25y≥200
  15x+45y≤480

Which point below is NOT part of the solution set?

• (0, 0)

• (-5, -4)

• (3, 5)

• (0, -2)

Which point below is part of the solution set?

• (-4, 0)

• (-1, -3)

• (0, 5)

• (4, 2)

In the graph of an inequality, the region below a dashed horizontal line through the point (4, 3) is shaded. What inequality does the graph represent?

• x<3

• x<4

• y<4

• y<3

• 
• 
• 
• 

• 2a²b⁶
• 1/2a²b⁶
• b⁶/2a²
• 2b⁶/a²

Simplify:

• 2

• 4

• 16

• 64

What is the area?

• 35 cm

• 30 cm

• 35 sq cm

• 12 cm

Find the sum (2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4